JOHNS HOPKINS UNIVERSITY CIRCULARS

Publis/zed wit/z t/ze approbation of t/ze Board of Trustees

VOL. XXII.—No. 160.] BALTIMORE, DECEMBER, 1902. [PRICE, 10 CENTS.

NOTES FROM THE MATHEMATICAL SEMINARY.

EDITED BY PROFESSOR FRANK MORLEY. ON THE HYPOCYCLOIDS OF’ CLASS THREE INSCRIBED IN A 3-LINE. (4) (K—1)X+o-,X H. A. By CONVERSE. and identifying (3) and (4) we have ~ 1. Steiner has proved’ that if from any point P of the circum- cY3K. 3-y, the perpendiculars be drawn to the circle of a given triangle a/ K = — 1 gives Steiner’s case. The centre is at a,/2, and size l. three sides of the triangle, their feet lie on a line L; and as the Hence in general (4) gives a deltoid turned through an angle point P moves around the circle the envelope of the line L is a K, whose centre is ~‘ and whose size is 1 (73K hypocycloid of the fourth order, and third class, which for short- —K+1 K—i, ness we shall call a deltoid, which touches the sides of the given For the cusps 11 = t, = iXT and triangle. This curve may be obtained by the rolling of one circle within another of radius three times as great. And, if we use Eliminate K and we have 3Xo-, or 1 (X’—o-,) x+o-,o-,— — o- — circular coiirdinates, its equation is x 2t + ~, as I runs on the (5) x 3X,the locus of the cusps as X varies. unit circle. If we generalize Steiner’s problem so that the lines 1 —~ from P, instead of being perpendicular to the three sides of the Put X= t, i. e. let X run around the unit circle, and theequation triangle, make a constant angle with them, we obtain the follow- __ a + /3+y — 3t ing:— 1— Theorem I. If from a point P on the circunwircie of a given a/3y triangle cL/3 maps the unit circle into a rational cubic curve. Hence the 7, the lines be drawn making a constant angle with the Theorem IL The locus of the three cusps of the system of del- three sides of the triangle, their cut-points with the three sides will lie on a line L, and the envelope of the line L as P moves around toids touching the given triangle is a rational cubic curve given by the circle will be a deltoid. And as the angle varies we will obtain the equation. (1) a+/3+y—3t a system of all deltoids touching the given triangle. For Xr The equation of the chord /3y is 1—— a/3-y Let us examine this equation. We may unite it with its Any line KX + f3yy — constant, makes a constant angle with (1). Let this line cut the unit circle at t, and we have its equation conjugate as (2) (2) KX+/3yy~Kt (7,0~ — 3tcr, y — — o,t’ — 3cr,t t u,(cr,—-t’) Combining (1) and (2), we have (for since ~ ÷1±1 a/S +13y + ya the conjugateof o~ is (K—i) X~Kt+—~—ff1 + a, where a/3y a/3y cr,/ (3) at Let (2) be cut by any line a + /3+7, ~ c43 + /3y + y’a, (7, = a/3-y. (3) Ax + By + 1 =0 (whereA and B areconjugatequantities). We put Then from (2) and (3) we have

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’ 2 JOHNS HOPKINS [No. 160.

2± 3A0- 2 — A~ (4) ~‘ B3B~ 3 ~ 3 1~3 ~ o. Draw the Euler line through ~1, the orthocentre, and 0, the 0-3 0-3 Ba3 0-3 B0-3 0-3 circumcentre, of the triangle as the axis of reals. Take the cir- The roots of (4), t1, t2, t~ give by (2) the points of intersection of cumcentre as the origin, and determine the positive direction of the line with the cubic. To find the involution of these points, put 3

r t1+~2±3~S1~ the axis to be from 0 to ~,. At the point ~ (0-3—.--,) erect a per- 3A — ~S’ pendicular to the axis of reals. This is the line of flexes, and cuts (5) -~ t1t2 + ~2t3~ s. 3Ao3’ 3o’ 2Bo3— — 0, the three sides of the triangle in the three points of inflexion. Bcr2 —i--3 0~—~— 03~ L t,f Ao1o3 3A—S For the asymptotes, (keeping 0-~ real) 2f3:3 ~— Bo2 4- 0~3 0io3 3aoB—S3a3+ 03— 0. ~ Eliminating A and B from these we obtain (6) 3~3—0-3~3+0-3~3—30-3 0, Let 73 -I~~o-3, -r3 — vi~9~’o-3 ~ 3 —thev~/’o-,imaginarywhere cube-~>0-~ rootsis aofselectedunity. the involution of points in which a line cuts the cubic. Callcubetheseroot quantitiesof ~ and T~v and(i~1,v 2, 3). Then if in If the three points coincide we have the triple-points of the 0~3 — 3o 3 — 3j3

involution, i. e. the points of infiexion of the cubic. (6) then x Xy~ 3f — A(o,t becomes 0303— 33Y 3- 37~37~3~ The roots of (7) are a, /3, and -y, hence the cubic has three real we put X 01Tj x Xy2 T,’cT 3) —3o-lo-3(-i31—13 )—3o- r (72 t3) —I-- 9o- 3t— t3’ri) (o,7i3—3Ti’) (0 3) infiexions, 3(Ti’—1 3(i-~ 3—t (o3 — 3a) 0-s, (0-3 3/3)0-s (0-3—37)0-3 for t — r the right side of this becomes (8) x— 3 3 0-3/3 — 0-37 — 0-3~0-3— 20- 20-

30-3’r~ — 3T~’ 30-3 To determine the flex-tangents putt1~ t3 — t3 —a; then S~ 3a 3-1-i3 and from (5) whence we have — (0- 3 — 3r~3) x (0-30-3 — 30- 20- _ 3B~3 —/3y —1 3 orB~ anditsconjugateA— Hence 3r~ 3r~) y 0-3~0-3 — 30-3 — 30-3-ri —20-3~~2. 0-3 /3-’r-y /3 7 3, remembering .that ~ i-j3, we have (3) becomes (13)Dividing(0- through by i-~ 3T~3) ~ 0- 20- 3Ti — 3) x (0-3Ti — 3?i — 37~ — 20-1. Hence the This for i — 1, 2, 3, gives the three asymptotes and is perpendicu- Theorem III. The sides of the triangle are theflex-tangents of lar to the line through -r~ and ~, for the equation of this line is the cubic curve, and thepoint of irifiexion corresponding to any vertex 3 x y 1 z~0 lies on the opposite side. 1 3) x—(~ 3) y~0- To determine the line of flexes, turn again to the involution. (14) ~ 1 or (0-31-~— 3r~—3z-~ 3ri’ —0-i. S3~a+/3 7~0-i Hencefrom(S) ~ i Hence the

(10) 0-3~/3 3B~3 B— _O0-3~0-30-30-10-3 A — 3o-3—0-30-3______Theorem V. The asymptotes of the cubic are perpendicular to Hence (3) becomes the lines joining the centroid of the triangle to the points On the (11) 0-3x 0-30-3y 30-3—0-30-3 0, circumeirele which correspond to the infinities of the cubic. the line of flexes. This is perpendicular to the Euler line of the The asymptotes are then easily drawn, for (13) and (14) cut at triangle the point ~ ~‘ and x y 1 ~0 2 are perpendicular. ~ 1 or A cubic with three real inflexions has an isolated double point 0-3 given by the neutral pair of theinvolution, theHessian of the cubic. 001 0-’0-~ —30-3 The Hessian of (7)3 is(90-3 — 0-30-3) t + (0-3’ — 30-30-3) = 0; (12) o-3x — o-3o-3y 0; and cuts this at the point x— 2o~3 for o-~ real(0-~~this— 30-is3)t Hence 0-3(0-3—30-3) t 0-3(9—0-3’) t + 0-30-3 (0-30-3—3>z~ 0. Theorem IV. The lines qf flexes of the cubic is perpendicular If h and h’ are the roots of this to the Euler line of the triangle. If now we take the Euler line of the triangle to he the axis of hh’ 0-3 (0-10-3 — 3 0-—30-1 3 reals, 0-~ is real. 0-~ is then its own conjugate and we have 0-3 h 0-~ (0-i — 0-3 — or 0-~ 0-30-3 3) 0-3 Then the double point is The Euler line (12) then becomes ~ (0-j 03 30-3 — y 0 and the line of flexes is x (ar— 3h) 3h’) (h h’ — h3— h’3 , or ____ 0-3~0-3 — 30-3 3 x+y— (15) x= 30-3 0-10-3 0-3 h’+hh’ ,(2.

These meet at For further aid in constructing the curve put t’ — -r~ and we 3 2x~a have 3 —— This gives a very simple method of constructing the line of flexes

and the points of inflexion, as follows - the three cusps of the deltoid of Steiner’s case.

) DECEMBER, 1902.] UNIVEI?SITY CIPCULABS. 3

y 2. If we consider again a deltoid touching the three given lines o-&(x+y) —1- ~a3crax+2ao-&(2y—ax)~3+4a0-lu3+oL~, or (the sides of the triangle a/3y) and make it touch any fourth line we can determine the point of tangency P. If we then move (7) x (u 3a3u 4au 4au 3. the line L parallel to itself, the point P as the deltoid turns and 3 — 3) —F- y(ui 3 J~3) = 3 —i-- 3u3 u1 In (7) put the value of y from (6) and get expands will trace out some curve. Let us determine this curve. x(0-l—3a3u3)(au3+ ) (ui±~ao~± )( +a~cr~) The equation of the deltoid is ±(o-i3±4a~iua± J~) (ao-a — 1) (3+ 4ao- 1u3 ±cr~) (cur3 + icr3)

Eliminate K and this is Simplifying3u 3 a3u this we obtain 3u (a 3 3u3 + au3u3 1)3u(a3 3~ a3u1) x 3au = (a 3 3u3 au3u3 —H 1) ( 3 —1—1), or 3au 3(—au and its conjugate (the Euler line being taken as the axis of 3u 3 reals, as above) is (8) .x=u3 3 u1— 3 Hence the envelope of1the aline3~ (5)— is1 — (—uau3) 3 (1’)

x = u, —31 where t—au3 From (1) and (1’) eliminate t and we have (9) 1——

This is allowable for since a and u3 are both turns — au3 is (2) (i~~i)x+ui~~ti ~Q also a turn. Hence the Theorem VII. The line of Theorem VIis tangent to the cubic curve on which the cusps of the deltoid lie. the equation of the tangent at t 1. If this be parallel to any givei~

line y — ax + h (where a is a turn) PROOF OF THE IMPOSSIBILITY OF THE CON- STRUCTION OF ONE OF THE KANTOR ______—hI1 (3,3)~~ CONFIGURATIONS. (3) ~T3 By W. B.

— au3 A ~ Configuration is a plane figure made up of ten points whence t1 = and ten lines, three points lying on each line, and three lines The point of contact P is then given by passing through each point. S. Kantor, in the Vienna Sitzungsberichte, December 1881, de- F &~i) (2t1 scribes tendistinct (3,3),~ configurations. We propose to show that (4) ~ with its conjugate the particular configuration which he calls Ccannot be constructed. 33 The only method given by Kantor for the construction of the i)-v —~2 a(r33 I(u~ au3 X C configuration consists of circumscribing a complete four-point To eliminate X write equations (4) upon a complete four-line in a certain order, as follows. If aa’, 3 (-i— 1 _ bb’, cc’ be the opposite pairs of points of the four-line (a, b, c lying X on a straight line and a’b’c’ being vertices of a triangle), and d, e, f, 1 2 au g be the points of the four-point, then C is obtained by passing 3 de through a

df “ b Multiplying these together we have the locus of P. dg “ c

fg “ a’ (5) ~ -I-- ~ a3cr3)+Y(o1+2acra—~73)~ 3±2curicra±20-1+30-3 a line, hence the ge b’ Theorem VI. If the tangents be drawn in a gThe’n direction to ef “ c’. the deltoids inscribed in a given triangle, the locus of the point of Kantor says this can always be done; for, given the four-line, one may take the point d at random, and the problem then tangency is a line. Now as a runs around the unit circle this line (5) will have reduces itself to inscribing a triangle, (efg) in three lines passing some envelope. To determine it, differentiate (5) as to a and get through a point, the sides of the triangle to pass respectively through three points (a’, b’, c’) not lying on a straight line. This, 1\ 1 (6) (1 au——au3 3 / y(au3 ‘—u-—au3, JZ~ 03 (ao. — au— 3, he says, can always be done in one way or in c~ ways. In general this is true, but in this particular case there is a certain To eliminate y from (5) and (6) write (5) in the form relation between the three lines and the three points, which causes ~aokaI aG3 the triangle to degenerate into a point. Let us take the triangle a’b’c’ as the triangle of reference, and and (6) in the form 2y — ax) 0-3 = 20-10-3 — 2o-~ the line abc as the line x1 + x3 ±x3 = 0. The points a, b, and o a/ao3 a-7--.0-3 (6’) 3i~2x ~2 ~ + ( Multiply (6’) by a and add to (5’) and get will then have as co-ordinates respectively (0,1, — 1), (— 1,0,1), and (1,— 1,0). Let d have the co-ordinates (d1, d3, d3).

) 4 JOHNS HOPKINS [No.160.

Then e, lying on da. is (d Let this conic cut the unit circle in the three points a, /3, y and 1, d2 + X1, d3 — X1) a fourth variable point t given by the equation “db,”(d1—X2, d2, d3 + X2) (3) x~+dx2+[f—a(K l)]x2+ex+a20 andg, “ “ do, “ (d1+X3, d2—X3, d3), where X1, X3, and X3 are to be determined. This equation must be identical with Since f lies on ec’, we have the relation AS’ S S d1 d2+X1 d3—X1==0 x4—S 2 S 2—S 1z 2 2x+84=0,whereS2, 21 3, 4 0 0 1 d1—X2 d2 d3+X2 are the symmetric functions of a, /3, -y and t. Then if ~ O~3 and O~3 be the symmetric functions of a, /3, and -y, and if we remember or d2+X ______that the Euler line is the axis of reals and hence 0-2 is real and

and since g lies onfa’, and e on gb’, we have similarly equal to its own conjugate ?~, we may write O~3 = O~~O~3 and obtain, 0-3 (2.) X2X3—d2X2+d3X3=O 0-i — t (3.) X3X1—d3X3 d1X1=0 r—s~ = — 2 = Multiplying (1.), (2.), and (3.) respectively by d3X3, d1X1, and I 52=111113-F111t=f—a(K+l), d2X2, and adding, we get (d1+d2 d3)X1X2X3=O ~ S4 a2t = a~. 2 Therefore either one of the X’s is zero; or (d1 + d2 + d3) = 0, Hence, putting(d = 111113a113+ a2 1. e., d must lie on the line x1 2 + x3 0. Neither of these hypotheses will give a (3,3)~~ configurati~n. Hence the C con- 113 figuration cannot be constructed.

113113 aa2 a11 3(K ~).

ON A SYSTEM OF HYPOCYCLOIDS OF CLASS 113 THREE. Now if the lines (1) be actual asymptotes of (2) we have (b+ 6’ — — d By H. A. CONVERSE. e Prof. Allardice’ has proved, that if we have a system of conics circumscribed to a given triangle, so that their asymptotes cut at Hence we have, 3K + 11 2 + 11 2)K a constant angle, the envelope of the asymptotes is two hypocy- (b = (a 1a11112a 2—1)1112Ka + 113 cloids, of class three and order four, which are inscribed to the a2 + 11 2.2(K11 2K given triangle. And that, as the angle between the asymptotes 111a112Ka 12a3)a + 112 - varies, we get a system of pairs of such hypocycloids. He states Putting these values in (1)2(1—Kwe have the two asymptotes given in further that the relation between the two hypocycloids of each terms of a single parameter a in the form pair needs further investigation, and the determination of this 1)x 2 relation is what I shall effect here. (3) r112(K2 —11 3—1)y~aK2—11 2 I shall first prove the proposition given by Prof. Allardice, 2K(K 1112K—---!---L — (4) ~~ K11 a 2) — 113(1 —K2)y--—aK—11 2— 11 a a2K2 = 0. using a method which gives the equations of the two hypocy- 3(l —K 2112K 1a113K 11a22 cloids in a very simple form, and from the equations, so deter- To obtain the equations of their envelopes we have but to differen- mined, the relations between the two appear very readily. tiate (3) and (4) as to a and we have I shall use conj ugate codrdinates 22 11K2 Ka 211 2—1)a3K 111 a (K211 X and Y being the ordinary cartesian codrdinates. 2K Let there be two lines (x— Kay—b =0, putting t = ~ Ihis becomes a (5) 11~K~2—i + K—i2Kt — (K2K%1~—l)t2 the first making with the second2~0 —a Kconstant2 angle 0, given by K (6) 113 113 Let the given triangle be a/3e-y, and take the circumcircle of ct/3-y 2Kt as the unit circle, whose equation then is From their forms these are deltoids. xy=1, That these deltoids are inscribed to the triangle a/3-y is evident also take the Euler line of the triangle as the axis of reals. geometrically from the fact that a system of conics through three For shortness I shall call a hypocycloid of class three and points contain pairs of two lines, one of which passes through two order four a deltoid. The conic whose asymptotes make the of these points and the other through the third. Analytically angle 0 is this appears as follows :—The line through any two points, say /3 and y, is (2) x2a(K+!)xY+a2y2+dx+ey+f=0 x + /3-~’y = /3+7 If this is one of the lines (3) there must be a value of the para- 1 R. E. Allardice: On some curves connected with a system of similar meter a which will be a turn, which will make (3) identical with conics. Annals of Mathematics, Series 2, Vol. III, No. 4, p. 154. this. Putting this equation identically equal to (3) we obtain 5 bECEMBER, 1902.] UNI VEPSITY CIBC ULA]?S.

In like manner those of (6) are 3-yy /3 -y and for a — — K‘3~’ Hence the deltoid touches x / (8) x+-~/~y c~=o. a~a and ~/3 becomes respectively x ayy K K (3) The angle ~ between (7) and_(8) is then given by a + y and x a/3y a /3. Hence the deltoid touches all (9) }9~’K~1T3~ — three sides of the triangles.

Also for a —- fSyK, — L7K, — ct/3K, (4) becomes respectively x /3-yy~/3 -y-, x ayy~a y, x-[- a/3y~a /3. And But 0 is given by E2~0 — K2 hence eliminating K from these two we both deltoids are inscribed to the triangle. Hence obtain. Theorem I (Allardice). The envelope of the asymptotes of a (10) 3~—20 nw, where n is any integer. system of similar conies through three points is two deltoids, each Hence, The deltoid (5) may be brought into the position (6), by a inscribed to the triangle of the three points. translation, perpendicular to the Euler line oj the triangle equal to a~ (1 + K2) the distance between their centres, and a rotation (7K2 The centre of the deltoid (5) is ~‘1 and that of (6) is 1—K2 2 These two are conjugate quantities, hence the centre of through an angle ~ about its centre, where ~ is given by the rela- tion, 3~b —20 = riw. (5) is the reflection of that of (6) in the axis of reals. The distance between the centres of (5) and (6) is

The size of (5) is ~ __ I 1 —l K~—1~ and that of(6) is and their size is ~ — 1(2~ Since these are independent, we may lKj hence the deltoids are equal. modify the theorem of Prof. Allardice as follows If we call the distance of the centre of one of the deltoids from Every pair of deltoids of equal size determine a particular tri-

the origin ~, angle (the triangle of their common tangents), such that these two deltoids shall be the envelope of asymptotes of a system of similar (7K (7 K2—l IK~—l11 conies circumscribed to this triangle. Hence we have J. H. U., Nov. 11, 1902. Theorem II. The centre oj one deltoid is the reflection of the centre of the other, in the Euler line of the triangle. The two del- ON A NEW CiRCLE WHICH ARISES FROM ANY toids are equal, arid the rctio of the distance of the centre of any deltoid from the circ~oncentre to its size is constant and equal to the NUMBER OF DIRECTED L1NES. distance of the orthocentrefrom the circumeentre. By C. E. BRooKs. If the asymptotes be perpendicular, E~ K2, or 1(2 — 1; the system of conies becomes a system of rectangular hyperbolas, and I shall show that the plane figure of any number of directed the equations (5) and (6) become lines determines uniquely a circle, to which all the lines are symmetrically related. One such circle is shown to exist by Mr. Loud, and is described by him in a memoir published in the (6’) -~ it— (73 Transactions of the American Mathematical Society, Vol. 1, No. 2— 2t~’ 3. Mr. Loud shows that three directed lines touch one circle; respectively, and, since — t is only another t, all four of these that four lines, taken in sets of three, give four snch circles, the equations give the same deltoid and we have the well-known fact centres of which lie on a circle. This is the first circle of the that the envelope of the asymptotes of a system of rectangular four lines. Five lines, four at a time, give five such circles: the hyperbolas circumscribed to a triangle is one deltoid inscribed centres of these lie on a circle, the first circle of the five lines. to the given triangle. This process can be extended to any number of lines. We call Next consider two deltoids (5) and (6). Call ~bthe angle the final circle thus obtained for any given set of lines, thefirst which a cusp tangent of (5) makes with a cusp tangent of (6). circle, and its centre thefirst centre. shall now determine the relation between ~ and 0. I shall prove the existence of another nnique circle arising The cusps of (5) are given by t — i9~’~7~, and those of (6) are in this way. Consider four directed lines: from the first centre of three of them, drop a perpendicular upon the fourth, and repeat given by t — this for every selection of three out of the four lines. The four (7 2 — perpendiculars so obtained touch a circle. In the case of five The cusps of (5) are 1K K2—l lines: select a set of four, and drop a perpendicular from a point (73 — 3~5 (731C and those of (6) are midway between the centre of the circle just found and the first 1—Ks centre of the four, upon the remaining line. Extending the Any cusp-tangent of (5) is then operation to each set of four, we get five perpendiculars which all (711(2 3K13 (73 (71 + 3 2K2 touch a circle, as I shall prove. The circle obtained in this way, 21 K2i~ K2—i (K2—l)o- 1~3 1z~0, I have called the in-circle of the five lines. For any number n K 2 ~1 2 of lines, the perpendiculars on each line, through points which cut K (7—12K K2—1 the strokes, from thefirst centres to the in-centres of the remaining a , y, or n —-1 lines in a fixed ratio, all touch a circle,which is the in-circle of the n lines. (7) a + ~9/1T32K2 y + c’ 1 0. 6 JOHNS HOPKINS [No. 160.

