February, 1902 Rose Technic Staff Rose-Hulman Institute of Technology

Rose-Hulman Institute of Technology Rose-Hulman Scholar Technic Student Newspaper Winter 2-1902 Volume 11 - Issue 5 - February, 1902 Rose Technic Staff Rose-Hulman Institute of Technology Follow this and additional works at: https://scholar.rose-hulman.edu/technic Recommended Citation Staff, Rose Technic, "Volume 11 - Issue 5 - February, 1902" (1902). Technic. 239. https://scholar.rose-hulman.edu/technic/239 Disclaimer: Archived issues of the Rose-Hulman yearbook, which were compiled by students, may contain stereotyped, insensitive or inappropriate content, such as images, that reflected prejudicial attitudes of their day--attitudes that should not have been acceptable then, and which would be widely condemned by today's standards. Rose-Hulman is presenting the yearbooks as originally published because they are an archival record of a point in time. To remove offensive material now would, in essence, sanitize history by erasing the stereotypes and prejudices from historical record as if they never existed. This Book is brought to you for free and open access by the Student Newspaper at Rose-Hulman Scholar. It has been accepted for inclusion in Technic by an authorized administrator of Rose-Hulman Scholar. For more information, please contact [email protected]. - VOL. XI. TERRE HAUTE, IND., FEBRUARY, 1902. No. 5 THE TECHNIC. E solicit the patronage of our advertis- W ers. BOARD OF EDITORS. AAA UDGING from the enthusiasm displayed at Editor in Chief, the general assembly of Feb. 8, and the ap- W. A. PEDDLE. Associate Editors, parent willingness on the part of every one to R. C. WARREN, Assistant Editor build up athletics, we look C. Housum, Reviews take hold and help CLAUDE E. COX, Alumni for and confidently expect great things of Rose Athletics I. J. Cox, at the Spring meet. H. BLAIR PETTIT, Local J. Dow SANDHAM, We make a personal appeal. Come out and ALFRED N. Au 'TIN Artist Executive Department. give Mr. Crawford the chance to make a prize CHESTER L. POST, Business Manager place Rose Assistant Business Manager winner of you, and by so doing help to where she once stood, first among the colleges of TERMS: the state in athletics. One Year, $1.00. Single Copy, 15 cents. Issued Monthly at the Rose Polytechnic Institute. a student some sort of Entered at the Post Office, Terre Haute, Indiana, as second-claw; HE question of giving mail matter. T credit for his gymnasium work, we under- by the Faculty. R. MEES is arranging for a Spring lecture stand, is to be considered one's while to course, but at this date has not the sche- This would make it well worth D Mr. Crawford dule in form for publication. We can say, how- attend regularly the classes. record of each stu- ever, and we are glad to announce it, that there would be instructed to keep a would figure in will be in the course a lecture on Business Law dent's work, and these records standing. We believe and Contracts, which should be of particular in- some way in his general take up gym work who terest to the student. The engineer of today this would lead many to themselves that they must have a fair knowledge of business methods, otherwise wou1,1 persuade from study. in fact he should be a scientifically trained man could not take the time AAA of business, and to the graduate, a knowledge of HE books received by THE TECHNIC for re- business law should prove most helpful. view are now to be found on the library AAA T shelves. It is hoped that the privilege of draw- Modulus advertising board is now in ing them from the library will not be abused, THEplace in the lower hall, and it is hoped that and that no book will be kept out longer than the merchants of the town will avail themselves two weeks. of this opportunity given to advertise here as AAA well as Ill THE TECHNIC and Modulus. Space ENIORS have been directed to submit their will be given those who advertise in both publi S thesis subjects on or before Saturday, Feb- cations. ruary 15th. THE ROSE TECHNIC. notes on the Construction of 6raphical Diagrams for the Solution of Equations. By PROF. JOHN B. PEDDLE. tr_V RAPHICAL methods for solving certain that the size of the unequal graduations de- G equations connected with engineering work creases as we ascend the scale instead of increas- are coming to be so much used nowadays that I ing as in the other case. With a scale of this have thought that a few suggestions as to some of description the percentage of error in reading the commoner processes employed in attacking will be more nearly the same throughout its such problems might be of interest. length, for while an error of a fiftieth of an inch A great deal of work has been done along these in reading the higher part of the scale will rep- lines, one writer at least having filled a good sized resent a much larger absolute value than the volume with descriptions of the methods with same error in the lower part yet, since the total which he is acquainted. In this article I shall reading is large, the percentage of error will not attempt to give only the most rudimentary treat- be greatly different. ment of a few of the commonest and most useful There may of course arise special cases in which methods employed, not with the idea of presenting some other requirement may become paramount anything new, but with the hope of interesting and make a form like (a) preferable, but such those of my readers who may not already be ac- cases are the exception. quainted with the subject. It should also be noted that in this as well as Let its begin with a very simple case and sup- the following diagrams if we only require readings pose that we have an equation between two varia- between certain limiting values of v or h we need bles one dependent on the other. Take for in- only construct the scale between these limits, and this will stance v=--- 2gh, the expression for the velocity enable us at times to materially increase .\/ the size of the graduations for the same sized dia- of a falling body in terms of the height gram and therefore increase the accuracy of the 3 and gravity. readings. Draw a straight line of convenient length as in (a) Fig. 1, and starting from one end as zero graduate one side of the line to represent the h of the equation. Solve the equation for v and lay off the values of v on the uu line opposite the corresponding values HekA :1 • of h. This is perhaps the simplest form Fig. 2. Ii• II of graphical table or diagram, a glance Another way of graphically solving the above • showing the corresponding values of v equation is by means of its Cartesian curve on and h. squared paper, as in Fig. 2. Values of h are laid It could be modified by making even off on the horizontal or X axis and of v on the graduations on the v side of the line vertical or Y axis. Perpendiculars erected at as at (b) of the same figure, in which corresponding values of v and_11 on these axes case the h graduations will become un- will intersect on the curve, thus giving us a means equal. In general the (b) form is to of finding either quantity if the other is known. be preferred to the (a) for the reason Such a curve would not, perhaps, be of much THE ROSE TECHNIC. 97 practical value in solving an equation as simple In this diagram as well as in the others I shall as the one given above. It is described to show describe the range is not limited to values between what method could be employed if, in a more 0 and 10, for values on any of the scales may be complicated graphical solution, one step involved multiplied or divided by any multiple of 10 so finding a power or root of some quantity. It may long as care is taken to see that the other scales be of especial use if the power or root is fractional are changed to agree. as in such cases graphical methods will often save If for instance we divide the vertical scale much mental labor. numbers by 10 and call the 10 curve 1, and drop Let us suppose next that we have an equation perpendiculars from any point on it to the axes of the form.ab-=c. Suppose also for the moment the points thus found will be reciprocals. The 1 that c is constant. Then if values of a be laid off curve already drawn on this diagram could of on the X axis and of bon the Y axis, and we erect course be used for getting reciprocals, but would perpendiculars to corresponding values of a and b not be very practical on account of the sharpness (as shown by the equation) these perpendiculars of its intersections with some of the coordinates. will meet upon a curve which will be recognized This form of diagram is useful in some cases, as the equilateral hyperbola. We may have as but in general the labor involved in its construc- many of these curves as we have values of c. tion is so great as to prohibit its use for most pur- Fig. 3. poses, especially as there are other methods of accomplishing the same result much more simply.

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