Let us investigate the above construction analytically. If x n-Fl and y are the conjugate co6rdinates of a point, and I is a quantity The centre of this circle is the point x aa for n + 1 lines. of absolate value unity, the equation of a line can be written We need a method of writing the various partial sums of (1) xt n l’s in terms of n + 1 l’s and the variable I. 1 y/t1 — 2r — 0 It is evident that r1 is real, and is the distance of the line (1) from the origin. The We shall use the following relations. Ofnt’s OUn+lt’s distance of the point ab from the line (1) is Si =81—t 2 S — 52—151 t’ We can now assign direction to a line, by making the conven- Sr SrtSr~i tlSr.2+(1)2tr. tion that if ~ is positive, the point is on the right hand of one By employing the known identity, facing in the direction of the line. If in the equation we get these additional relations: .Sn +1 , we consider t as a I variable parameter of absolute value unity, we have the equation Sr±1 #Sr±~2 +~— of the circle of radius r and centre at the origin. We now proceed to thet proofoft the existence of the in-circle Consider three lines (1), (2), (3), of any number of lines. Consider four lines, (1), (2), (3), (4), xt4+y/t4—2r4~0, irzl,2,3. given by the equations

The locus of points equidistant from (1) and (2) is xt~ y/t~ — 2r~ 0 where i 1,2,3,4. The in-centre of 1,2,3, is x(t1—t2) 3 33 x a from (1) and (8) is 1, y = 53a,, where a and S refer to three l’s.

x (t1 — t3) + y — ;3) —2 (r, — r3) = A perpendicular from this point on the line 4, is given by

X1 y/t4~14a1 —--S1 a Their meet is: x ~ — — 13) 14 ~ Extending this to each set of three, by using the relations estab- 123 lished we get This is the first centre of the three lines. If i is 1,2,3 ... n, we 1 have n lines. Loud shows that the first centre of n lines is: xl—y/t = t(a1—1a2)—~- (a2—ta3) (53—153 + t~S~—t~j ~ t = a~l ±a2 (—Sit + 52—53h’) + a354h-’, or {x—(ai—Sia2)} t— {y— (a253—a354)} 1—1 =a2S2, where Let 1.11 the a’s and S’s refer to four i’s. This is the equation of a circle, and since for the given values

n n fl of t it is the equation of each of the perpendiculars, the perpen- If x is aa, then y, the conjugate of x is ba. If 5, represents the diculars all touch the circle. It is the in-circle of the four lines. sum of the combinations of the n l’s, r at a time, then Its centre is 1Sa 11 fl fl x a1—51a2. Now let us introduceb — another(—1) ~—line, making i 1,2, . . . ft 1. Form the expression The first centre of four lines is x = a1. The point midway between 2a~ —51a2 these is x . A perpendicular from it on the line F(t) 2r i~ —~(1~— I 2

1...n+1 x11 + y/11 — 2r1 0 is given by where t takes all values of absolute magnitude unity. When xt3 — yt1’ 1(2ai — 51a2) — t3~’ (— 254a3 53a2 I tn + 1 2rt~’ —1 Extended to every set of four out of five, just as before, it becomes 1 { y—(28 in { x—(2a1—281a2+S2a3) } ---t— 5a~—2S4aa±S.3a2)} a2Si2—a3~Sf3 2r 1 This is the equation of a circle. We see that the five perpen-

1...n+1 diculars all touch a circle uniquely determined by the five lines. 2r It is the in-circle of the five lines. 1i1~’— a--i 11+1 n+1 Proceeding in this way, it can be shown that six lines have —t -~ ~a t such a circle, and seven lines also have. It is unnecessary to Combining these: 1...n±1 give the calculations. The single particular in which these cases

n n+1 n+1 differ from those already examined is in the ratio in which the aa=a’a—ta -Fl. perpendiculars cut the linesjoining the first centres and in-centres When I takes the value of 4 for any particular line this expres- of the selected sets. In the case of six lines, we drop a perpen- n dicular on the sixth line from the point which divides the first sion gives the point aa for the remaining n lines. This relation n centre and the in-centre of the five lines in the ratio two to one. says that the n + 1 points x aa corresponding to the various The resulting equation of the circle touched by the six perpen~ selections of n lines from the given n —J-- 1, all lie on a circle. diculars is

) ) 7 DECEMBER, 1902.] UNIVERSITY CJIWULAJ?S.

3a,—3S 1a2 —i-- 2S~a3 The first and last terms are not accounted for in this analysis. 3S~a4— 28403 + Sins) S2cs2— S~a~ +Ss~4 They give, respectively, This is the in-circle of six lines. Now if we draw a perpendicular a on a seventh line from the point dividing the first centre and the 1t and (— 1)52—1S~a~....it1. in-centre of the six lines in the ratio three to one, we find that The whole equation can be written finally as the seven such lines touch a circle, the in-circle of the seven lines. Its equation is

— 4S~o~ 4- 35203 — 28304+ S4O5 3

— ~ ~ [~—4S7ae— 48~a~+ 355a4— 28403+ Ssas] = S2a2—53a3+ Sia~—Ssor r = 2 Let us now examine the results obtained, and see if they conform — (~l)rS~o~

to any general law. We have these facts: r =v— 2 Number of Ratio in which the This is the equation of a circle. But since it is the circle lines, firstareanddivided.in-centre Centre of the new circle obtained. constructed in the required way, it is the in—circle of v lines- Four Zero to one = 0~ — SiOs Its centre 2a, — 2S,a~ -i-- 82e3 (v— 3)a,—(v— ~ (—1)r—lSr—iar(v — r —1) ... (— 1)v1S~,3ov...2 Five Oneto one 2 I = v —3. 3a~ — 38,a~ + 28203 —83a4 Six Two to one 3 4a~ — 4S~a~ —4-- 3S~a~ — 2~S~a4 -4-- S~a~ Seven Three to one x= 4 agrees with the assumption. These can all be expressed by We have now proved that if n lines have an in-circle, then n n—4toone n -~- 1 lines also have one. But since we know that five lines do determine such a circle, it follows that any given number of n—3 directed lines have an in-circle. And since y is the conjugate of x.

n—3 Now let us assume that an in-centre of n lines does exist, and THE AMERICAN JOURNAL OF MATHEMATICS. that this is the correct expression for it. If our assumption is This journal is edited by Professor Frank Morley with the justified we shall be able to find the in-centre of n + 1 lines. codperation of Simon Newcomb, A. Cohen, Charlotte A. Scott, From the point dividing the first centre and the in-centre of and other mathematicians. The journal was commenced in 1878, n lines in the ratio n + 1 —4 1 drop a perpendicular on the under the editorial direction of Professor Sylvester. Twenty-four n + 1/h line. Then, by using the relations between the a’s and volumes of about 400 pages each have been issued and the the S’s, as before, we get the following equation for all the twenty-fifth is in progress. It appears quarterly. Subscription perpendiculars. $5 per year. Single numbers $1.50. A few complete sets remain. n +1—3 1—4) } These will be sold for $100 per set. + (— l)fl—l(ofl~i~ — ton±t—2) (Sn+i—s— tSn±1—5... tn+ CONTENTS OF VOLUME XXIV. (1902.) t—i { (n + 1— 3)(— 1)0—1(00+1.2 —ton-j-i—i) (Sn— tS BOCHER, MAXIME. On Systems of Linear Differential Equations of the 0—~ ... t~ First Order. n4-1—3 DICKSON LEONARD EUGENE. Canonical Form of a Linear Homogeneous Transformation in an Arbitrary Realm of Rationality. Cyclic Subgroups of the Simple Ternary Linear Fractional Group n+1—3 in a Galois Field. Replacing n + 1 by v, the number of lines, and summing for r, EISENUART, L. P. Infinitesimal Deformation of Surfaces. we get HANcocK, 1-JARRIS. Primary Prime Functions in Several Variables and a Generalization of an Important Theoresis of Dedekind. HARDY, JAMES G. Curves of Triple Curvature. 3, HAWKES, H. E. Estimate of Peirce’ s Linear Associative Algebra. 1...v—2 KANTOR, S. Die Typen der linearen Complexe elliptiseher Curven im Br.

— ~—1 ‘ (—1)s(s’ —1)(a1. — tor±i)(Sr+i— Srt...tr+1 MILLER, G. A. Groups Defined by the Orders of Two Generators and the Order of their Product. tm. To show that this is the equation of a circle, it is enough to show MORITI, OnROBERTa MethodE. Generalizationof ConstructingofallthetheDifferentiationGroups of OrderProcess.p NEWSON, H. B. A New Theory of Collineations and their Lie Groups. that the coefficient of any a contains t only as 11 and I ~. In PUTNAM, T. M. On the Quaternary Linear Homogeneous Group and the general we shall have Ternary Linear Fractional Group. 3 tr)+(z~~r~2)(Sr it—Sr 2t~ tr) } ROBERTS, R. A. On Certain Properties of the Plane Cubic Curve in Or{ (—1)r—1 { (v—r—l )(Sr—2t’-—Sr it Relation to the Circular Points at Infinity. STECKER, HENRY FREEMAN. Non-Euclidean Properties of Plain Cubics 4~ (r—1) (Sr±tt1—Sr+Srv—3it tr)+(r—2) (Ss—Sr.it+...tr) ~J~ I- and of their First and Second Polars. THOMPSON, HENRY DALLAS. Simple Pairs of Parallel W-Surfaces. This reduces to WHITEHEAD, A. N. On Cardinal Numbers.

—],) 8 JOHNS HOPKINS [No. 160.

AN ACCOUNT OF MERLIN’S BIRTH IN C/ESAR These words are clearly in reference to the earlier edition which OF HEISTERBACH. is thus described in the special card catalogue of incunabula in the Universitiitsbibhiothek of G6ttingen: By GEORGE C. KEIDEL. Ccesarius Heisterbacen.: Dialogi miraculorum. Impr. p. There are certain literary fictions which have spread from coun- lohannem Koelhoff, civ. Colonice, 1481. try to country with wonderful rapidity, and have soon become a This in turn is probably derived from the editio princeps, permanent factor in the world’s literature. One of these is the which is thus described in the unpublished catalogue of the story of Merlin, which first appears in Geoffrey of Monmouth Stadtbibiiothek of Mainz: about the year 1135 A. D., and which has gained for itself a most Clesarius Heisterbacensis, Dialogus rniraculorum. (Colonice, important place in the cycle of Arthur legends and the Quest of Ulr. Zell) s. a., fol. 1189. the Holy Grail. Tile manuscript basis on which this last-mentioned edition rests Recently there has come to my notice an early reference to is unknown to me, but the author himself is thought to have com- Merlin’s supernatural birth and wonderful prophecies.’ It was posed his work about the year 1220, and hence the passage made in Germany early in the thirteenth century. This version quoted above attests the early popularity of the Merlin legend in differs materially in its setting from some of those best known, the valley of the Rhine. inasmuch as the legend is cited in connection with a similar one as to the demoniac origin of the Huns. The passage to which I refer reads as follows: “Dum gens Gothorum cx Asia migraret in Europam, sicut in OBITUARY. gestis legitur, haberetque mulieres deformes in suo comitatu, eiecit illas, timens ne liberos nimis deformes gigneret, sicque nobilitatem Gothorum deformaret. Qu~e de castris extruso~, cum errarent in nemore, accesserunt ad illas incubi d~emones, genueruntque ex eis ALFRED W. STRATTON. fihios et films, cx quibus processit fortissima gens Hunorum. Legitur etiam Merlinus propheta Britannorum cx incuho demo- ALFRED WILLIAM STRATTON, Pu. D., 1895, died on the 23d ne, et sanctimoniali fmmina generatus. Nam et reges, qul usque of August, at Gulmarg in Kashmir in India. He was graduated hodie regnant in eadem Britannia, qu~e nunc Anglia dicitur, de in 1887 in the University of Toronto, and for some years teacher matre fantastica descendisse referuntur. Merlinus vero homo of Classics in the Hamilton Collegiate Institute. In 1892 he rationalis et Christianus fuit, multa futura pr~edixit, qu~ie quotidie came to this University as a student of Sanskrit and Comparative implentur.” Philology, was appointed Fellow in 1893, and l)romoted to the The author of this curious story is Cresar of Heisterbach. It degree of Doctor of Philosophy in 1895. He was at once made is found in his Illustria Miracula et Ilistoriae Mie,norabiles, Liber Assistant, and later Associate in Sanskrit at the University of Tertins: De Ooufessioue, Caput xii. A copy of this work bound Chicago; there he remained, a successful teacher and investigator, in pigskin, with cameo stamp and blind tooling (Washington, until the year 1899. Library of Congress, xvi. 12Gm), was consulted. Its title-page At that time the combined position of Principal of the Ori- reads as follows: ental College at Lahore and Registrar of the Panjab University Illustriurn ]Jliraeulorum et Ilistoriarurn Miemorabiliurn Lib. XII. became vacant. The incumbent of that position, the famous Ante annos fere CCCC. a Cesario Heisterbacensi, ordinis Thdologist A. M. Stein, had accepted the post of Principal of Cisterciensis, Coloniensis dicecesis, viro venerandce pietatis et the Madrassah in Calcutta, and Professor Bloomfield was called reconditce doctrince, de ijs, quce sua cetate rnemoratu digna conti- upon to nominate his successor. Upon his recommendation Dr. gerunt, accurate conscripti: ab omnibus quidem Orthodoxce reli- Stratton was duly appoiuted to the difficult and responsible post. gionis et verce pietatis amantibus, propter cuidentem utilitatem et His duties were to administer the affairs of higher education in iucunditatem diu desiderati: nunc ab innumeris inendis, quibus the Panjab, and at the same time to manage tile Oriental College incuria veterum scriptorum et chalcographorum scatebant, diii- at Lahore and to lecture on Sanskrit and Comparative Philology. genter repurgati, et recens in lucem editi. ColoniL Agrippin. He was also carrying on during that time investigations of a high in Officina Birckmannica, sumptibus Arnoldi Mylij, Anno order, and collecting manuscript materials for the production of M.D.XCIX. Cum gratia et Priuilegio Sacrce Ctesarece Maiestatis. a hitherto unpublished Vedic text. In July of the present year iGmo, xxxii, 902 and xxxix pp. he left Lahore for his vacation in Kashmir; he appeared to be The following statement is made in the Prcefatio: well, though overworked and weakened by the heat of the Indian Prodit, denuo, non semel quidem ohm typis euulgatus Ccesarius, plains. The second day after reaching the mountains he fell ill of sed postrema, ut videtur, editio in annum a Christo seruatore nos- ‘Malta fever,’ died, and was buried at Gulmarg. He was thirty- tro nato 1481. incidit. eight years of age at the time of his death. His wife was with him until the end came; there are no children. Indian science

1 For a general treatment of the subject see the admirable introduction Ilas lost through his death one of its most useful and promising to: Merlin: Roman en Prose du XJIIe Si~cle, publi6 avec la Misc en Prose workers; the Johns Hopkins University one of its most brilliant du PoSme de Merlin de Robert de Boron, d’apr5s le manuscrit app~rtenant graduates. ~ M. Alfred H. Huth, par Gaston Paris et Jacob Ulricb. Paris: librairie de Firmin Didot et Cie., 56 Rue Jacob, 1886. 2 vols. 8vo., viii, xcii, 280; iv and 308 pp. (Soci&~ des Anciens Texies Fran9a’is.) DECEMBER, 1902.1 UNIVERSITY CiRCULAI?S. 9

RECENT APPOINTMENTS.

Graduates and students of the Johns Hopkins University have recently received appointments as follows. When the institution is not named, this university is to be understood.

Classics. P. L. KAYE (Ph. ID., 1898)—Instructor in History, Baltimore City K. F. SMITH (Ph. D., 1889, Instructor, Associate, and Associate Professor, College. 1889—1902)—Professor of Latin. [Promotion.] H. L. MOORE (Fellow, 1895—96, Ph. ID., 1896, Instructor, 1896—97)— H. L. WILsoN (Fellow, 1895, Ph. D., 1896, Instructor and Associate, Adjunct Professor of Political Economy, Columbia University~ l895—1902)—Associate Professor of Latin. [Promotion.] H. R. SEAGER (Graduate Student, 1890-91)—Adjunct Professor of W. B. DANIEL (Fellow, 1900—01, Ph. D., 1901)—Professor of Latin, Political Economy, Columbia University. l3aylor University. W. F. WILLOUGHBY (A. B., 1888, Lecturer, l900—1901)—Treasurer of W. L. FOUSHEE (Fellow, 1899—1900, Ph. D., 1900)—Professor of Latin, Porto Rico. Richmoud College, Virginia. [Promotion.] B. H. WRIGHT (Graduate Student, l9Ol—02)—Instructor in History, W. HIJLLIHEN (Fellow, 1898—99, Ph. D., 1899)—Instructor in Classics, Baltimore City College. iMarston’s University School, Baltimore. [See also under head of Miscellaneous] J. W. KERN (Ph. D., 1899)—Adjunct Professor of Latin, Washington and Lee University. Mathematics. W. A. MONTGOMERY (A. B., 1892, Ph. D., 1899)—Classical Master, A. B. CaBLE (Fellow, 1901—02, Ph. ID., l902)—Instructor in Mathematics, &wanee Grammar School, Tennessee. University of Missouri. [See also under head of Miscellaneous.] H. I. CRoss (Graduate Student, l900—02)—Instructor in Mathematics, Agassiz Hall, Alta, Cal. Oriental Languages. G. 0. JAMES (A. B., 1895, Fellow, 1898—99, Ph. ID., 1899)—Instructor in F. R. BLAKE (A. B., 1897, Fellow, 1898—1902, Ph. D., l902)—Instructor Mathematics and Astronomy, Lehigh University. in Oriental Languages. Physics. J. D. PRINCE (Fellow, 1891—92, Ph. ID., 1892)—Professor of Oriental Languages, Columbia University. W. H. BROWNE, JR. (A. B., 1890, Proficient in Electricity, 1892)— [See also under head of Miscellaneous.] Technical Editor, “Electrical Review,” N. Y. L. IDUNCAN (Ph. ID., 1885, Associate and Associate Professor, 1886—99)— Modern Languages. Professor of Electrical Engineering, Massachusetts Institute of Technology. ‘~r• D. BASKETT (Graduate Student, 1900—02)—Professor of Modern W. B. HUFF (Ph. ID., 1900, Assistant and Instructor, 1900—02)—Asso- Languages, Central College, Mo. ciate in Physics, Bryn Mawr. R. J. BIGGS, JR. (Graduate Student, l9Ol—02)—Instructor in English, E. P. HYDE (A. B., 1900, Fellow, 1900—02)—Laboratory Assistant, U. S. Public Schools, San Juan, P. R. Bureau of Standards. P. BUTLER (Fellow, 1897—99, Ph. D., 1899)—Professor of English, J. F. MEYER (Graduate Student, lS97—l900)—Instructor in Physics, Tulane University. University of Pennsylvania. F. L. CRITORLOW (Graduate Student, 1899—1902)—Instructor in French, L. A. PARSONS (Fellow, 1900—02, Ph. D., 1902)—Assistant in Physics. Princeton University. H. PENDER (A. B., 1898, Ph. ID., l901)—Instructor in Physics, Syracuse A. E. CURBY (Fellow, 1901—02, Ph. ID., l902)—Instructor in French, University. Yale University. C. C. SCHENCK (A. B., 1893, Ph. ID., l901)—Instructor in Physics, G. ID. DAVIDSON (A. B., 1899)—Professor of Romance Languages, McGill University. Rawlings Institute, Charlottesville, Va. [See also under head of Miscellaneous.] F. IDE HAAN (Fellow, 1894, Ph. ID., 1895, Assistant, Instructor, and Associate, 1894—97)—Associate Professor of Spanish, Bryn Mawr College. Chemistry. [Promotion.] G. ALLEMAN (Ph. ID., 1897)—Professor of Chemistry, Swarthmore E. B. FOSNOCUT (A. B., 1899)—Modern Language Master, Cheltenham College. Academy, Ogontz, Pa. IR. M. BIRD (Ph. ID., 1901)—Acting Professor of Agricultural Chemistry, F. C. HICKS (Fellow, 1900—01, Ph. ID., 1901)—Instructor in German, University of Missouri, and Acting Chemist, Missouri Experiment Station. Monmouth College, Illinois. F. E. CLARK (Ph. ID., 1902)—Associate in Organic Chemistry, West J. HOFMANN (Graduate Student, 1896—1902)—Assistant in German. Virginia University. H. KURRELMEYER (A. B., 1899, Fellow, 1901—02, Ph. ID., 1902)— C. F. LINDSAY (Fellow, 1901—02, Ph. ID., 1902)—Chemist, iRepauno Instructor in German, Massachusetts Institute of Technology. Chemical Company, Chester, Pa. C. E. LYON (A. B,, 1898)—Instructor in German, Princeton University. A. M. MUCKENFUSS (Ph. ID., 1895)—Professor of Chemistry, Univer- C. A. SMITH (Ph. ID., 1893)—Professor of English, University of North sity of Arkansas. Carolina. W. S. WEEDON (Fellow, 1901—02, Ph. ID., 1902).—Research Chemist, A. G. STIDMAN (A. B., 1898)—Instructor in French, Lehigh University. General Electric Company, Schenectady, N. Y. G. L. SWIGGETT (Graduate Student, 1889—90, l892—93)—Acting Professor [See also under head of Miscellaneous.] of German, University of Missouri. [See also under head of Miscellaneous.] Geology. G. B. SHATTUCK (Fellow, 1896—97, Ph. ID., 1897, Assistant and Associate, History, Economics, and Politics. 1897—1902)—AssociateProfessor of Physiographic Geology. [Promotion.] B. W. ARNOLD (Ph. ID., 1896)—Professor of History and Economics, [See also under head of Miscellaneous.] Randolph-Macon Woman’s College, Lynchburg, Va. G. M. FIsK (Special Student, 1887—88, Albert Shaw Lecturer, 1901—02) Zoology and Botany. —Professor of Commerce, University of Illinois. E. L. BOWLUS (A. B., 1897)—Instructor in Biology, Monmouth College, C. H. HASKINS (A. B., 1887, Instructor, 1889—90, Ph. ID., 1890)—Professor Illinois. of History, Harvard University. J. G. CAMPBELL (A. B., 1902)—Science Instructor, McIDonogh School. J. H. LATANE (A. B., 1892, Ph. ID., 1895)—Professor of History, B. E. COKER (Graduate Student, 1901—02)—Naturalist, Geological Washington and Lee University. Survey of North Carolina. C. F. LEHMANN (Graduate Student, 1883—84)—Associate Professor of W. C. COKER (Ph. ID., 1901)—Associate Professor of Botany, Univer- Ancient History, University of Berlin. sity of North Carolina. 10 JOHNS HOPKINS [No. 16~X.

J. B. DUERDEN (Ph. ID., 1900, Bruce Fellow, 1901—02)—Acting Professor JOHNS HOPKINS UNIVERSITY STUDIES of Biology, University of North Carolina; Assistant, American Museum of Natural History, New York (Summer of 1902). — IN — C. GRAVE (Fellow, 1898—99, Ph. D., 1899, Bruce Fellow, 1900—01, Assistant, 1901-02)—Associate in Zoology [Promotion]; Director of the Historical and Political Science Marine Laboratory of the U. S. Fish Commission, Beaufort, N. C. (Edited by H. B. ADAMS, 1582—1001). L. E. GRIFFIN (Fellow, 1899—1900, Ph. ID., 1900, Bruce Fellow, 1900) —Professor of Biology, Missouri Valley College. J. M. VINCENT, H. F. PERKINS (Ph. ID., 1902)—Assistant Professor of Biology, Univer- J. H. HOLLANDER, W. W. WILLOUGHBY, sity of Vermont. Editors. A. M. REESE (A. B., 1892, Ph. ID., 1900)—Instructor in Biology, Syra- cuse University. ID. N. SHOEMAKER (Assistant, 1900—01, Fellow, 1901—02)—Science PROSPECTUS OF TWENTY-FIRST SERIES Instructor, Hartsville Seminary, S. C. 1903.

Medical Sciences. The University Studies will continue to publish, as heretofore, the results~ (In addition to a large number of hospital appointments). of recent investigations in History, Economics, and Political Science. The new series will present topics of interest in the early political and W. BAIJMGARTEN (A. B., 1894)—Assistant in Medicine. economic history of Europe and America. The cost of subscription for the regular Annual series, comprising about 600 pages, with index, $3.00. J. I. BUTLER (M. ID., 1901)—Assistant in Anatomy. Single numbers, or special monographs, at special prices. H. FRIEDENWALD (A. B., 1884)—Professor of Ophthalmology and Otology, College of Physicians and Surgeons, Baltimore. [Promotion.] For the year 1903 the titles given below are now announced, and other num- L. K. HIRSHBEEG (A. B., 1898, M. ID., 1902)—Associate in Neurology, bers will followfrom time to time. College of Physicians and Surgeons, Baltimore. HISTORY OF INTERNAL IMPROVEMENTS IN NORTH G. L. HUNKER (M. ID., 1897, Assistant, 1901—02)—Associate in Gynecol- CAROLINA. By C. C. Weaver. ogy. [Promotion.] THE WABASH TRADE ROUTE IN THE DEVELOPMENT W. MoIN. MILLER (Graduate Student, 1899—1900)—Professor of Pathol- OF THE OLD NORTHWEST. By E. J. Benton. HISTORY OF JAPANESE PAPER CURRENCY. By M. ogy and Bacteriology, University of Missouri. Takaki. S. ROSENHEIM (A. B., 1895, M. ID., 1899)—Assistant in Laryngology. MUNICIPAL PROBLEMS IN MEDL~VAL SWITZER.. G. Y. iRIJSK (A. B., 1896, M. ID., 1900)—Assistant in Psychiatry. LAND. By J. M. Vincent. F. R. SABIN (M. ID., 1900)—Assistant in Anatomy. DU PONT DE NEMOURS AND AMERICAN AFFAIRS. B. R. SOJIENOK (M. ID., 1898)—Instructor in Gynecology. By J. H. Hollander. J. N. SIMPSON (M. D., 1902)—Instructor in Anatomy and Physiology, West Virginia University. P. G. STILES (Fellow, 1900, Assistant, 1900—02, Ph. ID., 1902)—Instructor NEW EXTRA VOLUME. in Physiology, New York University. A new Extra Volume is now in press and will appear early in 1903, on. M. T. SUDLER (Ph. ID., 1899, Instructor, 1899—02)—Instructor in Anat- the Finances and Administration of Providence, by Howard K. Stokes. omy, Cornell University Medical School. This will be a valuable contribution not only to the history of Rhode J. L. YATES (M. ID., 1899, Assistant, 1901—02)—Assistant in Pathology, Island, but also to the history of American municipal institutions, a field. University of Pennsylvania. in which there is much to be done. The new volume will be a com- panion to the Financial History of Baltimore, already published in this. series. Miscellaneous.

WoODROw WILSON (Fellow in History, 1884—85, Ph. ID., 1886, Lecturer TWENTIETH SERIES (1902), COLONIAL AND ECONOMIC HISTORY~ 1887—98)—President of Princeton University. This series is now ready. Price, bound in cloth, $3.50. C. R. KEYES (Fellow in Geology, 1891—92, Ph. ID., 1892)—President, New Mexico School of Mines. I. WESTERN MARYLAND IN THE REVOLUTION. By C. S. PALMER (Fellow in Chemistry, 1885—86, Ph. ID., 1886)—President, B. C. Steiner. 30 cents. Colorado School of Mines. h-ILL. STATE BANKS SINCE THE PASSAGE OF THE NA- TIONAL BANK ACT. By G. B. Barnett. 50 cents. C. ADLER (Fellow in Semitic Lang., 1885—87, Ph. ID., 1887, Instructor Iv. EARLY HISTORY OF INTERNAL IMPROVEMENT and Associate, 1887—93)—President of the Board of the Jewish Theological IN ALABAMA. By W. B. Martin. 30 cents. Seminary, New York. v-vL. TRUST COMPANIES IN THE UNITED STATES. By J. T. BARRETT (Graduate Student in Physics, 1899—1902)—Principal George Cator. 50 cents. vil-VILI. THE MARYLAND CONSTITUTION OF 1851. By Walters School, Richmond, Ky. J. W. Harry. 50 cents. W. B. CLARKSON (A. B., 1882)—Assistant Professor of the Law of Con- Ix-x. POLITICAL ACTIVITIES OF PHILIP FRENEAU. tracts, Yale University. By S. B. Forman. 50 cents. C. B. FUEST (Graduate Student in English, 1893—97)—Secretary, Teach- XL-XH. CONTINENTAL OPINION REGARDING A PROPOSED MIDDLE EUROPEAN TARIFF UNION. By G. ers College, Columbia University. M. Fisk. 30 cents. P. M. HUGHES (A. B., 1886)—IDirector of High Schools, Washington, ID. C. B. B. JAMES (Ph. ID., 1897, in History)—Acting Professor of Psychology and Logic, Western Maryland College. The set oftwenty (regular) series is now offered, uniformly bound ALBERT LEFEYRE (Graduate Student, 1894—95)—Assistant Professor of in cloth, for library use,for $60.00, and including subscription to~ Philosophy, Cornell University. the current (twentieth) series, for $63.00. R. J. G. MOKNIGHT (Graduate Student in Greek, &c., 1901—02)—Prin- The twenty series, with eighteen extra volumes, will be sold for’ cipal and Professor of Greek, Mercer Academy, Pa. $78.00. M. B. OGLE (A. B., 1902)—Instructor in Languages and History, DeKoven Hall, Tacoma, Washington. T. B. SHIELDS (Ph. ID., 1895)—Instructor in Physiological Psychology, All business communications should be addressed to Catholic University. THE JOHNS HOPKINS PRESS, BALTIMORE, MARYLAND.. DECEMBER, 1902.] UNIVERSITY CIROULAPS. 11

ENUMERATION OF CLASSES, FIRST HALF-YEAR, 1902-1903. Recent Progress in Experimental Physics: Professor R. W. Mathematics. (63 Students). WOOD. 4 p. in., Room 18. (Day announced by bulletin). Classes meet in the Physical Laboratory, except as otherwise stated. Open to students generally in Physics and Chemistry. lheory of Groups: Professor MORLEY. Monday, 10 a. in., Tues- Laboratory Manipulation: (Glass-Blowing, etc.): Professor R. day, 9 a. in., Room 26. (5). W. WooD. Friday, 5 p. in., Room 18. Brooks, C. E. Converse, H. A. Hun, J. G. Phillips, H. B. Carver, W. B. Open to students generally in Physics and Chemistry. Geometry: Professor MORLEY. Wednesday, Thursday, Friday, 9 Applied Electricity: Dr. WHITEHEAD. Monday and Tuesday, 10 a. in., Room 26. (10). a. in., Room 24. (8). Brooks CL. Grove, C. C. Melville, C. E. Stephens, II. P. Cloud, J. H. MacDonald, XV. F. Schmeisser,F. G. Stephens, H. P. Carver; W. B. Hun, J. G. Phillips, H. B. Thomeen, H. J~ Converse, I-I. A. MacDonald, XV. E. Hoxton, L. G. Robinson, C. A. Springsteen,H.XV. Uhier, H. S. General Physics: (Major Course): Professor BLISS. Daily, except Lie’s Theory of Differential Equations: Dr. COHEN. Tues- Thursday, 12 in., Room 18. (6). day, 11 a. in., Wednesday 10 a. in., Room 26. (5). Bond, F. M. Cloud, J. H. Messick, J. F. Phillips, H. B. Converse, H. A. Hun, J. G. Melville, C. E. Phillips, H. B. Bradshaw, H. Melville, C. F. Grove, C. C. General Physics: (Minor Course): Professor AMES and Dr. WHITE- Differential Geometry: Dr. COHEN. Thursday and Friday, 10 HEAD. Daily, except Tuesday, 10 a. in., Room 18. (22). a. in., Room 26. (9). Bassett, H. P. Dulany, R. G. MeColgan, F. Schwatka, J. B. Brooks, C. E. Grove, C. C. MacDonald, W. F. Reynolds, W. F. Bayne, F. C. Eagle, C. H. Muffin, J. F. Shattuck, G. B. Carver, W. B. Hun, J. G. Phillips, H. B. Stephens, H. P. Boynton, J. L. Evans, H. S. Numsen, J. N. Strobbar, V. S. Converse, H. A. Buckler, H. Guenther, A. F. Oldham, G. C. Super, J. M. Cassidy, H. F. Hackett, H. A. Riley, Win. G. XVallis, L. G. Elementary Theory of Functions: Dr. COHEN. Monday and Cloud, J. H. Hill, F. C. Schapiro, S. H. Thursday, 11 a. in., Room 26. (12). Anderson, W. M. Hoxton, L. G. Porter, J. T. Springsteen,H.W. Astronomy: Dr. PARSONS. Friday, 11 a. in., Room 34. (5). Carver, W. B. MaeDonald, XV. F. Reynolds, XV. F. Stephens, H. P. Cloud, J. H. Drenford, G. Louis, H. C. F. Porter, J. V. Grove, C. C. Melville, C. E. Smith, L. XV. Uhier, H. S. Donnelly, F. A. Differential Equations: (Undergraducae Elective): Dr. COHEN. Experimental Physics for Medical Students: Professor Monday, 9 a. in.,. Tuesday, 10 a. in., Room 26. (11). AMES, Dr. PARSONS, and Mr. CLOUD. Saturday, 9 a. n3.—12 in. (17). Ainmen, XV. XV. Melville, C. F. Schmeisser, F. G. Thomsen,H.J. Barker, B. Gray, F. P. Hutchins, F. H. Meloy, C. H. Cloud, J. H. Messiek, J. F. Smith, L. W. Uhler, H. S. Caulk, J. H. Gray, H. L. Iseman, L. L. Murdoch, A. G. Riston, T. S. Robinson. C. A. Springsteen, H.W. Church, F. H. Hewitt, J. H. Kelley, F. H. XVinthrop, G. J. Cross, F. S. Hunt, J. B. Lee, A. F. Wolfort, B. F. Determinants; Calculus (Special Topics); Theory of Equa- Daffy, B. N. tions: (Major Course). Professor HULBURT. Daily, except Mon. Laboratory Work: Professors AMES, WOOD, BLISS, Dr. WHITE- day, 9 a. in., Room 27. (9). HEAD, Dr. PARSONS. Daily, 9 a. in. to 5 p. in. (51). Bond, F. M. Louis, H. C. F. Numsen, J. N. Smith, L. XV. Anderson, W. M. Edmunds, C. K. Melville, C. F. Robinson, C. A. Buckler, R. Messick, J. F. Schapiro, S. H. Wallis, L. G. Barnes, J. Fiston, V. S. Merbeathaler, F. G. Sehapiro, S. H. Cloud, J. H. Bassett, II. P. Eagle, C. H. Messiek, J. F. Sebmeisser, F. G. Bayne, F. C. Evans, H. S. Mifilia, J. F. Schwatka, J. B. Analytic Geometry; Calculus: (Miner Gourse): Professor HUL- Bond, F. M. Guenther, A. F. Middlekauff,G.W. Shattuck, G. B. BURT. Monday, 9 a. in., Tuesday, 10 a. in., Wednesday, 11 a. in., Thurs- Boynton, J. L. Hackett, H. A. Moore, J. H. Smills, A. W. day, 12 in., Room 27. (21). Bradshaw, H. Hill, E. C. Nuinsen, J. N. Springsteen,H.W. Buckler, F. Hill, H. D. Oldham, G. C. Stephens, R. P. Bernstein, B. A. Evans, H. S. Moreland, E. L. Taylor, L. S. Cassidy, H. F. Hoxton, L. G. Phillips, H. B. Strobbar, V. S. Boyce, W. G. Hull, A. W. Pagon, W. W. Weakley, C. F. Cloud, J. H. Hyde, F. P. Porter, J. V. Super, J. M. Boynton, J. L. MeColgan, E. Panech, G. Williams, L. F. Donnelly, F. A. Louis, H. C. F. Reynolds, W. F. Uhier, H. S. Campbell, V. G. Mesgenthaler, E. G. Pearre, S. Wilson, J. T. Drenford, G. MacDonald, W. F. Riley, W. G. Wallis, L. G. Coony, J. P. Miller, F. M. Scally, A. H. Wood, H. A. Dulany, H. G. MeColgan, F. Dill, L. A. Solid Geometry; Trigonometry: Mr. CONVERSE. Monday, 9 a. in., Tuesday, 10 a. in., Wednesday, 11 a. in., Thursday, 12 in., Room 7, McCoy Hall. (12). Bowie, A. S. Custis, H. [I. Knight, L. Stern, C. S. (105 Students). Bell, P. S. Ehien, F. S. Mattingly, B, A. Ulman, R. L. Chemistry. Crane, A. B. Frey, V. M. Riley, W. G. Walker, I. C. Classes meet in the Chemical Laboratory, except as otherwise stated.

Carbon Compounds: (For Graduate Students): President REMSEN. Monday, Tuesday, Wednesday, 9 a. in. (27). Ballard, Z. M. Cobb, P. H. Hoffman, W. F. Taylor, L. S. Bassett, H. P. Coony, J. P. Murray, A. 0. West, A. P. Physics. (68 Students). Bradshaw, H. Doughty, H. W. Schaub, I. 0. Williams, L. F. Buttoer, W. J. Falk, K. G. Seidell, A. Winter, W. P. Classes meet in the Physical Laboratory. Carver, B. F. Getman, F. H. Straugha, M. N. Wood, H. A. Church, C. G. Graff, M. B. Strans, H. P. Yamaguchi, K.. Physical Seminary: Professor AMES. Wednesday, 5 p. in., Room Clowes, F. S. Hall, F. S. Vavean, H. deM. 23. (16). Journal Meeting: President REMSEN. Saturday, 9 a. in. (22).. Anderson, W. M. Edmunds, C. K. Hyde, F. P. Sebmeisser, F. G. Barnes, J. Elston, T. S. Middlekauff, G.W. Smith, A. W. The instructors in Chemistry and the following students: Bond, F. M. Hill, H. D. Moore, J. H. Springsteen, H.W. Bassett, H. P. Doughty, H. W. Schaub, I. 0. Taylor, L. S. Cloud, J. H. Hoxton, L. G. Porter, J. T. Uhler, H. S. Bradshaw, H. Falk, K. G. Seidell, A. West, A. P. Carver, B. F. Getman, F. H. Straugha, M. N. Williams, L. F~ Journal Meeting: Professor AMES and the other professors and Church, C. G. Grall M. B. Straus, H. P. Winter, W. P. instructors. Wednesday, 11 a. in., Room 24. (16). Clowes, F. S. Hall, E. S. Vavean, H. deM. Yamaguchi, K. Anderson, W. M. Edmunds, C. K. Hyde, F. P. Schineisser, F. G. Cooay, J. P. Murray,A. G. Barnes, J. Flston, V. S. Middlekauft, G.W. Smith, A. W. Inorganic Chemistry: (For Graduate Students): Professor MORSE. Bond, F. M. Hill, H. D. Moore, J. H. Springsteen, H.W. Cloud, J. H. Hoxton, L. G. Porter, J. T. Tihier, H. S. Thursday and Friday, 9 a. in. (27). Ballard, Z. M. Cobb, H. H. Hoffman, W. F. Taylor, L. S. Electricity and Magnetism: Professor AMES. Daily, except Bassett, H. P. Coony, J. P. Murray, A. G. West, A. P. Monday, 9 a. in., Room 24. (16). Bradahaw, H. Doughty, H. W. Schaub, I. 0. Williams, L. F. Entiner, XV. J. Falk, K. G. Seidell, A. Winter, W. P. Anderson, W. M. Flston V S Middlekauff,G.W. Schineisser, E. G. Carver, B. F. Getman, F. H. Straugha, M. N. Wood, H. A. Barnes, J. Hill, It. D. Moore, J. H. Smith, A. W. Church, C. G. Graff, M. B. Straus, H. P. Yamaguchi, K. Cloud, J. H. Hoxton, L. G. Porter, J. V. Springsteen, H.W. Clowes, F. S. Hall, F. S. Vavean, F. deM. Edmunds, C. K. Hyde, F. P. Reynolds, W. F. Uhier, H. S. !L’heoryof Heat: Professor R. W. WooD. Tuesday, Thursday, and Physical Chemistry: Associate Professor H. C. JoNES. Wednes- day, Thursday, Friday, 10 a. in. (16). Friday, 12 in., Room 24. (11). Anderson, W. M. Coony, J. P. Hill, H. B. Springsteen,H.W. Anderson, W. M. Edmunds, C. K. Middlekauft, G.W. Smith, A. W. Bond, F. M. Flston, V. S. Murray, A. G. Straugho, M. N. Barnes, J. Flston, V. S. Moore, J. H. Uhier, H. S. Church, C. G. Getman, F. H. Schineisser, F. G. Uhler, H. S. Cloud, J. H. Hill, H. U. Porter, J. T. Clowes, F. S. Graff, M. B. Smith, L. W. West, A. P. JOHNS IIOPKINS 12 [No. 160.

Inorganic Chemistry: (Major Course): Dr. GILPIN. Daily, Biological Sciences. (116 Students). except Monday, 9 a. m. (22). Classes meet in the Biological Laboratory, except as otherwise stated. Austrian, C. H. Engle, C. R. LeCron, W. L. Randall, A. Branch, J. II. B. Evans, H. S. Marshall, C. A. Schwatka, J. B. Advanced Zoology: Professor BROOKS. Tuesday and Wednesday, Brauham, H. G. Fnerbringer, R.0. Maynard, T. P. Strobbar, T. S. Cator, B. F. Hawkins, J. C. L. Opie, R. S. Tough, L. M. 11 a. in. (8). Dettelbach, P. Hoffman, F. J. Porter, F. G. Wayson, N. E. XV. Cowles, H. P. Glaser, 0. C. McGlone, B. Shreve, F. Dochez, A. II. V. Kohin, W. W. Derickson, S. H. Gudger, F. W. Rittenhouse, S. Tennent, D. H. General Chemistry: (Minor Course): Professor RENO1JF and Dr. Zoological Seminary: Professor BROOKS. Thursday, 11 a. in. (9). WATERS. Daily, except Monday, Hopkins Hall, 9 a. m. (47). Cowles, H. P. Grave, C. McGlone, B. Shreve, F. Derickson, S. H. Gudger, F. ‘XV. Hittenhouse S Adelsciorf, L. Erlanger, S. C. Miller, F. Mi. Scally, A. H. Glaser, 0. C. , . Tennent~ D. H. Ammen, W. W. Geiger, A. L. Moreland, F. L. Skilling, XV. K. Baetjer, XV. A. Hackett, H. A. Morse, H. V. Stewart, S. L. Zoological and Botanical Journal Club: Professor BROOKS, Baldauf, A. N. Hull, A. ‘XV. Mubly, H. F. Tootle, H. K. Associate Professors ANDREWS and JOHNSON. Friday, 11 a. in. (11). Bass, J. A. Humrichouse, H. H. Neal, C. A. Walker, I. C. Bennett, J. L. Jacobs, L. M. Oldham, G. C. Weakicy, C. E. Barton, B. W. Glaser, 0. C. McGlone, B. Shreve, F. Bernstein, B. A. Jurney, W. H. Pagon, R. C. Williams, F. B. V. Cowles, H. P. Grave, C. Metcalf, IXI. M. Tennent, D. H. Boyce, XV. G. Knight, L. Pagon, W. W. Willis, L. M. R. Derickson, S. H. Gudger, F. W. Rittenhouse, S. Boynton, J. L. Kobn, 1. H. Pearre, S. Woltereck, G. H. Chambers, T. H. Licking, F. Robinson, C. A. Wooden, L. Zoology: (Biology Major): Professor BROOKS. Daily, except Mon- Dill, L. A. Mergeutbaler, E. G. Rosenfeld, M. Yearley, A. day, 9 a. in.; Monday and Tuesday, 2—5 p. in. (4). Dulany, H. G. Muffin, J. E. Rosenbeim, G. B. Custis, J. B. G. Derickeon, S. H. Hill, F. C. Smilh, J. F. Laboratory Work: President REMS EN, Professor MORSE, Professor Zoology: (UndergraduateElective): Dr. GRAVE. Monday, 2—4 p. in. (?). RENOUF, Associate Professor JONES, Dr. GILPIN, Dr. WATERS, Dr. Addison, J. A. Pagon, H. C. Parsons, ‘XV. F. FRAZER. Daily, 9 a. m. to 5 p. m. (96). Physiological 5fournal Club: Professor HOWELL. Thursday, Adelsdorf, L. Dill, L. A. Kohn, W. XV. Schwatka, J. B. Ammen, W. W. Dochez, A. R. V. LeCron, ‘XV. L. Seidell, A. 8 p. in., Physiological Laboratory. (7). Austrian, C. R. Doughty, H. XV. Licking, H. Skilling, ‘XV. K. Dawson, P. M. Guenther, A. F. Hooker, D. H. Martin, F. G. Baetjer, XV. A. Daffy, H. N. Marshall, C. A. Stewart, S. L. Erlanger, J. Higgins, H. P. Loevenhart, A. S. Baldauf, A. N. Dulany, R. G. Maynard, F. P. Straugha, M. N. Ballard, Z. M. Engle, C. H. Mergenthaler, E. G. Straus, H. P. Physiology of Respiration, Central Nervous System, and Bass, J. A. Erlanger, S. C. Muffin, J. E. Strobbar, F. S. Bassett, H. P. the Special Senses: Professor HOWELL, Dr. DAWSON, Dr. Evans, H. S. Miller, F. M. Tavean, H. deli. ERLANGER. Daily, except Monday,—lecture, 9 a. as., laboratory work, Bennett, J. L. Falk, K. G. Moreland, E. L. Taylor, L. S. Bernstein, B. A. Fuerbringer, R. 0. Morse, H. V. Tootle, H. K. lOa.ns.tolp.m. (69). Boyce, W. G. Geiger, A. L. Muhly, H. E. Tough, L. M. PHILOSOPHICAL STUDENTS. Boynton, J. L. Getman, F. H. Murray, A. G. Walker, I. C. Bradshaw, H. Graft, M. B. Neal, C. A. Wayson, N. E. W. Brown, F. H. Kendall, A. I. Branch, J. R. B. Hackett, H. A. Gidham, G. C. Weakley, C. F. SEcoND YEAR MEDIcAL STUDENTS. Branham, H. G. Hall, E. S. Opie, H. S. West, A. P. Bnttner, W. J. Hawkins, J. C. L.. Abercrombie, H. F. Fans, C. H. Leopold, F. J. Ross, H. J. Pagon, R. C. Williams, F. H. V. Baer, C. A. Ford, F. H. Marine, D. Schloss, 0. H. Carver, B. F. Hoffman, E. J. Pagon, ‘XV. W. Williams, L. F. Cator, B. F. Hoffman, W. E. Pearre, S. ‘XVillis, L. H. H. Baldaug L. K. Free,nan, A. W. Martelle, H. A. Slocuin, H. B. Chambers, T. R. Hull, A. XV. Porter, F. G. Winter, ‘XV. P. Ballon, A. H. Gilman, P. K. lXIcDonald, A. L. Smead, L. F. Church, C. G. Beeson, ‘XI. A. Grier, S. H. Mehard, W. H. Stone, C. W. Humrichouse, H. H. Robinson, C. A. Woltereck, G. H. Berubeiin, B. H. Hale, F. Meyer, A. W. Clowes, E. S. Jacobs, L. M. Rosenfeld, H. Wood, H. A. Towles, C. B. Cobh, R. H. Jurney, NV. H. Constantine, K.W. Hall, F. J. Moss, W. L. Tuttle, L. Rosenheim, G. B. Wooden, L. Cowles, C. D. Haller, J. F. Coony J P Knight, L. Scally, A. H. Yamaguchi, K. Mumford, F. B. VanderHoof, D. DettelbacliP. Koba, I. H. Schaub, I. 0. Yearley, A. Cutter, ‘XV. D. Hempstead, H. Paullin, J. E. Van Voast, H. A. Danforth, H. S. Hepburn, N. F. Post, A. L. Ward, F. H. P. Dascombe, 0. L. Biggins, F. P. Rebberger, G. F. ‘XVhipple, G. H. Davenport, H. I. Hill, P. 5. Rhea, L. J. Wiel, H. I. Davidson, H. J. Hooker, D. H. Richardson, F. H. Wiun, N. L. Davis, A. W. Houghton F Ricksher, C. Wright, F. H. Geology. (24 Students). Dodds, S. A. Houghton, H. S. Riudlaub, M. P. Young, F. L. Dowinan, C. F. Lankford, H. H. Hisher, F. 0. Youtz, H. L. Classes meet in the Geological Laboratory. Fyster, J. A. F. Lawson, G. B. Robinson, F. H. Journal Club: Professors CLARK and REID. Thursday, 10 a. m. Botany: (Morphology of Plants): Associate Professor JOHNSON. Mon- (12). day and Tuesday, 12 as. and 2.-S p. as. (3). Bibbins A. Johannsen, A. Mathews, F. B. Swsrtz, C. K. Gudger, F. ‘XV. McGlone, B. Shreve, F. Eveland, A. J. Lee, ‘XV. T. Miller, B. L. Shattuck, G. B. Fassig, 0. L. Martin, G. C. Rutledge, J. J. Twitchell, M. ‘XV. General Biology: (Minor Course): Associate Professor ANDREWS. Daily, except Tuesday, 10 a. as.; Thursday and Friday, 2—5 p. as. (33). Economic Geology: Professor CLARK. Tuesday, 10 a. m. (6). Adler, S. H. Fnerbringer, R. 0. ‘XIatthai, ‘XV. H. Snowden, W. Baetjer, H. N. Glocker, F. NV. Nelson, J. M. Strayer, G. D. Eveland, A. J. Lee, W. T. Bamberger, F. S. Gudger, F. ‘XV. Parsons, ‘XV. F. Straus, P. R. Jobaunsen, A. Miller, B. L. Rutledge, J. J. Twitchell, M. ‘XV. Blauck, F. C. Haughton, J. A. Pessagno, F. L. Stnbenraucb,C.H. Brancb, J. R. B. Haalehurst, F. Plaggeineyer, H.NV. Toins, K. S. Paleontology: (Laboratory): Professor CLARK and Dr. MARTIN. Bryan, J. ‘XV. Hildt, J. C. Randall, A. Treide, H. F. Daily, 9 a. m. to 5 p. m. (5). Denickson, S. H. LeCron, ‘XV. L. Sandrock, F. P. NVarner, H. A. Dettelbach, P. Marshall, C. A. Schaub, I. 0. ‘XVinternitz, H. C. Eveland, A. J. Lee, NV. T. Rutledge, J. J. Twitchell, iXI. ‘XV. Dochcz, A. H. V. Jobaunsen, A. lXIiller, B. L. Swartz, C. K. Laboratory Work: Professors BROOKS and HOWELL, Associate Exploratory Surveying: Professor REID. Monday and Wednes- Professors ANDREWS and JOHNSON, Dr. DAWSON, Dr. GRAVE, Dr. day, 10 a. m. (6). ERLANGER. Daily, 9 a. as. to 5 p. as., Biological and Physiological Eveland, A. J. Lee, W. F. Rutledge, J. J. Twitchell, H. W. Laboratories. (115). Johanusen, A. lXIiller, B. L. Swartz, C. K. Abercrombie, H. F. Fyster, J. A. F. Leopold, F. J. Sandrock, F. P. Petrography: Associate Professor MATHEWS. Monday, Tuesday, Addison, J. A. Fans, C. ‘XI. liarine, D. Schaub, I. 0. Adler, S. H. Ford, F. H. ‘XIarshall, C. A. Schloss, 0. H. Wednesday, 11 a. in.; laboratory work, 9 a. m.—5 p. m. (11). Baer, C. A. Freeman, A. W. Martelle, H. A. Shreve, F. Bibbins, A. Hoffman, W. F. Miller, B. L. Twitchell, ‘XI. ‘XV. Baetjer, H. N. Fuerbringer, H. 0. Martin, F. G. Slocum, H. B. Cobb, P. H. Johanosen, A. Rutledge, J. J. West, A. P. Baldauf, L. K. Gilman, P. K. Matthai, W. H. Smead, L. F. Eveland, A. J. Lee, XV. T. Swartz, C. K. Ballon, A. ‘XI. Glaser, 0. C. McDonald, A. L. Smith, .1. F. Bainbergcr, F. S. Glocker, F. W. McGlone, B. Snowden, W. Beeson, H. A. Gnier, S. ‘XI. Hehard, W. H. Stone, C. W. Mineralogy: (Major Geology): Associate Professor MATHEWS. Beruheim, B. H. Gudger, F. W. Meyer, A. W. Strayer, G. D. Daily, except Friday, 12 in.; laboratory work, Monday and Tuesday, Blauck, F. C. Guenther, A. F. Iloss, W. L. Strans, P. H. 2—5 p. in. (8). Branch, J. F. B. Hale, F. Mumford, F. B. Stubenrauch, C. H. Brown, F. R. Hall, F. J. Nelson, J. H. Fennent, D. H. Ballard, Z. M. Eveland, A. J. Seidell, A. Straus, H. P. Bryan, J. W. Hailer, J. F. Pagon, R. C. Toins, K. S. Buttner, ‘XV. J. Lee, W. F. Swartz, C. K. Townsend, G. W. ConstantineK. W. Haughton, J. A. Parsons, W. F. Towles, C. B. Doughty, H. W. Cowles, C. D. Haslehuret, F. Paullin, J. E. Treide, H. F. Cowles, H. P. Hempstead, H. Pessagno, F. L. Tuttle, L. Meteorology: Dr. FASSIG. Thursday, 11 a. in. (3). Custis, J. B. G. Hepbnrn, N. F. Plaggeineyer, A. W. VanderHoof, D. Cutter, W. D. Higgins, F. P. Post, A. L. Van Voast, H. A. Lee, W. F. Riley, W. G. Twitchell, M. W. Danforth, H. S. Hildr, J. C. Randall, A. Ward, F. H. P. Dascombe, 0. L. Hill, F. C. Rebberger, G. F. Warner, H. A. General Geology: Dr. SHATTUCK. Daily, except Friday, 1 p. in. Davenport, H. I. Hill, P. S. Rhea, L. J. NVhipple, G. H. (7). Davidson, H. J. Hooker, D. H. Richardson, F. H. Wiel, H. L Davis, A. W. Houghton, F. Hicksher, C. Winn, N. L. Bamberger, E. S. Randall, A. Swartz, C. K. Yamaguchi, K. Denickson, S. H. Houghton, H. S. Rindlaub, H. P. Winternitz, M. C Nelsoa, J. H. Riley, C. W. Winternitz,H. C. Dettelbach, P. Kendall, A. I. Risher, F. 0. Wright, F. H. Dochez, A. H. V. Lankford, H. H. Rittenhouse, S. Young, F. L. Dodds, S. A. Lawson, G. B. Robinson, F. H. Youtz, H. L Dowman, C. F. Le Cron, W. L. Ross, H. J. DECEMBER, 1902.] UNIVERSITY 011WULAI?S. 13

Greek. (32 Students). Latin Readings: (Advanced): Associate Professor WILSON. Wed- nesday, 9 a. us., Room 15. (17). Classes meet in McCoy Hall. Barret, IL. C. Dodge, A. Leutner, W. G. Oliphant, S. G. Greek Seminary: Aristophaaes: Professor GJLDERSLEEYE. Monday Bixier, E. C. Edwards, P. H. Light, G. H. Schell, 1. 0. Blackwell, I. H. Elderkin, G. XV, Holl, XV. IL. Shear, T. IL. and Wednesday, 10 a. in., Room 14. (14). Canter, H. V. B art 131 131 13lood, J. H. Wise, B. A. Berg, G. 0. Hart, M M. Oliphant, S. G. Hichardeon, B. XV. Crnmley, J. J. Bixier, E. C. Johnson, H H. Hainsay, H. L. Schell, 1. 0. Dodge, A. Leotner, W. G. Haney, L. Shear, T. L. Petronius: (Undergraduate Elective): Associate Professor WILSON. Elderkin, G. W. Moll, W. L. Tuesday, 1 p. in., Thursday, 12 us., j~1oom 15. (4). History of Greek Gomedy: Professor (}ILBERSLEEVE. Thurs Ammen, H. XV. Heudry, 131. XV. 13lnrkland, H. U. William s,F.B.V. day, 10 a. in., Room 14. (18). Barret, L. C. Elderkin, G. W. Mood, J. H. Hichardeon, B. XV. Juvenal; Pliny’s Letters: (Major Course): Associate Professor Win- Berg, G. 0. Hart, H. H. Oliphant, S. G. Schell, I. 0. SON. Tuesday, Thursday, Friday, 9 a. us., Room 16. (3). Bixier, B. C. Johnson, H. H. Hamsay, H. L. Seiple, W. G. Dodge, A. Lentner, XV. G. Haney, L. Shear, T. L. Crozier, XV. E. Eleald, H. B. Saylor, C. H. Edwards, P. II. Hell, XV. L. Roman Literature: (Latin Minor): Professor SMITH. Tuesday, Practical Exercises: Professor GILDERSLEEVE. Tuesday and Fri- 9 a. us., Room 11. (21). day, 10 a. in., Room 14. (16). Banghart, B. T. Cremen, J. F. Goodenow, H. K. Owings, F. Barret, L. C. Elderkin, G. XV. Holl, XV. L. Haney, L. Bell, P. 5. Cnrlander, J. Griswold, H. Pitcher, N. P. Berg, G. 0. Hart, H. IXI. lXIood, J. H. Richardson, B. W. Bowie, A. S. Hiseman, H. B. Hodgins, XV. H. Stone, C. IL. Bixler, 133. C. Johnson, H. H. Oliphant, S. G. Sehell, I. 0. Cameron, J. Emig, J. XV. Jackson, H. N. Stranghn, XV. H. Dodge, A. Lentner, W. G. Hainsay, H. L. Shear, T. L. Cisism, If. V. Goldman, IL. B. Kinnane, J. J. XVroth, IL. C. Cohen, S. B. Aristophanes: Associate Professor MILLER Tuesday and Thursday, iDr. GUERNSEY. 9 a. in., Room 15. (13). Livy: (]Jliaor Course): Wednesday, Thursday, Fri- day, 9 a. us., Room 12. (27). Berg, G. 0. Hart, H. H. iXioll, XV. L. Hichardeon, D. 131. Bixier, E. C. Johnson, B. H. Oliphant, S. G. Schell, I. 0. Banghart, B. T. Cremen, J. F. Hndgins, XV. H. Pitcher, N. P. Dodge, A. Lentner, XV. G. Haney, L. Shear, V. IL. Bell, P. 5. Cnrlander, J. Jackson, J. IL. Stone, C. IL. Elderkin, G. W. Bowie, A. S. Elseman, H. B. Jackso,s, 11. IN. Stranghn, XV. It. Cameron, J. Emnig, J. XV. Kinnane, J. J. Super, J. 131. Lucian, Vesa Historic: (Undergraduate Elective): Associate Professor Camphell, F. G. Goldman, IL. H. 13lnrkland, S. XV. XVroth, IL. C. SPIEKEE. Monday and Wednesday, 10 a. us., Roons 10. (5). Chism, H. T. Goodenow, H. Owings, T. Zeiglsr, H. B. Cohen, S. B. Griowold, H. Pansch, G. Clarke, A. I-I. Meeks, B. W. Horkiand, W. U. Williams, F. B. V. Hendry, H. XV. Saliust, Chtiline; Gicero, De Amicitia; Prose (i’omposition: Plato, P/suede: (Major Course): Associate Professor SPIEKEE. Mon- Dr. GUERNSEY. Wednesday, Thursday, Friday, 10 a. as., Room 8. day, Tuesday, Wednesday, 12 in., Room 10. (3). (9). Heald, H. B. Nicholson, H. J. Saylor, C. H. Crane, A. B. Ehien, F. S. 13lattingly, B. A. Stern, C. S. Costis, H. H. Frey, V. 131. Skihling, XV. K. Ulman, H. IL. .Xenophon, Oeconomicus: (Minsi~ Course): Associate Professor SPIEKER. Dill, IL. A. Tuesday, Wednesday, Thursday, 1 p. in., Room 10. (3). Crenien, J. F. Mnrkland, S. XV. Zeigler, H. B. Prose Composition: Major Course: Dr. GUERNSEY. Thursday, 12 us., Room 10. (3). Prose Cornposition: Associate Professor SPIEKER. Crozier, XV. H. Heald, H, B. Saylor, C. H. (Major Course): Friday, 12 in., Room 10. (3). Heald, H. B. Nicholson, H. J. Saylor, C. H. Minor Course: Dr. GUERNSEY. Tuesday, 9 a. us., Room 12. (6). (Minor Course): Monday, I p. in. Camphell, T. G. 13lnrkland, S. XV. Super, J. 131. Zeigler, H. B. Crenien, J. F. Horkiand, S. XV. Zeigler, H. B. Jackson, J. IL. Panach, G. Homer; Herodotus; Prose Composition: Associate Professor MILLER. Monday, 10 a. us., Wednesday, 3 p. us., Friday, 1 p. in., Room 8. (3). Sanskrit and Comparative Philology. (36 Students). Addison, J. A. Castis, H. If, Jackson, J. L. Classes meet in Room 19, McCoy Hall. Vedic Seminary: The Rig- Vedcc: Professor BLOO13IFIELD. Thurs- day, 12 us. (7). Latin. (62 Students). Barret, IL. C. Drenford, G. Hood, J. H. Honlston, H. B. Classes meet in McCoy Hall. Blake, F. H. Fowler, F. H. Ness, J. A. Latin Seminary: Professor SMITH. Tuesday and Friday, 11 a. in., PJIi: (Reaelissgs from Buddhist Literoture): Professor BLOOMFIELD. Room 15. (17). Friday,4p.m. (3). Barret, L. C. Dodge, A. Lentoer, XV. G. Oliphant S G Barret, IL. C. Drenford, G. Ness, J. A. Bixier, E. C. Edwards, P. H. Light, G. H. Schell, I. 0. Blackwell, I. H. Elderkin, G. W. 131o11, XV. L. Shear, B. IL. Beginners’ Sanskrit: (Whitney’s Cs’asnmar and readings from the Canter, H. V. hart, H. 131. 13lood, J. H. Wise, B. A. Nala): Professor BLOO13IFIELB. Tuesday, 4 p. in., Friday, 12 us. (6). Cremley, J. J. Elderkin, G. XV. Holl, H. IL. Hichardeon, DXV. Shear, F. IL. Roman Comedy: Professor SMITH. Monday, 11 a. in., Room 15. (19). Hart, H. H. Oliphant, S. G. Advanced Sanskrit: (Hitopadeca and Afanu): Mr. BARIcET. Mon- Barret, L. C. Dodge, A. Lentner, W. G. Haney, IL. Bixier, E. C. Edwards, P. H. Light, G. H. Schell, I. 0. day and Wednesday, 12 us. (3). Blackwell, I. H. Elderkin, G. XV. Holl, XV. L. Shear, T. IL. Dod~e, A. Holiander, IL. 131. Leutner, XV. G. Canter, H. V. Goerasey, B. Hood, J. H. Wise, B. A. Crumley, J. J. Hart, iXI. 131. Oliphant, S. G. Linguistic Science: (The Issdo-European Peoples): Professor BLoo13~- Selected Topics connected with the history of the Roman FIELD. Monday, 4 p. us. (17). Stafje: Professor SMITH. Wednesday, 11 a. us., Room 15. (19). Berg G. 0. Hendry, 131. XV. 13lnrkland, H. U. Houth, 13. H. Barret, L. C. Cromley, J. J. Hart, H. H. Haney, L. Bnrr~w, N. F. 13leeks, B. XV. Nicholson, 11. J. Sanderlin, G. B. Berg, G. 0. Dodge, A. Lentsser, XV. G. Schell, I. 0. Dodge, A. 13lcPherson, W. B. Oliphant, S. G. Shear, F. IL. Bixier, E. C. Edwards, P. H. iXioll, XV. L. Shear, V. L. Easter, B. B. 131o11, XV. IL. Hichardson, B. XV. Smull, 131. N. Blackwell, I. II. Elderkin, G. W. Hood, J. B.. Wise, B. A. Elderkin, G. W. Canter, H. V. Gnernsey, H. Oliphant, S. G. Gomparative Grammar: (The History of the Eteropean Gonso- Journal Club: (Lotiss aad Greek): Professor 51311TH. Alternate nesnts): Professor BLOOMFIELD. Wednesday, 4 p. us. (26). Fridays, 9 a. us., Rooin 15. (20). l33arret, IL. C. Drenford, G. Lentner, XV. G. Hamsay, H. IL. Blackwell, I. H. Edwards, P. H. 131o11, XV. IL. Hichardson, B.W. Barret, L. C. Cremley, J. J. Lentner, XV. G. Hacusay, H. IL. Berg, G. 0. Elderkin, G. H. 13lood, J. H. Honiston, H. B. Berg, G. 0. Dodge, A. Light, G. I-I. Hichardeon, D.W. Bixier, H. C. Fowler, F. If. Ness, J. A. Honth, J. H. Bixier, H. C. Edwards, P. H. Holl, W. L. Schell, 1. 0. Bond, B. XV. Hollander, IL. 131. Oliphasst, S. G. Shear, F. IL. Blackwell, 1. H. Elderkin, G. W. Hood, J. H. Shear, T. L. Bnrrow, N. F. Kern, A. A. Haney, IL. Schneider, 13. P. Canter, II. V. Hart, 131. H. Oliphani, S. G. Wise, B. A. Dodge, A. Larwill, P. H. Latin Palceography: Associate Professor WILSON. Thursday, 11 a. in., Room 15. (15). Lithuanian: Selected Reaelissgs: Dr. NEss. Monday, 4 p. us., Room 12. (3). Barret, L. C. Dodge, A. Lentner, XV. G. Schell I. 0. Berg, G. 0. Edwards, P. H. 131o11, XV. L. Shear,’T. L. Barret, IL. C. Drenford, G. Honiston, H. B. Bixier, E. C. Elderkin, G. H. 13lood, J. H. Wise, B. A. Crumley, J. J. Hart, H. 131. Oliphant, S. G. 14 JOHNS HOPKINS [INo.160.

Oriental Seminary. (41 Students). English. (159 Students). Classes meet in the Dillmann Library, Room 18, McCoy Hall. Classes meet in McCoy Hall. History of the Ancient East: Associate Professor JOHNSTON. English Seminary: (a) Chaucer; (b) Ceedmon and Cynewulf: Pro- Friday, 12 m. (8). fessor BRIGHT. Tuesday and Thursday, 3—5 p. us., Room 4. (24). Bixier, E. C. Ember, A. Knott, J. 0. Onssani, G. Dr. E. J. Becker. Derry, C. H. Kern, A. A. Roath, J. E. Clarke, A. H. Hand, J. P. MeGlone, B. Wrightson, J. 0. Dr. C. B. Brown. Fisher, J. II. Larwill, P. H. Sanderlin, C. B. Dr. L. XV. Miles. French, J. C. Miller, P. D. Schneider, J. P. Biblical Arcirneoloqy: Associate Professor JOHNSTON. Wednes- Bond, B. XV. Haley, E. P. Myers, C. A. Small, iXI. N. day, 12 m. (5). Booker, J. M. Hollander, L. XI. Painsay, P. L. Stevens, C. L. Clarke, A. H. Knott, J. 0. MeGlone, B. Wrightson, J. 0. Barrow, N. V. Johnson, P. H. Podeffer, J. D. XVise, B. A. Hand, J. P. Historical English Grammar: (Lectures and Conferences): Pro- The Literature of the Bible: Professor HAUPT and Dr. FOOTE. fessor BRiGHT. Tuesday and Thursday, 12 us., Room 12. (21). Thursday, 5 p. in. (24). Bond, B. XV. Haley, E. P. Miller, P. D. Sanderlin, C. B. Addison, J. A. Fnerbringer,R. 0. MeGlone, B. Smith, A. XV. Booker, J. XI. Hollander, L. M. Myers, C. A. Schneider, J. P. Barret, L. C. Graif, K. B. Messick, J. F. Stephens, II. P. Barrow, N. V. Johnson, P. II. Pamsay, P. L. Small, M. N. Bixier, B. C. Grove, C. C. Oliphant, S. G. Strayer, C. D. Derry, C. H. Kern, A. A. Podeffer, J. B. Steveas, C. L. Edmnnds, C. K. Hoffman, F. J. Richardson, B. XV. Wood, Ii. A. Fisher, J. H. Larwill, P. H. Poath, J. E. Wise, B. A. Elderkin, C. XV. Knott, J. 0. Enhenstein, C. A. Wrightsoa, J. 0. French, J. C. Fisher, F. C. MacDonald, XV. E. Sanderlin, G. B. Zeigler, II. B. Elementary Hebrew: Professor HAUPT and Dr. FOOTE. Wednes- Journal Meeting: Professor BRIGHT. Alternate Fridays, 3—5 p. us., day, 2—4 p. m. (7). Room 4. (24). Bixier, P. C. Knott, J. 0. Ness, J. A. Wrighison, J. 0. Dr. E. J. Becker. Berry, C. H. Kern, A. A. Poath, J. P. Heald, H. B. Meeks, B. W. Richardson, B. XV. Dr. C. D. Brown. Fisher, J. H. Larwill, P. H. Sanderlin, C. B. Dr. L. W. Miles. French, J. C. Miller, P. B. Schneider, J. P. Hebrew: (Second Yeor’s Course): Dr. BLAKE and DR. FOOTE. Wed- Bond, B. XV. Ilaley, B. P. Myers, C. A. Small, K. N. nesday, 11 n.m., Thursday, 10 a. in. (4). Booker, J. XI. Hollander, L. M. Pamasy, II. L. Stevens, C. L. Barrow, N. V. Johnson, P. II. Podeffer, J. B. XVise, P. A. Clarke, A. H. Hand, J. P. Knott, J. 0. Wrightson, J. 0, flebrew Syntax: Dr. BLAKE. Thursday, 2 p. m. (6). Anglo-Saxon: (Bright’s Anglo-Saxon Reader): (Major English): Clarke, A. H. Knott, J. 0. Seiple, XV. G. Wrighison, J. 0. Professor BRIGHT. Monday and Wednesday, 12 us., Room 8. (4). Hand, J. P. Onasani, C. Barrow, N. V. Cameron, J. Berry, C. H. Fisher, J. H. Prose Gomposition: (Hebrew, As’obic, Assyrian, Sumerian, Syriac, The Caroline Poets: Professor BROWNE. Tuesday, 11 a. in., Room Ethiopic): Professor HAUPT. Tuesday, 4—6 p. in. (11). 10. (6). Blake, F. R. Ember, A. Knott, J. 0. Seiple, XV. G. Clarke, A. H. Foote, T. C. McPherson, XV. B. XVrightson, J. 0. Booker, J. K. Haley, B. P. Miller, P. B. Stevens, C. L. Dennis, J. V. Hand, J. P. Onssani, G. Barrow, N. V. Kern, A. A. Comparative Semitic Grammar: Professor HAUPT. Monday, Browning’s Dramas: Professor BROWNE. Monday, 11 a. us., 2 p. in. (10). Room 7. (15). Clarke, A. H. Foote, V. C. McPherson, XV. B. Seiple, XV. G. Brenford, G. Hand, J. P. Onsasni, G. Wrightson, J. 0. Booker, J. M. Hand, J. P. Miller, P. B. Schneider, J. P. Ember, A. Rnott, J. 0. Barrow, N. V. Hollander, L. XI. Myers, C. A. Small, K. N. Crane, P. V. Kern, A. A. Podeffer, J. B. Stevens, C. L. Old Testament Seminary: (Critical Interpretation of the Messionic Fisher, F. C, Larwill, P. H. Poath, J. E. Professor in. Psalms): HAUPT. Tuesday, 2—4 p. (14). Elizabethan Literature; Early Scottish Poets: (Major Blake, F. R. Gnttmacher, A. Moll, XV. L. Schell, I. 0. Clarke, A. II. Hand, J. P. Oussani, G. Seiple, XV. G. English): Professor BROWNE. Tuesday and Friday, 12 us., Room 8. Ember, A. Knott, J. 0. Rosenaa, XV. XVrightson, J. 0. (6). Foote, V. C. McPherson,XV. B. Bamberger, E. S. Hill, P. C. Xlarshall, C. A. Nelson, J. M. Biblical Aramaic: (I’nterpsetation of the Aramaic Portions of the Book Cameron, J. Hopper, S. C. of Ezra): Dr. BLAKE. Thursday, 3 p. m. (2). Early English Texts; English Literature: (Minor English): Clarke, A. H. Seiple, XV. G. Professor BROWNE. Daily, except Friday, 1 p. us., Room 6. (24). S~jriac: (Roediger’s Chrestomathy) : Associate Professor JOHNSTON. Addison, J. A. Foster, C. A. Xlatthai, W. H. Voms, K. S. Tuesday, 9 a. in. (2). Baetjer, H. N. Hodhsan, P. C. Pagan, ii. C. Toagh, L. XI. Ember, A. Seiple, XV. G. Bevan, XV. F. Hanley, W. XI. Plaggemeyer,H.W. Townsend C. XV. Blanck, F. C. Jackson, P. N. Snowden, XV. Treide, H.’ E. Elementary Arabic: Dr. BLAKE. Monday, 12 m. (4). Branch, J. P. B. Jones, A. B. Strans, P. P. Warner, H. A. Falk, K. C. Lanier, P. 5. Saper, J. XI. Yearley, A. Clarke, A. H. Knott, J. 0. Seiple, XV. C. Wrightson, J. 0. Selections from Arabic Historians: Associate Professor English Literature: (UndergraduateElective): Professor GREENE. JOHNSTON. Tuesday, 10 a. in. (1). Tuesday and Thursday, 9 a. us., Room 9, McCoy Hall. (7). Ember, A. Addison, J. A. Haaghton, J. A. Nicholson, P. J. Strayer, C. B. Adler. S. H. Hanley, W. XI. Riley, C. W. Selections from the Koran: Mr. OuSSANI. Monday, 9 a. in. (1). Ember, A. English Literature: (Second Year’s Course): Professor GREENE. Arabic Conversation: Mr. OusSANI. Monday, 10 a. in. (3). Monday, 9 a. us., Tuesday, 10 a. us., Wednesday, 11 a. us., Room 11. Blake, F. P. Drenford, C. Jones, A. D. (41). Anstrian, C. P. Foster, C. A. Lloyd, H. L. Posenfeld, XI. 1=thiopic:Dr. BLAKE. Thursday, 10 a. in. (1). Baetjer, H. N. Faerbringer, P. 0. Loais, H. C. P. Posenheim, C. B. Onssani, C. Bennett, J. L. Geiger, A. L. Maynard, V. P. Saylor, C. H. Branham, H. C. Hawkins, J. C. L. XIcClone, J. Schapiro, S. B. Assyrian: (Second Year’s t3’ourse): Associate Professor JOHNSTON. Backler, P. Heald, H. B. Miller, H. C. Schwatka, J. B. Tuesday and Friday, 11 a. in. (3). Cator, B. F. Jones, C. L. XIahly, H. P. Stollenwerek, F. Crozier, XV. P. Koha, I. H. Neal, C. A. Strobbar, V. S. Clarke, A. H. Ember, A. Seiple, XV. C. Bettelbach, P. Koha, XV. W. Nameen, J. N. Wallis, L. C. Dalany, P. C. LeCron, XV. L. Opie, P. 5. XVaysoa, N. B. W Babylonian .Yimrod Epic: Professor HAUPT. Monday, 3 p. in. Emig, J. XV. Licking, P. 5. Porter, F. C. Willis, L. XI. P. (6). Erlanger, S. C. Blake, F. P. Foote, T. C. Onssani, C. Seiple, XV. C. Rhetoric and English Composition: Professor GREENE and Ember, A. McPherson, XV. B. Mr. FRENCH. Monday, Tuesday, Wednesday, 12 in., Room 11. (60). Sumerian: Professor HAUPT. Monday, 4 p. in. (4). Bangbart, B. V. Castis, H. H. Jarney, W. H. Scally, A. H. Blake, F. R. Ember, A. Foote, T. C. Seiple, XV. C. Bass, J. A. Eblen, F. S. Kinnane, J. J. Skilling, W. K. Bell, P. 5. Biseman, XV. B. Mattingly, B. A. Stern, C. S. Old Egyptian: Associate Professor JOHNSTON. Friday, 10 a. in. (1). Bernstein, B. A. Frey, B. XI. XlcColgan, P. Stewart, S. L. Bowie, A. S. Goldman, L. P. Xlergenthaler, B. C. Stone, C. L. Dennis, J. V. Boyce, XV. C. Coodenow, P. K. Muffin, J. P. Straagl~n, XV. P. Boynton, J. L. Griswold, P. XIiller, F. XI. Saper, J. K. Hieratic: (Second Year’s Course): Associate Professor JOHNSTON. Brodie, I. B. Hackett, H. A. Moreland, P. L. Vhorp, F. Wednesday, 11 a. us. (1). Campbell, V. C. Hadgins, W. H. Xlorse, H. V. Ililman, P. L. Chambers, V. P. Hall, A. XV. Xlarkland, S. XV. XValker, I. C. Dennis, J. V. Chism, H. V. Jackson, J. L. Owings, V. Weakicy, C. P. Elementary Tag~4og: Dr. BLAKE. Friday, ~ p. us. (1). Cohen, S. B. Jackson, P. N. Pagon, W. W. Wilson, J. V. Crane, A. B. Jacobs, L. M. Panseb, C. Woltereck, C. H. Ness, J. A. Creinen, J. F. Johnson, J. XI. Pitcher, N. P. W~nth, L. C. Curlander, J. Jones, C. L. Piley, W. C. Zeigler, P. B. Tagalog: (Second Year’s Course): Dr. BLAKE. Thursday, 9 a. us. (1). Seiple, W. C. DECEMnER, 1902.J UNIVERSITY CIIWULA1?S. 15

German. (107 Students). Romance Languages. (93 Students). Classes meet in McCoy Hall. Classes meet in McCoy Hall. German Seminar?/: flistory of German Literatare in the Eighteenth Old French Seminary: Marie de France: Professor ELLIOTT. Century: Professor H. WOOD. Tuesday, Thursday, Friday, 10 a. in., Alternate Thursdays, 11 a. in.—1 p. in., Room 2. (7). Room 4. (6). Budhin, D. L. Harry, P. W. Morrison, A. J. Tiuhenstein, C, A. Fowler, T. H. Roniston, 11. B. Schrag, A. I). Stevens, G. L. Easter, D. B. Mathews, C. Ti. Peirce, W. F. Hollander, L. NI. Sanderlin, G. B. French Seminary: Litesoture (The Droma in the Eighteenth (‘en- Germanic Society: Professor H. WooD. Alternate Fridays, 4 to tus’y): Associate Professor OGDEN. Alternate Thursdays, 11 a. sn.—1 6 p. in., Room 4. (5). p. in., Room 2. (7). Fowler, T. H. Myers, C. A. Tioniston, R. B. Selirag, A. D. Buffum, D. L. Harry, P. W. Morrison, A. J. Tiuhenstein, C. A. Hollander, L. M. Easter, B. B. Mathews, C. Ti. Peirce, W. T. Lais of Marie de France: Professor ELLIOTT. Tuesday, 12 in., Gothic and the Elements of Comparative German Gram- Room 2. (8). mar: Professor H. WooD. Wednesday and Thursday, 11 a. in., Room 4. (8). Berg, G. 0. Easter, ID. B. 1\Iathews, C. Ti. Peirce, XV. T. Bond, B. W. Miller, ]L D. Ramsay, It. L. Ilouth, J. Ti. Buffum, D. L. Harry, P. W. Morrison, A. J. Tinhenstein, C. A. Larwill, P. H. Myers, C. A. Rodeffer, J. D. Schrag, A. D. French Dialects: Professor ELLIOST. Monday, 12 in., Room 2. (5). Sehiller’s Dramas: Professor H. WooD. Monday and Wednesday, Bt,ffnm, B. L. Mathews, C. Ti. Peirce, XV. T. Ruhenstein, C. A. 10 a. in., Room 4. (7). Easter, D. B. Fowler, T. H. Myers, C. A. Sanderlin, G. B. Wise, B. A. French Physiological Phonetics: Associate Professor ARM- Hollander, L. NI. Roniston, II. B. Selirag, A. D. STRONG. Monday, 9 a. in., Room 2. (10). Booker, J. NI. Hildehrandt, L.F. Tiouth, J. Ti. Stevens, G. L. Middle High German: (Introductory Gourse): Associate Professor Dennis, J. T. Kern, A. A. Suavely, G. Ti. Tucker, J. Ti. Vos. Monday, 9 a. in., Room 6; Wednesday, 12 in., Room 12. (3). Fishach, L. G. Tiamsay, R. L. Larwill, P. H. Myers, C. A. Schrag, A. D. French Syntax: Associate Professor ARMSTRONG. Wednesday and ileinrich von !‘eldeke and the Beginnings of the Middle Friday, 9 a. in., Room 2. (7). High German Court Epic: Associate Professor ‘/os. Tuesday Buffum, B. L. Easter, D. B. Mathews, C. Ti. Ruhenstein, C. A. and Friday, 9 a. in., Room 6. (4). Child, J. A. Harry, P. XV. Morrison, A. J. Fowler, T. H. Hollander, L. NI. iRoniston, R. B. Selirag, A. D. French Phonology: Associate Professor ARMSTRONG. Monday The German Novel in the Eighteenth Century: Dr. BAKER, and Wednesday, 10 a. in., Friday, 11 a. in, Room 2. (6). Friday, 3 p. in., Room 11. (2). Dennis, J. F. Hildebrandi, L.F. Snavely, G. Ti. Tucker, J. Ti. Fowler, T. H. Honiston, H. B. Fishach, L. G. Tiouth, J. Ti. Victor Hugo: Dr. OGDEN. Wednesday, 10 a. in., Room 6. (6). Major Course. Buffuin, D. L. Mathews, C. Ti. Ruhenstein, C. A. Stevens, G. L. History of German Literature: Associate Professor Vos. Easter, D. B. Peirce, XV. T. Monday; Schiller, Wallenstein: Professor H. Woon. Tuesday French Novel: Dr. OGDEN. Tuesday, 9 a. in., Room 2. (13). and Friday; Prose Composition: Professor H. WooD and Mr. Bond, B. W. Dennis, J. F. Harry, P. XV. Peirce, XV. T. HOFMANN. Thursday, 11 a. in., Room 6. (13). DuStbin, D. L. Easter, D. B. Hildehrandt. L.F. Rodefler, J. ID. Austrian, C. II. Goodenow, Ti. K. LcCr3n, W. L. Panseb, G. Burrow, N. T. Fishach, L. G. Mathews, C. Ti. Snavely, G. Ti. Bass, J. A. Hawkins, J. C. L. Licking, Ti. S. Porter, F. G. Child, J. A. Boyce, W. G. Hudgins, W. H. Moreland, E. L. Wallis, L. G. Old French Readings: (Class A): Dr. BRUSH. Thursday, 9 Crozier, XV. Ti. a. in., Room 7. (4). Minor Course A. Buffum, ID. L. Larwill, P. H. Mathews, C. Ti. Smull, NI. N. Prose Composition: Professor H. WooD. Monday; Prose Read- Old French Readings: (Class B): Associate Professor ARM- ings: Associate Professor Vos. Tuesday, Thursday, Friday, 11 STRONG. Wednesday, 3 p. in., Room 2. (10). a. in.,Room 11. (30). Booker, J. NI. HildebrandiL. F. Sanderlin, G. B. Tticlcer, J. Ti. Bangliart, B. T. Dill, L. A. Maynard, T. P. Stern, C. S. Dessnis, J. F. Myers, C. A. Suavely, G. Ti. Wise, B. A. Bernstein, B. A. Hiseman, W. ID. Mergenthaler,E. G. Stone, C. L. Fishach, L. G. Tiouth, J. Ti. Cator, B. F. Goldman, L. Ti. Morse, H. Y. Stranglin, W. H. Chainhers, T. H. Griswold, Ti. Owings, T. TJl,nan, Ti. L. French Literature: Classic Period: Dr. BRuSir. First Monday in Chisin, H. V. Hackett, H. A. Pagon, W. W. Weakley, C. Ti. the month, 3 p. in., Room 2. (12). Cohen, S. B. ilnil, A. XV. Pitcher, N. P. Woltereck, G. H. Booker, J. Ni. Fishach, L. G. Larwill, P. II. Peirce, W. T. Creinen, J. F. Jacobs, L. NI. Scally, A. H. Wroth, L. C. Bulluin, ID. L. Harry, P. W. Mathews, C. Ti. Smull, M. N. Curlander, J. Matthai, W. H. Easter, B. B. Hildebrandi, L. F. Myers, C. A. Snavely, G. Ti. Minor Course B. Spanish Seminary: Associate Professor MARDEN. Tuesday, 11 Otis, Elementary German; Whitney’s German Grammar; Buch- a. in., Room 2. (3). heim, Elementary Prose Composition: Dr. KIJRRELMEYER. Daily, Gould, W. Ti. Hildebrandi, L. F. Peirce, IV. F. except Wednesday, 11 a. in., Room 8. (22). Old Spanish Readings: Associate Professor MARDEN. Friday, Bowie, A. S. Jurney, W. H. Miller, H. C. Wagstaff, H. NI. 12in.,Room2. (4). Decry, G. H. Kinnane, J. J. Murkiand, S. W. Walker, I. C. Tihien, F. S. Knott, J. 0. Oldham, G. C. Wilson, J. F. Fishach, L. G. Hildebrandi, L. F. Mathews, C. Ti. Suavely, G. Ti. Fisher, J. H. Mattingly, B. A. Oussani, G. Wrightson, J. 0. Heald, H. B. Muffin, J. E. Tucker, J. Ti. Zeigler, Ti. B. Spanish Historical Grammar: Associate Professor MARDEK. Jackson, J. L. Miller, F. as. Tuesday and Thursday, 10 a. us., Room 2. (2). Elective Course. Fishach, L. G. Huldebrandt, L. F. Readings in Contemporary German Literature: Wilden- Early Spanish Drama: Associate Professor MARDEN. Friday, bs’ueh, Der Letzte, Dos edle Blut, Harold; Ebner—Eschenbaeh, Freiherren 10 a. in., Room 2. (9). Buffism, B. L. Gould, W. Ti. Mathews, C. Ti. Tiuhenstein, C. A. von Gemperlein, Krambambuti. Dr. KURRELMEYRE. Monday, 9 a. in., Easter, ID. B. Hildebrandt, L. F. Peirce, W. F. Suavely, G. Ti. Room 12; Tuesday, 10 a. in., Room 10. (6). Fishach, L. G. Blanck, F. C. Hill, Ti. C. Pessagno, Ti. L. Stnbenraueh,C.H. Dante: Professor ELLIOTT. Wednesday, 12 in., Room 2. (2). Haziehursi, F. Pars ons,W.T. Harry, P. XV. Suavely, G. Ti. Supplementary Courses. Italian Seminary: Dr. SHAW. Tuesday, 10 a. in., Room 2. (2). Historical Readings: lliofmann, Biistorische Erzuihlungen; Seiler, Child, J. A. Mathews, C. Ti. Die Ileimat des’ Indogermanen: Dr. KTIRRELMEYER. Monday, 3 p. in., Italian Novel: Dr. SHAW. Saturday, 9 a. in., Room 2. (8). Thursday, 2 p. in., Room 8. (5). Bnfftsin, D. L. Easter, ID. B. Grove, C. C. Peirce, W. V. Elderkin, G, XV. Motley, J. NI. Richardson, B. W. Wright, J. M. Child, J. A. Fishach, L. G. Mathews, C. Ti. Suavely, G. Ti. Johnson, Ti. H. Popular Latin: Professor ELLIOTT. Monday, 11 a. in., Room 2. (5). Scientific Readings: Brandt and Day, German Scientific Readings: Buffum, B. L. Harry, P. W. Mathews, C. Ti. Peirce, W. T. Dr. KURRELMEFEIL. Monday and Thursday, ~ p. in., Room 8. (16). Easter, B. B. Barnes, J. Gudger, Ti. W. Oldham, G. C. Straugho, NI. N. Bassett, H. P. Haughton, H. A. Randall, A. Taylor, L. S. Provenca~: Dr. OGDEN. Monday, 9 a. in., Room 10. (6). Bradshaw, H. Knight, L. Sandrock, Ti. P. Townsend, G. W. Bnffnm, B. L. Easter, D. B. Mathews, C. Ti. Peirce, W. T. Church, C. G. Murray, A. G. Smith, J. T. Williams, L. F. Child, J. A. Harry, P. W. Oral Exercises: (For Gs’aduate Students): Mr. HOFMANN. Monday Romance Methodology: Dr. KEIDEL. Saturday, 10 a. to., Room and Friday, 11 a. in., Room 10. (4). 2. (3). Berg, G. 0. Fowler, T. H. Roniston, Ti. B. Sanderlin, G. B. Fishach, L. G. Hildebrandt,L. F. Snavely, G. Ti. 16 JOHNS HOPKINS [No. 160.

Romance Club: Professor ELLIOTT. Wednesday, 11 a. in., Room Historical Examinations: Dr. BALLAGH. Friday, 12 in., Room 2. (12). 23. (7). Buffum, B. L. Fishach, L. G. Huldebrandt, L. F. Peirce, W. T. Beuton, B. J. Eckenrode, II. J. Johnson, B. C. XVright, J. NI. Child, J. A. Gould, XV. F. Mathews, C. B. Rubenstein, C. A. Bond, B. XV. Hollis, P. Light, G. II. Easter, D. B. Harry, P. W. Morrison, A. J. Suavely, G. B. Civilization and Politics in the Far East: (Major History) French: (Major C’ourse): Dr. BRUsH. Daily, except Tuesday, 10 a. in., Dr. BALLAGH. Monday and Tuesday, 11 a. in., Room 24. (21). Room 7. (6). Bennett, J. L. Fuerhriuger, It. 0. MoGlone, J. Schapiro, S. H. Booker, J. M. Haley, P. It. Licking, It. S. Thorp, F. Buckler, It. Geiger, A. L. Muhly, H. B. Schwatka, J. B. Detteihach, P. Humrichouse, H. II. Pearre, S. Stollenwerck, F. Burrow, N. T. Hopper, S. C. Busig, J. XV. Kuhn, XV. XV. Itosenteld, IXI. Strohhar, V. S. French: (Minor Oours~, Class A): Dr. Bausn. Daily, except Tisurs- Brlauger, S. C. Lloyd, H. L. Ilosenhetmn, G. B. XVillis, L. NI. It. Fusosi, G. A. day, 12 in., Room 7. (17). Adler, S. II. Dulauy, It. G. Louis, LI. C. E. Pesrre, S. European History: (MajorHistory): Mr. BENTON. Thursday and Baetjer, W. A. Emib, J. W, Maynard, T. P. Schineisser, E. G. Friday, ii a. am, Room 24. (20). Branham, H. G. Evans, H. S. Neal, C. A. Stollenwerok, F. Bennett, J. L. Foster, G. A. McGlone, J. Schapiro, S. II. Cator, B. F. Foster, G. A. Nuinsen, J. N. Wayson, N. F. W. Buckler, TI. Geiger, A. L. Mubly, H. B. Schwatka, J. B. Detteihach, P. Kohn, I. H. Bettelhach, P. Humrichouse, II. TI. Pearre, S. Stolleuwerck, F. Bmig, J. 3~/ Kuhn, XV. XV. Rosenfeld, NI. Strohhar, V. S. French: (Minor (‘ourse, Class B): Dr. OGDEN. Daily, except Thurs- Brlanger, S. C. Lloyd, II. L. Itosenheim, G. B. XVillis, E. NI. II. day, 12 in., Room 6. (6). Hendry, M. W. Ol&ham, G. C. Riley, C. W. XVinter, W. P. Ancient History: (Minor Histosy): Dr. BALLAGH. Daily, except Tuesday, 10 a. in., Rouin 23. (23). Meeks, B. XV. Opie, It. S. Baughart, B. V. Creme’s, J. F. Hudgius, XV. H. Stewart, S. L. French: (Elective ~Jourse): Associate Professor ARMSTRONG. Tuesday, Bell, P. 5. Curlander, J. Jackson, It. N. Stone, C. L. 10 a. in., Thursday, 12 in., Room 6. (8). Bowie, A. S. Biseman, XV. B. Jurney, XV. II. Straughn, XV. It. Braiseh, J. It. B. Custis, J. B. G. Haugliton, J. A. Jackson, TI. N. Camphell, V. G. Goldman, L. B. Kinnane, J. J. IVilson, J. V. Chism, II. V. Goodessow, TI.. K. Owings, V. XVroth, L. C. Bryan, J. W. Dochez, A. TIE. Hildt, J. C. Tootle, H. K. Cohcu, S. B. Griswold, It. Pitcher, N. P. French: (Elementary Cous’se): Dr. I3ausn. Tuesday, Wednesday, European History: (History-Econoasics): Dr. STEINER. Monday Friday, 9 a. in., Room 7. (4). and Wednesday, 10 a. us., Room 24. (23). Crane, A. 13. Custis, H. H. Frey, Y. M. MeColgan, F. Austrian, C. It. Jacobs, L. XI. Olmstead, XV.. G. Smith, J. V. Bass, J. A. Louis, H. C. F. Opie, TI. S. Tough, L. NI. Spanish: (ililiinor Course): Associate Professor MARBEN. Daily, Branhain TI. G. Miller, II. C. Porter, F. G. Vowuseud, G. XV. except Monday, 9 a. in., Room 8. (12). Clsambers, V. It. Morse, TI. IT. Riley, C. XV. IVayson, N. B. XV. Bamberger, B. S. Lloyd, TI. L. Sandroek, B. P. Thorp,F. Custis, J. B. G. Neal, C. A. Robinson, C. A. XVoltereck, G. H. Blum, S. MoGlone, J. Strans, P. It. Treide, H. B. Hawkins, J. C. L. Nicholson, R. J. Saylor, C. TI. Hopper, S. C. Parsons, W. T. Stuhenranch, C.H. Warner, H. A. American Constitutional Law and History: (Major Politics): Spanish: (Elective Course): Associate Professor MARDEN. Monday, Dr. STEINER. Tuesday and Friday, 12 in., Room 24. (19). Adeladori; L. Bluin, S. Iloffman, It. C. Mower, NIcH. a. in., Thursday, 12 to., Room 8. (4). Bacijer, H. N. Boches, A. It. V. Bumaichouse, H. H. Snowden, XV. Cameron, I. Jones, A. B. Matthai, W. H. Seiple, W. G. Baldang A. N. Gloeker, V. XV. Hussley, XV. M. Tootle, H. K. Bevan, XV. F. Ilaziehurat, F. Lanier, TI. S. Yearley, A. Italian: (Minor Course): Dr. SHAW. Daily, except Monday, 9 a. in., Bird, W. S. Hildi, J. C. Miller, B. C. Room 10. (3). English 6~onstitut’ional Law and History: (Major Politics): Bryan, J. W. Lanier, It. S. Pessagno, B. L. Dr. LEE. Monday and Wednesday, 12 in., Room 24. (13). Bevan, XV. F. Iloffman, It. C. Miller, II. C. Tootle, IT. K. Italian: (Elective Course): Dr. SHAW. Thursday, 12 in., Friday, 1 Bird, XV. S. Humriclsouse, H. TI. Mower, NIcH. Williams, J. B. p. in., Room 15. (10). Boehez, A. It. V. Ilunley, XV. NI. Snowden, XV. Yearley, A. Aminen, W. XV. Grove, C. C. Shear, V. L. Winternitz, M. C. Haziehurat, F. Bird, XV. S. Hoffman, It. C. Toms, K. S. XVise, B. A. Fnerhringer, It. 0. Plaggemeyer, If. XV. Introduction to Law: Dr. LEE. Wednesday, 2 p. in., Room 24. (29). Italian Conversation: Mr. OussANI. Wednesday, ~ p. in., Room Adelsdorf, L. Brianger, S. C. Humriehouse, H. H. Nuinsen, J. N. 2. (5). Bacijer, H. N. Foster, G. A. Hunley, XV. iXI. Plaggeineyer,H.XV. Aininen, XV. XV. Pessagno, F. L. Plaggenaeyer, H. W. Suavely, G. F. Bevan, XV. F. Geiger, A. L. Kolan, XV. XV. Riley, C. XV. Bird, XV. S. Glocker, V. XV. Lanier, It. S. Rosenfeld, NI. Fishach, L. G. Cator, B. F. Haughtoss, TI. A. Lloyd, II. L. Itosenheim, G. B. Crozier, XV. F. Bendry, XI. XV. Metilone, J. Snowden, XV. Custia, J. B. G. Hofihoan, It. C. lilubly, TI. F. XVilliaina, J. B. Emig, J. XV. History and Political Science. (112 Students). Political Seminary: Associate Professor WILLOUGHBY. Alternate Fridays, ~ p. in., Room 20. (7). Classes meet in McCoy Hall. Benton, F. J. Bigga, It.. XI. Johnson, F. C. IVilliams, J. B. Historical Seminary: Associate Professor VINcENT. Friday, 10 Crane, It. V. Bugland, J. V. Moore, V. B. a. in., Room 25. (17). Introduction to Public Law: Associate Professor WILLOUGHBY. Benton, F. I. Bokenrode, H. J. Moore, T. B. Shriver, NI. 0. Monday and Tuesday, 12 us., Room 20. (17). Bledsoe, J. F. Hollis, P. Motley, J. H. XVagstalt H. NI. Beuton, F. J. Foster, F. Moore, V. B. Shriver, NI. 0. Bond, B. XV. Kirk, XV. Itauft, C. F. XVilliams, J. B. Bispham, F. H. Johusoms, F. C. Motley, J. XI. Smith, B. Bust. J. L. Light, G. IT. Sakoiski, A. M. XVright, J. NI. Crasse, TI. V. Kirk, XV. Itauft, C. F. XVagstaff H. IT. Diggs, It. NI. Bigga, It. XI. Light, ti. TI. Sakoiski, A. XI. XVilliama, J. B. Old Regime in France: Associate Professor VINCENT. Monday Fugland, J. V. and Tuesday, 10 a. in., Room 25. (17). History of Political Theories: Associate Professor WILLOUGHBY. Benton, B. J. Fokeurode, H. J. Moore, V. B. Shriver, iii. 0. Wednesday and Thursday, 12 in., Room 20. (15). Bledsoe, J. F. Hollis, P. Motley, J. NI. XVagstatl II. H. Benton, F. J. Fugland, J. V. Light, G. H. Sakolaki, A. XI. Bond, B. XV. Kirk, XV. ilauft, C. F. XVilliarus, J. D. Bispham, F. H. Foster, F. Iloore, V. B. Wagsts~ II. XI. Boat, J. L. Light, G. H. Sakolski, A. NI. XVright, J. NI. Crane, It. V. Johnson, B. C. Ilotley, J. XI. XVilliams, J. B. Diggs, It. M. Bigga, It. XI. Kirk, XV. Itauft, C. F. Central Europe: Associate Professor VINCENT. Wednesday and Thursday, 10 a. in., Room 25. (16). Benton F. J. Hollis, P. Motley, J. M. Smith, B. (72 Students). Bledsoe, J. F. Kirk, XV. Itanit, C. F. XVagstaff, H. NI. Political Economy. Bust, J. L. Light, G. H. Sakolski, A. M. XVilliams, J. B. Diggs, B. M. Moore, T. B. Shriver, NI. 0. Wright, J. NI. Classes useet in McCoy Hall. Eckenrode, H. J. Economic Seminary: Associate Professor HOLLANDER. Alternate American History: Dr. BALLAGH. Wednesday and Thursday, Tuesdays, S to 10 p. to. (14). 11 a. in., Room 23. (14). Boat, J. L. Hollis, P. Bauft, C. F. Smith, F. Crane, It. V. Kirk, XV. Sakolaki, A. XI. XVagsta~ H. NI. Benton, B. J. Bckenrode, H. J. Itsnft, C. F. XVagstaff, H. NI. XVilliams, J. D. Bi~gs, It. XI. Moore, V. B. Shriver, XI. 0. XVright, J. NI. Bispham, B. H. Hollis, P. Sakolski, A. NI. Hattori, Y. Motley, J. NI. Bost, I. L. Kirk, XV. Smith, F. XVright, J. NI. Diggs, It. NI. Light, G. H. Theory and Practice of Exchange: Associate Professor HoL- LANDER. Tuesday and Wednesday, 9 a. in., Room 24. (15). Southern History: Dr. BALLAGH. Friday, 11 a. in., Room 23. (14). Bispham, B. H. Bekesarode, TI. J. ilauft, C. F. XVs.gstatl, H. iXI. Boat, J. L. Hollis, P. Itauft, C. F. XVagataff, H. NI. Bond, B. XV. Hollis, P. Sakoiski, A. Williams, J. D. Crane, It. V. Kirk, W. Sakoiski, A. NI. IVilliams, J. B. Bust, J. L. Kirk, W. Smith, B. IFright, J. NI. Biggs, It. NI. Moore, V. B. Shriver, XI. 0. Wright, J. NI. IBggs, It. NI Light, G. H. Hattori, Y. Motley, J. NI. Smith, F. DECEMBER, 1902.] UN] VEI?SJTY C]1?CULA1? 5S~. 17

Development of Economic Thought: Associate Professor HoL- Public Speaking. (148 Students). LA~IDER. Thursday and Friday, 9 a. in., Room 24. (14). Bost, J. L. louis, P. Ranft, C. F. Smith, F. Classes meet in McCoy Hall. Crane, It. T. Kirk, W. Sakoiski, A. M. XVilliams, J. D. Diggs, B. M. Moore, F. B. Shriver, NI. 0. Wright, J. N. Hattori, Y. Motley, J. NI. Parliamentary Practice: Third Year (Senate): Dr. LEE. Alter- nate Wednesdays, 11 a. in., Donovan Room. (52). Industrial Organization in the Nineteenth Geutury: Dr. Addison, J. A. Bochez, A. It. V. Meeks, B. XV. Snowden, XV. BARNETT. Monday, 9 a. in., Room 24. (12). Adelsdorf, L. Glocker, F. XV. iXIllier, H. C. Straus, P. It. Crane, Ii. T. Moore, F. B. Sakoiski, A. I\J. Wagstaff, H. NI. Adler, S. II. Haughton, J. A. Murkiand, XV. U. Strayer, U. B. Hattori, Y. Motley, J. NI. Shriver, M. 0. Williams, I. ID. Ammen, XV. XV. Haziehurat, F. Nelson, J. NI. Stubenrauch,C.H. Kirk, XV. Ilanfi, C. F. Smith, F. Wright, J. NI. Bacijer, H. N. Heisdry, NI. XV. Nicholson, It. J. Toms, K. S. Baldauf, A. N. Hildt, J. C. Pagon, It. C. Tootle, H. K. Theory of Political Economy: (Major Economics): Associate Bamberger, F. 5, Hill, F. C. Parsons, XV. F. Townsend, U. XV. Professor HOLLANDER. Thursday, 12 in., Friday, 1 p.m., Room 21. (10). Bird; XV. S. Hoffusan, It.. C. Pessagno, F. L. Tough, L. NI. Blauck, F. C. Hopper, S. C. Plsggemeyer, H. XV. Treide, H. F. Baldauf, A. N. Hubert, F. W. Shriver, NI. 0. Strayer, G. B. Blum, S. Hunley, XV. NI. Riley, C. XV. Warner, H. A. Blum, S. Hattori, Y. Smith, F. Wagstaff, H. NI. Bryan, J. XV. I.anier, It. S. Itobjisson, C. A. XVilliams, F. It. V. Glocker, F. W. Motley, J. NI. Cameron, J. Marshall, C. A. Sandrock, F. P. Winternitz, N. C. Economic History: (Major Economics): Dr. BARNETT. Monday Custis J. B. U. Maithal, XV. H. Smith, J. F. Yearley, A. and Wednesday, 12 in., Room 21. (8). Parliamentary Law: Second Year (House of Representatives) : Dr. Adelsdorf, L. Baldauf, A. N. Glocker, T. W. Hildt, J. C. LEE. Thursday, 12 in., Donovan Room. (40). Baetjer, H. N. Blum, S. Hubert, F. XV. Strayer, G. D. Austrian, C. It. Evans, H. S. Lloyd, H. I. Rosenfeld, NI. Economic History of England: (Minor Economics): Dr. BAR- Bennett, J. L loster, U. A. Louis, H. C. F. Rosenheim, U. B. NETT. Daily, except Tuesday, 10 a. in., Room 20. (19). Branch, J. It. B. Fucibringer, It. 0. Maynard, F. P. Saylor, C. H. Branham, H. U. Geiger, A. L. iXIeGlone, J. Schapiro, S. H. Ammen, XV. W. Crozier, XV. F. Kohn, I. H. Rosenfeld, NI. Buckler, It. Hawkins, J. C. L. Mobly, H. F. S hwatka, J. B. Baetjer, XV. A. Frianger, S. C. Kohn, XV. XV. Foseuheim, G. B. Cator, B. F. Heald, H. B. Neal, C. A. Stolleuwerek, F. Bennett, J. L. Foster, G. A. Lloyd, H. L. Stolleuwerek, F. Crozier, XV. F. Huinrichouse, H. II. Numsen, J. N. Strobbar, F. S. Bevan, XV. F. Geiger, A. L. NIcCione, J. Willis, L. NI. It. Bulany, It. U. Kohn, XV. W. Opie, It. S. Wallis, L. U. Cameron, J. Huinrichouse, H. H. Muhly, H. F. Itmig, J. XV. LeCron, XV. L. Pearre, S. Wayson, N. F. XV. Political Economy: (History-Economics): Associate Professor HOL- Frianger, S. C. Licking, H. S. Porter, F. U. XVillis, L. NI. It. LANDER. Thursday and Friday, 10 a. in., Room 24. (30). Elements of Parliamentary Law: Dr. LEE and Mr. FRENCH. Addison, J. A. Jacobs, L. NI. Nicholson, B. J. Saylor, C. H. Wednesday and Friday, 1 p. in., Room 12. Austrian, C. It. Johnson, J. NI. Olmstcad, W. U. Smith, J. F. Bass, J. A. Louis, H. C. F. Opie, It. S. Tough, L. NI. Section A. (23). Brodie,I. B. Meeks, B. XV. Pearre, S. Towusend, G. XV. Chambers, F. It. Miller, H. C. Porter, F. G. XVaysou, N. F. XV. Bass, J. A. Bill, I. A. Moreland, F. L. Super, J. NI. Custis, J. B. U. Morse, H. V. Riley, C. XV. Williams, F. It. V. Bowie, A. S. Goodenow, It. K. Morse, H. V. Walker, I. C. Hawkins, J. C. L. Murklassd, XV. U. Robinson, C. A. Woltereck, G. H. Boyce, XV. U. Jackson, J. L. Osings, F. XVeakley, C. E. Hendry, NI. XV. Neal, C. A. Campbell, F. U. Jacobs, L. NI. Panech, U. Woltereck, U. H. Cohen, S. B. Jurney, XV. H. Pitcher, N. F. Wroth, L. C. Coriander, J. Miller, F. NI. Scally, A. H. Section B. (21). Philosophy. (64 Students). Banghart, B. F. Elseman, XV. B. Hull, A. XV. Skilling, XV. K. Bell, P. 5. Goldman, IL F. Jackson, It. N. Stone, C. L. Classes meet in Room 12, McCoy Hall. Bernstein, B. A. Griswold, It. Muffin, J. F. Straugho, XV. It Chism, H. F. Hackett, H. A. Murkiand, S. XV. Wilson, J. ‘P. History of Philosophy: (For Graduate Students): Professor GRIF- Cremen, J. F. Hudgins, XV. HI. Pagon, XV. XV. Edgier, It. B. FIN. Friday, 3 p. in. (11). Dettelbach, P. Bledsoe, J. F. Fisher, F. C. Miller, . D. Schell, I. 0. Elements of Public Speaking: Dr. LEE and Mr. WILLIAMS. Brooks, C. F. Glaser, 0. C. Phillips, H. B. Schrag, A. B. Crane, It. F. NIcUlone, B. Itouth,J.F. Assembly Room, McCoy Hall. Deductive and Inductive Logic: (until December 18); Psy- Monday, 1 p. in. (19). chology: (January 5 to April 1); Ethics: (after April 1): Bernstein, B. A. Goodenow, It. K. Pagon, XV. XV. Skilling, XV. K. Professor GRIFFIN. Daily, 11 a. in. Outlines of the History Campbell, F. U. Griswold, It. Mergenthaler, F. U. XVeakley, C. F. Coriander, J. Jackson, J. L. NIliler, F. NI. XVilson, J. F. of Philosophy. Weekly. (53). Fiseman, XV. B. Jackson, It. N. Moreland, F. L. XVroth, L. C. Addison, J. A. Ilochez, A. It. V. Meeks, B. XV. Snowden, XV. Goldman, IL F. Jurney, XV. H. Morse., B. V. Adelsdorl, L. Freelaud, F. B. Mower, McH. Straus, P. It. Adler, S. H. Glocker, T. XV. Murkiand, XV. U. Strayer, U. D. Tuesday, 1 p. in. (18). Aminen, XV. XV. Haughton, J. A. Nelson, J. It. Stubenranch,C. H. Bacijer, H. N. Hazlehurst, F. Nicholson, It. J. Foms, 1=1.5. Baughart, H. F. Brodie, I. B. Hudgins, XV. H. Scally, A. H. Baldaul A. N. Hendry, NI. XV. Pagon, It. C. Tootle, H. K. Bass, J. A. Chambers, F. It. Hull, A. XV. Stone, C. L. Bamberger, F. S. Hildt, J. C. Parsons, XV. F. Tough, L. NI. Bell, P. 5. Chism, H. F. Koho, I. H. Straugbn, XV. R. Bevan, XV. F. Hill, F. C. Pessagno, Fl. L. Townsend, U. XV. Bevan, XV. F. Bettelbach, P. Muffin, J. F. XValker, I. C. Bird, XV. S. Hoffman, It. C. Pla~gemeyer, LI. IV. Treide. H. F. Boynton, J. L. Frey, V. NI. Blauck, F. C. Hopper, S. C. Riley, C. XV. Warner, H. A. Blum, S. Hunley, XV. NI. Robinson, C. A. XVilliams, F. It. V. Friday, 1 p. in. (17). Bryan, J. XV. Lanier, It. S. Sandrock, F. P. XVinternitz, NI. C. Cameron, J. Marshall, C. A. Smith, J. T. Yearley, A. Boyce, XV. U. Jacobs, L. NI. Owings, F. Stewart, S. L. Custis, J. B. G. Cohen, S. B. Kinnane, J. J. Pauseb, U. Super, J. NI. Cremen, J. F. iXlurkiand, S. XV. Pitcher, N. P. Woltereck, G.H. Bill, L. A. NIcColgan, F. Riley, XV. U. Zeigler, It. B. Hackett, H. A. Drawing. (60 Students). Classes meet in the Howard Street Building, Room 18. Freehand Drawintj: Mr. WHITEMAN. Tuesday and Thursday, 2—5 p. in. (55). Bass, J. A. Dill, L. A. Mattingly, B. A. Sicilling, XV. K. STUDENTS IN THE JOHNS HOPKINS MEDICAL SCHOOL. Baughart, B. F. Ehien, F. S. NIcColgan, F. Stern, C. S. Bell, P. 5. Fiseman, iV. B. MergenthalerE. G. Stewart, S. L. Bernstein, B. A. Frey, V. NI. Muffin, J. F. Stone, C. L. CANDIDATES FOR THE DEGREE OF M. D. (258). Boynton, J. L. Goldman, L. F. Miller, F. iXI. Straughn, XV. It. Boyce, XV. U. Goodenow, It. K. Moreland, F. L. Soper, J. NI. Campbell, F. U. Griswold, It. Morse, H. V. Ulman, It. L. Fourth Year. (51). Chambers, F. It. Hackett, H. A. Murkiand, S. XV. Walker, 1. C. Chisin, H. F. Hudgins, XV. H. Owings, F. Weakicy, C. F. Bassett, V. H. Fischer, J. S. Lazenby, NI. Riggs, F. F. Cohen, S. B. Hull, A. XV. Pagon, XV. XV. XVilson, J. F. Bixier, L. C. Gaeuslen, F. J. Loevenhart, A. S. Riley, B. F. Crane, A. B. Jackson, J. L. Panech, U. Woltereck, U. H. Blauvelt, F. H. Gaines, L. NIeF. Long, H. B. Robinson, U. C. Cremen, J. F. Jacobs, L. NI. Pitcher, N. P. XVroth, L. C. Brush, C. F. Geraghty, J. F. Long, NI. Rocker, NI. P. Curlander, J. Jurney, XV. H. Riley, XV. U. Zeigler, It. B. Chatard, J. A. Goldaborough, F.C. Lupton, F. J. S. Sebmitter, F. Custis, H. H. Kinnane, J. J. Scally, A. H. Chino, U. F. Grant, J. F. Lynch, L. A. Schultz, 0. F. Clark, A. II. Haskell, L. XV. Manning, XV. S. Smith, XV. II. Special Course: Mr. WHITEMAN. Tuesday and Thursday, 2—5 Cornell, XV. B. Birschfelder, A. B. Marshall, XV. Stevens, A. It. p. in. (5). Bewey, F. U. Hopkins, It. Miller, It. F. Thompson, XV. L. Dudley. H. Hutchins, H. T. Morse, NI. F. Travis, C. H. Ammen, XV. XV. Kohn, XV. XV. Louis, H. C. F, Sebmeisser, E. U. Eddy, B. L. Jones, C. L. Moulton, XV. B. Watson, F. H. Bond, F. NI. Edwards, It. F. Jones, L. F. Neagle, H. B. Young, C. XV. Fayerweather, It. Keidel, A. Itainfortb, S. I. 18 JOHNS HOP.KINS [No. 160.

Third Year. (43). First Year. (97). Morrison, J. Adsit, H. Day, G. Iseman, L. L. Hea, R~. H. Bacon, J. H. Giffin, H. Z. F. Storrs, H. J. Kellam, XV. F. Baker, T. Greenbaum, H. S. Nelson, N. 0. Taneyhull, G. L. Ainley, F. C. Dougherty, B. 0. Hedewill, F. H. Bean, R. B. Hemenway, J. Pillow, H. F. Terry, B. T. Appleton, V. B. Duff~, H. N. Kolley, E. H. Ridgway, F. H. L. Bennett, H. Kellogg, W. H. Randolph, J. H. Tyler, G. T. Bancroft, F. W. Dunn, L. C. Krecbting, XV. B. H. Russ, H. C. Lee, K. J. Reed, J. V. Barker, B. Ebersole, F. F. King, J. H. Sawyer, H. P. Bergland, J. NI. Vogeler, W. J. Bass, H. XV. Fobes, H. N. Lauguecker, H. L. Schorer, B. H. Bonta, NI. B. Love, J. NI. iRemsen, C. NI. Washbnrn, H. G. Friable, XV. S. Caidwell, J. A. i\Ianwaring,W. H. Ricker, W. G. Weaver, L. S. Beau, F. C. Lee, A. E. Scofield, H. B. Carr, J. R. iXiarshall, H. W. Rosencrantz, E. ~Villock, J. S. Beasley, C. B. Freese, J. A. Lewis, J. S. Seeley, L. Beeuwkes, H. Gray, B. P. Macht, B. I. Seem, H. B. Casler, DeW. B. McCarty, XV. C. Saclis, R. Wilson, XV. S. Gray, H. L. Marsdeu, G. Egdahl, A. MeGonidrickEC. Schell, 0. H. Wilson, W. Beifeld, A. H. Shippen, L. P. Garwood, H. G. Bumps, G. W. Greene, J. B. Mason, E. NI. Sladen, F. J. Morgan, L. S. Stone, H. R. Blackman, J. H. Griffith, F. W. Meloy, C. H. Sloan, H. G. Bogart, P. NI. Griswold, A. H. Mills, C. W. Stone, H. B. Bohannan, NI. NI. Bale, B. J. Minehart, V. L. Straight, P. H. Second Year. (67). Boland, W. J. Hazen, ii. H. Moore, R. H. Strouse, S. Burliugham, B. H. Belmholz, H. F. Morse, A. H. XVaile, XV. XV. Abercrombie, H. T. Fans, C. NI. Leopold, B. J. Ross, NI. J. Byrnes, C. IXI. Bennington, CXV. Murdoch, A. G. XVebb, II. H. Baer, C. A. Ford, F. R. Marine, D. Schloss, 0. NI. Caulk, J. H. Herringtou, NI. Murphy, L. C. White, G. H. Baldanf, L. K. Freeman, A. XV. Martelle, H. A. Slocum, H. B. Church, F. H. Hewitt, J. H. Ortachild, J. F. XVilbur, F. P. Ballon, A. iXI. Gilman, P. K. McDonald, A. L. Smead, L. F. Cobb, 0. H. Hinds, G. C. Partridge, C. B. Winter, J. A. Beeson, NI. A. Grier, S. NI. Mehard, XV. NI. Stone, C. XV. Coffin, T. H. Hinman, F. Patek, H. XVinthrop, G. J. Berohelin, B. NI. Hale, B. Meyer, A. XV. Towles, C. B. Cole, H. P. Hunt, J. B. Pels, J. H. XVolfort, B. B. Constantine, K. XV. Hall, F. J. Moss, XV. L Tuttle, L. Crispin, E. L. Hntchings, B. H. Pfeiffer, B. B. Wolman, S. Cowles, C. U. Hailer, J. T. Mnmford, B. B. Vander Hoof, D. Cross, B. S. Ingraham, C. B. Putta, B. S. XVroth, P. Cutter, XV. B. Hempatead, H. Paullin, J. B. Van Voast, H. A. Cullen, V. F. Danforth, NI. S. Bephorn, N. F. Post, A. L. Ward, B. H. P. Dascombe, 0. L. Higgins, R. P. Rehberger, G. B. Whipple, G. II. PHYSICIANS ATTENDING SPECIAL COURSES. (20). Davenport, H. I. Hill, P. 5. Rhea, L. J. Well, H. I. Davidson, H. J. Hooker, B. R. Richardson, B. B. XVinn, N. L. Albrecht, N. Cone, C. Lewis, XV. NI. Smith, XV. H. Davis, A. XV. Honghton, E. Ricksher, C. Wright, T. NI. Anderson, A. J. Everett. H. H. NIcCalla, L. P. Thornton, J. NI. Dodds, S. A. Honghton, H. S. Rindlanb, NI. P., Jr. Young, F. L. Beall, K. H. Holding, A. F. lXleiklejohu, J. Vaughan, H. C. Bowman. C. B. Lankford, 11. NI. Risher, F. 0. Yontz, H. L. Buruham, F.XV. B. Keith, XV. D. Morris, H. S. Walls, H. V. Ryster, J. A. B. Lawson, G. B. Robinson, B. H. Bush, G. F. Klaesius, K. Potter, C. H. Young, J.

A REPRINT OF ECONOMIC TRACTS.

Certain writings of great importance in the development (4) A Refutation of the Wage-Fund Theory of Modern of economic thought have long been inaccessible to students. Political Economy as enunciated by Mr. Mill, M. P. Issued originally in limited form, often as mere contributions to and Mr. Fawcett, M. P. By Francis D. Longe, current discussion, such publications have become, with the London: 1866. progress of time and the increasing interest in the history of The tracts selected for reprint, it will be noted, are not mere political economy, so rare and valuable as to be either entirely unprocurab1~ or quite beyond the reach of the ordinary bibliographical rarities but indispensable elements in any precise study of the historical development of modern economic theories. student. Ricardo’s Morning Chronicle Letters mark the beginning of his To meet the need thus indicated, the Johns Hopkins Press invites subscriptions to a reprint of four notable economic tracts career as an economist and publicist. The tract on Rent consti- tutes Malthus’ chiefclaim to authorship of the law of diminishing of the Dineteenth century, to be issued consecutively, begin- ning in January, 1903, under the editorial direction of J. H. returns. Recent critical studies have made clear the large indebtedness of the classical political economy to Sir Edward Hollander, Ph. D., Associate Professor of Political Economy in West’s pamphlet. The refutation of the wage-fund theory in the Johns Hopkins University. modern political economy is identified, certainly in point of time, The series will consist of the following tracts: with Longe’s essay. Each tract will be supplied XVith a brief introductory note and (1) Three Letters on ‘The Price of Gold,’ contributed to necessary text annotations by the editor. If results warrant, it The Morning Chronicle (London), in August-Novem- is proposed to reprint, in succeeding years, similar series of ber, 1809. By David iRicardo. economic tracts of the seventeenth and eighteenth centuries, respectively. (2) An Inquiry into the Nature and Progress of Rent, and With a view to serving the largest scientific usefulness, the the principles by which it is regulated. By T. R. subscription for the entire series of four tracts has been fixed at Malthus. London: 1815. the net price of One Dollar (5 shillings 5 marks = 6 francs). The edition will be limited to five hundred (500) copies. (3) Essay on the Application of Capital to Land, with Single tracts to an extent not required by series subscriptions observations shewing the impolicy of any great re- will be sold at the uniform price of forty (40) cents per copy. striction of the importation of corn, and that the Subscriptions for the series and orders for single tracts should bounty of 1688 did not lower the price of it. By a be sent to Fellow of University College, Oxford. (Sir Edward THE JOHNS HOPKINS PRESS, West.) London: 1815. Baltimore, Md. DECEMBER, 1902.] UNIVERSITY CJPJJULAfiS. 19

THE COLLECTED PHYSICAL PAPERS OF HENRY A. ROWLAND.

The volume containing the Physical Papers of the late Pro- The subjects treated in these papers cover a wide range. In fessor Henry A. Rowland, the preparation of which for publication Heat there is the great memoir on the Mechanical Equivalent of was announced in April of this year, is now ready for distribution Heat, with several shorter articles on Thermometers. In Elec- to its subscribers. It has been edited under the direction of a tricity and Magnetism there are the fundamental researches on committee, consisting of President Reinsen, Professor Welch and Magnetization, on the Magnetic Effect of Electrical Convection, Professor Ames, who have made every effort to present to the on the Value of the Ohm, on the Theory and Use of Alternating world, in a suitable form, this memorial of their colleague. Currents, etc. In Light there are the renowned discovery and In this book, which contains 716 pages, royal octavo, are theory of the Concave Grating and the long series of investiga collected not alone Professor Rowland’s strictly scientific papers tions made in tbe field of Spectroscopy. and his public addresses, but also a detailed description of his The price set is $7.50 per copy [C1. 10. 6.; francs 40; marks 32]. ruling engine, with plates and photographs. The memorial ad- Orders may be sent to dress of Professor Mendenhall serves as a biographical sketch, THE JOHNS HOPKINS PRESS, which is accompanied by a portrait of Professor Rowland. BALTIMORE, MARYLAND.

Recent Works on Medinval History. By E. J. BENTON. PROCEEDINGS OF SOCIETIES. Seligman’ s Economic Jnterpretatiofs of History. By G. E. BARNETT. November 21. Scientific Association. Introduction to Reconstruction in South Carolina. By PORTER October 29, 1902. Annual Business Meeting. HOLLIs. The following officers were elected: Cobb’s Rise of Religious Liberty in America. By J. M. WRIGHT. President—J. S. AiuEs. Past and Present of Commerce in Japan. By Y. HATTOET. Vice-President—H. F. REID. December 5. Secretary—J. B. GILPIN. The Eight Hour Labor Law. By THEODORE MARBIJEG. November 20.—One hundred and sixty-third regular meeting. A Visit to the Reichsanstalt and other Physical Laboratories of Europe. By IDr. CHARLES W. WAIDNER, of the National Bnreau The December number of the Bulletin of the Johns Hopkins of Standards. Hospital contains The Huxley Lecture on “Recent Studies of The Marine Biological Laboratory at Beaufort. By Dr. CASWELL Immunity ~vith special reference to their bearing on Pathology,” GRAVE. delivered at the opening of the winter session of Charing Cross November 24.—Special Meeting in McCoy Hall at 8 p. m. Hospital Medical School on October 1, 1902, by Prof. William An illustrated lectnre by Mr. G. W. RITcHIE of the Yerkes Observ- H. Welch. atory on “Recent Results in Astronomical Photography with the Large Instruments of the Yerkes Observatory.” CONTENTS. PACE. Philological Association. NOTES PEON TEE MATHEMATIcAL SEMINAEY. Editedby Professor Frank Morley:— October 17, 1902.—Two hundredth regular meeting. Professor Gilder- On the Hypercycloids of Class Three Inscribed in a 3-line. By H. A. CoNvans 1 Proof of the Impossibility ofthe Construction of one of the Kantor (3,3)~ Con- sleeve in the chair. Fifty-eight members were present. figorations. By W. B. CAEvEE, 3 The Development of the Pronosninal Forms of Address in German On a System of Hypocycloids of Class Three. By H. A. CONvEESE, - - - 4 and French Epic Poetry. By C. E. LYON. On a Bew Circle which Arises from Any Number of Directed Lines. By C. E. Analogies between Semitic and Tagalog. By F. R. BLAKE. Baooscs, 5 An Account of Merlin’s Birth in CNsar of Heisterbach. By G. C. KEIDEL, - - 5 November 21.—Two hundred and first regular meeting. Professor. Gil- A. XV. STEATTON, 8 dersleeve in the chair. Fifty-two members were present. REcENT APPOINTMENTs, 9 The Tale of Gyges and the King of Lydia. By K. F. SMITH. EEUMEEATION OF CLASSES, FIEST HALP-YEAE, 1902-1903: Theocritean Parallels to the Song of Songs. By W. G. SEIPLE. Mathematics, Physics, Chemistry, - - - 11 Geology, Biological Sciences, 12 Historical and Political Science Association. Greelc, Latin, .Sanskrit and Comparative Philology, - 13 Oriental Seminary, English, 14 October 17. German, Romance Languages, 15 16 Legal Aspects of the Coal Strike. By W. W. WILLOUGHBY. History and Political Sciences, Political Economy, - Philosophy, Drawing, Public Speaking, - - - - 17 October 31. Students in the Johns Hopkins Medical School, - - 17 Municipal Problems in Medinval Switzerland. By J. M. VINCENT. Hocus POE LEcTUENS AND REcITATIONS, FIRST-HALF YEAE, 1902-1903, - - 20

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HOURS. MONDAY. TUESDAY. WEDNESDAY. THURSDAY. FRIDAY. SATURDAY.

A. M. CarbonDifferentialCompounds.Equations.(Remoen.)(Cohen.) CarbonTheory Compounds.of Geoups. (Morloy.)(Remoen.) CarbonGeometry.Compounds.(Morley.)(Remoen.) InorganicGeometry.Chemistry:(Morley.) Adv. (Morse.) InorganicGeometry.Chemistry:(Morley.) Ady. (Morse.) Chem. Jour. Meeiing. (Remoen.) Chem. : Minor. (Renoufand Waters.) Chem.: Minor. (Renoufaud Waters.) Chem.: Minor. (RenoufaudWators.) Chem. : Minor. (Renouf and Waters.) Chemistry : Major. IGilpin.) Chemistry: Major. (Gilpin.). Chemistry: Major. (Gilpin.) Chemistry: Major. (Gilpin.) AnalyticGeometry Minor. (Hulburt. LaGss Composition. (Guernsey.) Livy. (Guernsey.) Livy. (Guernoey.) Livy. (Guernsey.) Determinants and Calculus. (Hulburt.) Determinarsto andCalculus. (Hulburt.) Determinants andCalculus. (Hulburt.) I)etermiuantsand Calculus. (Itulburt.) Solid Geom. ; Trigonom. (Converse.) Biology: Major. (Brooks.) Biology : Major. (Brooks.) Biology : Major. (Brooks.) Biology : Major. (Brooks.) Electricity and Magnetions. (Ames.) Electricity and Magnetism. (Ames.) Electricity aud Magnetism. (Ames.) Electricity and Magnetism. (Ames.) ExperimentalPhys. (Ames & Parsons.) Middle High German. (Yes.) Iieissrich von Veldeke. (Vos.) Heinrich von Veldeke. (Yes.) (9—12.) uglishLicerature. (Greene.) English Literature. (Greene.) English Literature. (Greene.) Spanish : Elective. (Mardess.) Spanish : Miaor. (Marden.) Spaniels: Miner. (Marden.) Spanish : Miner. (Marden.) Spanislo : Miner. (Marden.) Industrial Organization. (Barnelt.) Physiology. (howell.) Physiology. (Howell.) Physiology. (Howell.) Physiology. (Howell.) Reman Literature. (Smith.) Class.Jour.Cluh.(Smith.)(Alt.Fridays.) French Phonetics. (Armstrong.) Exohasse. (Hellander.) Exchange. (itellander.) Economic Tissught. (Hellander.) Economic Thought. (Hellandor.) Koran. (Oussani.) Syriac.Aristephanos.(Johnston.)(Miller.) French Syntax.. (Armstrong.) Tagfolen.AristophanesAdv.(Miller.)(Blake.) French Syntax. (Armstrong.) Italian : Miner. (Shaw.) ltalian : Minor. (Show.) Italian : Minor. (Shaw.) Italian : Minor. (Shaw.) Italian Novel. (Show.) Juvenal ; Pliny. (Wilson.) Latin Headings~ Adv. (Wilson.) Juvonal; Pliny. sWilsen.) Juvenal ~Pliny. (Wilson.) Prevengal. (Ogden.) French Novel. (Ogden.) German ~Elective. (Kurrelmeyer.) French : Elem. (Brush.) French ~Elem. (Brush.) Old French Headings. (Brush.) French : Elem. (Brush.) Greek Seminary. (Gildereleeve.) Practical Exercises. (Gildereleovo.) Greek Seminary. (Gilderoleove.) Greek Comedy. (Gilderoleeve.) Practical Exercises. (Gilderoleeve.) .Physics : Miner. (Ames.) Analytic Geometry: Miner. (tiulburt.) Phys. : Miner. (Amos and Whitohoad.) Physics : Minor. (Amos.) Physics : Miner. (Amos.) General Biology. (Audrews.) General Biele~y. (Andrews.) General Biology. (Androws.) Genoral Bioley. (Andrews.) Fronds : Major. (Brush.) French: Major. (Brush.) French: Major. (Brush.) French Major. (Brush.) Ancient History : Miner. (Ballagh.) English Literature. (Greene.) Ancient History : Minor. (Ballagh.) Ancient History : Minor. (Ballagh.) Ancient History : Miner. (Ballagh.) FrenchPhonology. (Armstrong.) French : Elective. (Armstrong.) FrenchPhsnelsgy. (Armstrong.) Econonsics. (Hollander.) Economics. (Bellander.) Exploratory Surveying. (Hold.) Economic Geology. (Clark.) Exploratory Surveying. (Heid.) . Geological Journal Club. Romance Methodology. (Keidel.) Arabic Conversation. (Oussani.) Arabic Iliotorians. (Johnston.) Arabic Historians. (Jehuoton.) Ethiopic. (Blake.) Old Egyptian. (Johnston.) 1 0 Old Hegime in France. (Vincent.) Old Regime in France. (Vincent.) Central Europe. (Vincent.) Central Europe. (Vincent.) Ilislerical Seminary. (Vincent.) Dramas. (H. Wood.) German Seminary. (H.Wood.) Schiller’s Dramas. (H. Wood.) German Seminary. (H.Woed.) German Seminary. (H.Wood.) Lucian. (Spieker.) Theory of Groups. (Morley.) DifferentialSpanish Grammar.Equations.(Marden.)(Cohen.) DifferentialLucian~ (Spieker.)Equations. (Cohen.) DafferenisalSpanish Grammar.Geometry.(Macdon.)(Cohen.) DifferentialEarlySpanishGeometry.Drama. (Marden.)(Cohen.) European History. (Steiner.) Solid Gesm. ; Toigonom. (Converse.) European History. (Steiner.) homer; Herodetus. (Miller.) German : Elective. (Eurrelmoyer.) Physical Chemistry. (Jones.) Physical Chemistry. (Jones.) Physical Chemistry. (Jones.) Applied Electricity. (Whitehead.) Applied Electricity. (Whitohead.) Sallust : Cicero~ Comp. (Guernsey.) Sallust ; Cicero ; Comp. (Guernsey.) Sallust ; Cicero; Comp. (Guernsey.) Italian Seminary. (Show.) Victor lingo. (Orden.) Hebrew. (Foote.) Economics : Minor. (Barnoit.) Economics: Miner. (Barnoit.) Economics : Minor. (Barnett.) Economics : Minor. (Barnett.)

German: Miner. (lIWeod.) German: Minor. (Yes.) Civilization. (Ballagh.) Civilization. (Ballagh.) English Literature. (Greene.) German: Minor. (Yes.) German: Minor. (Yes.) Homan Comedy. (Smoth.) Latin Seminary. (Smith.) American I-Iistory. (Balla5h.) American History. (BOllOeh.) Southern Ilislery. (Ballagh.) logic and Psychology. (Griffin.) Logic and Psychology. (Griffin.) Roman Stage. (Smith.) • Latin Paheograploy. (Wilson.) Latin Semisoary. (Smsth.) German: Minor B. (Kurrelmeyer.) German: Minor B. (Eurrolmeyer.) Logic asod Psychology. (Griffin.) Lo~ic and Psychology. (Griffin.) Logic andPsychology. (Griffin.) i i Popular Latin. (Elliott.) Zeolo Forenoics. (Lee.) (Alt. Wednesdays.) German: Minor B. (Kurrelmeyor.) German: Minor B. (Kurrelmeyer.) 5y: Adv. (Brooks.) Zoology : Adv. (Brooks.) Zooloical Seminary (Brooks.) Zooloical and Botanical Journal Club. Potronraphy. (Mathews.) . Spansolo Somissary. (Marion.) Homance Club. (Elliott.) French Scm. (Elliott.) (Alt. Thurs.) French Phonology. (Armstrong.) German Oral Exercises. (Hefmaun.) Petro~raphy. (Mathews.) . Petro~raphy. (Mathosso.) French Sem. (Oden.) (Alt. Thurs.) Solid Geom. l Trigonom. (Converse.) German: Major. (tiofmano.) German Oral Exercises. (Iiofmann.) German: Major. (Yes.) Hebrew. (Blake and Foote.) Meteorology. (Fassig.) German: Major. (II. bVood.) Browning’s Dramas. (Browne.) German: Major. (II. Wood.) Gothic. (tIWood.) Gothic. (H. Wood.) TheeryofFunctions. (Cohen.) Caroline Poets. (Browne.) Physics : Jour. Meeting. (Ames.) European Ilistory. (Benten.) Europeanhistory. (Benton.) Differesotial Equations. (Cehoc. ) Analytic Geom. : Minor. (Ilulburt.) Theory ofFunctions. (Cohen.) Astronomy. (Parsons.) Assyrian. (Johnston.) hieratic. (Johnston.) Assyrian. (Johnston.) M. Physics : Major. (Bliss.) Physics: Major. (Bliss.) Physics: Major. (Bliss.) Analytic Geom.: Misoor. (Hulburt.) Physics: Major. (Bliss.) Plato. (Spieker.) Plate. (Spieker.) Plate. (Spieker.) Solid Qeem. t Trigonom. (Converse.) Greek Composition. (Spieker.) French: Minor. (Brush.) French: Minor. (Brush.) French: Minor. (Brush.) Forensics. (Lee.) French: Minor. (Bruslo.) Ehetoric. (Greene and French.) Eheteric. (Greene and French.) Ehetoric. (Greene ud French.) Petronios. (Wilson.) English Constitution. (J.ee.) American History. (Steiner.) English Conotitution. (Lee.) French: Elective. (Armstrong.) American Ilistory. (Steiner.) French Dialects. (Elliott.) Marie do France. (Elliott.) Dante. (Elliott.) French Scm. (Elliott.) (Alt. Thurs.) French: Minor B. (Ogden.) French: Minor B. (Ogden.) Fronds : Minor B. (Ogden.) French Scm. (Ogden.) (Alt. Thurs.) French: Minor B. (Ogden.) 1 2 Anglo-Saxon. (Bright.) lust. English Grammar. (Bright.) Angle-Saxon. (Bright.) Hiot. English Grammar. (Bright.) Sanskrit: Adv. (Barrel.) Sanokrit Adv. (Barret.) Vedic Seminary. (Bloomfield,) Sanskrit Elem. (Bloomfield.) English : Major. (Browne.) MiddleHiah German. (Yes.) Latin Composition. (Guernsey.) English : Ma or. (Browne.) Theory of I-loot. (H.W.Wsed.) Theory of heat. (H. XV. Wood.) Theory of ileat. (H.W. Weed.) Public Law. (Willoughby.) Public Law. (Willoughby.) Political Theories. (Willoughby.) Political Theories. (Willoughby.) Old Spanish Headisogs. (Borden.) General Mineralogy. (Mathews.) General Mineralogy. (Mathews.) General Mineralogy. (Mathews.) General Mineralogy. (Mathews.) Historical Examinations. (Bollogh.) Botany : Adv. (Johnson.) Botany : Adv. (Johnson.) Spanislo : Elective. (Marden.) Arabic. (Blake.) Bihlicol Archwolegy. (Johnston.) Italian Elective. (Show.) Riot. of Ancient East. (Johnston.) Economics ~Major. (Barnoit.) Econonsics : Major. (Barnelt.) Economics : Major. (Hollander.)

P.M. English: Minor. (Brewne.) English: Minor. (Browne.) English: Minor. (Browue.) English: Minor. (Browno.) Economics: Major. (Ilellander.) Greek Composition. (Spieker.) Xenophen. (Spieker.) Xenophen. (Spieker.) Xenephon. (Spieker.) homer; Herodotus. (Miller.) 1Generalic Speaking.Geology. (Shattuck.)(Leo & Williams.) GeneralPublic Speaking.Geology. (Shattuck.)(Lee & Williams.) GeneralPublic Speaking.Geology. (Shattuck.)(Lee and French.) General Geology. (Shattuck.) Italian:Public Speaking.Elective. (Lee(Show.)and Williams.) Petrenins. (Wilson.) Public Speaking. (French.)

Comp.ZeelsaySemitic: Elective.Grammar.(Grave.)(Haupt. OldDrawing.Testament(Whiteman.)Seminary. (Haupt.) Hebrew:IntroductionElem.toLaw.(ilaupt(Lee.)and Foote.) IlebrewDrawing.Syntax.(Whiteman.)(Blake.) 2 German HistHeadings. (Kurrelmeyer.) Babylonian Nimrod Epic. (Haupt.) Old Testament Seminary. (Haupt.) Hebrew: Elem. (Houpt and Foote.) Biblical Aromaic. (Blake.) History of Philosophy. (Griffin.) 3 French Literature. (Brush.) (Monthly.) Old French Headings. (Armstrong.) GermanRiot. Headings. (Eurrelmeyer.) English Seminary. (Bright.) English Seminary. (Bright.) German Novel. (Baker.) Zoology: Elective. (Grove.) Drawing. (Whitemon.) Homer; Horedotne. (Miller.) Drawing. (Whiteman.) Cempar. Philology. (Bleemfield.) Sonskrit: Elem. (Bleemfield.) Comparative Grammar. (Bleemfield.) PIli. (Bloomfield.) Sumerian. (Houpt.) . SomitieProse CesroD. (Haupt.) Germanic Society. (H. Wood.) 4 Lithuanian. (Ness.) English Seminary. (Bright.) (Alternate Fridays.) Italian Conversation. (Oussoni.) English Seminary. (Bright.) English Journal Club. (Bright.) Drawing. (Whiteman.) Drawing. (Whiteman.) (Alternate Fridays.) Political Seminary. (Willoughby.) (Alternate Fridays.) Semitic Prose Cemp. (Haupt.) Biblical Literature. (Hauptand Foote.) Togole~. : Elem. (Blake.) 0 Scientific German. (Kurrelmeyer.) Economic Seminary. IHellander.) Physical Seminary. fAmes.) Scientific German. (Eurrelmeyer.) Laboratory Manip. (H.W. Wood.) (S p. in., alternate Tuesdays.) Physiological Journal Club. (Howell.) Germanic Society. (H. Wood.) (S p. in.) (Alternate Fridays.) j5 . English(AlternateJournalFridaClub. s. Bright.)