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Accuracy of Trisections, See Errors Agnesi, Maria Gaetana (1718-1799 Index Accuracy of trisections, see Errors letter to De Morgan, xii Agnesi, Maria Gaetana (1718-1799), 7 review of The Decimal System as a American Association of University Whole, ix Professors, 41 Bulletin de la Societe Mathematique, 15 American Mathematical Monthly, 4, 13 Bulletin of the American Mathematical American Mathematical Society, 21 Society, 97 American Scientist , 75 Bureau of Trisections, Federal, 58 American Society of Civil Engineers, 60 American Trisection Association, 144 Anning, Norman, 15 California, preeminent once again, 58 Annular Newsletter, 70 California Freemason, 160 Appollonius (c. 255 acj 45 Cardioid, 10 Archimedean straightedge, 125 Carnegie Institute of Technology, vii Archimedean trisection, 3, 4, 68, 84, 86, Carnegie-Mellon University, vii 107, 122, 141 Carpenter's square, 13, 126 Archimedes (287-217 ac), 3,9,22,38, Chicago, University of, 30 45,74,86 Cincinnati Post and Times-Star, 83 Arithmetical Books, ix Circle-squaring, xi, 2, 38,45, 105, 108, Arkansas, University of, 117 110, 138, 154, 157 Astroid, 7 Cissoid of Diocles, 7 Aubrey, John (1626-1697), 95 Civil Engineers, American Society of, 60 Auckland University College, 94 Conchoid of Nicomedes, 7 Congressional Record, 110 Construction, nubbly, 142 Ballot for American Mathematicians, 158 Crank mathematics, xiii Bernoulli, Johann (1667-1748), 7 Cube, duplication of, 2, 25, 45, 69, 102, Bernoulli, Johann (1710-1790), 29 105, 110, 138, 157 Birthology, mathematical, 105 Bisection, successive, 133 Bricard, M. H., 15 Deltoid,7 Brief Lives, 95 De Morgan, Augustus, (1806-1871), viii, Budget of Paradoxes, A, viii, 1, 18, 19, 20, 20,26,30,55,75,113 26,27,28 on the beliefs of mankind, vii anagram of De Morgan, ix on flies and elephants, xi astronomer's drinking song, ix on grooving, 32 166 Index De Morgan (cont.) 22',103 on James Smith, 27, 28 26',128 on a lump of paradoxers, 55 30',113 on the persistence of paradoxers, 55 36',145 on responses to circle-squarers, 28, 30 42',96 on responses to trisectors, 26 43',97 on the rinderpest of geometry, 18 44',101 on trisecting paper, 32 55',107 on trisectors as a class, xii, 18 very large, 61, 62, 63, 75, 85, 87, 89, on writing in books, 1 93,105,116,125,145,157 De Morgan, Sophia Elizabeth Frend, very, very large, 153 viii, x Euclid (c. 300 B.C.), 2, 36, 82, 114 Desargues, Girard (1593-1662), 81 Euclid's Fifth Postulate, 25, 105 Desargues' theorem, 22, 81 Euler, Leonhard (1707-1783), viii Descartes, Rene (1596-1650), 7, 157 Diary ofDeliberate Death, A, 33 Dictionary of National Biography, 95 Fate magazine, xii Dictionary of Scientific Biography, viii Federal Bureau of Trisections, 58 Diocles (co 200 B.c.), 7 Fermat's Last Theorem, 51, 105 Dubbey, r. M., viii Four color problem, 105 Dubuque (Iowa) Telegraph-Herald, 139 Fields, W. C. (William Claude Duplication of the cube, see Cube Dukinfield, 1879-1946),47 Firbank, Arthur Annesley Ronald (1886-1926),33 Einstein, Albert (1879-1955), 29, 36 Folium of Descartes, 7 Einstein 's Theory of Relativity, 40 Franciscans, 89 Elements of Geometry, Euclid's, 2, 95 Encompassment Geometry, 70 Errors, maximum, in trisections of acute Galileo Galilei (1564-1642), xi angles Galois, Evariste (1811-1832), 45, 64 1",76 Gauss, Carl Friedrich (1777-1855), x, 12", 143 106, 114, 144 14",93 Glatin, M., 15 47",65 God, existence of, 150 52",82 Godel, Kurt, 71 2', 114, 118, 150, 162, 163 Gottingen, University of, 51 3',66, 72, 91, 95, 103, 107, 130 Greece, 138 4',80,148 Greencastle, Indiana, 78 5', 122, 133, 140 6',79,90 8',120,140 Harvard Naval Radio School, 49 9',73,113,141,152 Hipparchus of Nicea (c. 150 B.c.), 44 10', 98, 119, 121 Hippias (c. 400 B.c.), 5 11', 138 quadratrix of, 6 12',78 Hobbes, Thomas, (1588-1679), 95 14',83 Hochstein, A. Eo, 15 16',132 17', 115, 123 20',59,159 Indianapolis Star, 63 Index 167 Industrial Arts Maga zine, 60 Pascal, Etienne (1588-1640), 9 Pauling, Linus, 40 Philo, Illinois, 19 Journal de mathematiques pure et n,27,28,30, 35,39, 138, 154, 162 appliquees, xiv Plato (co400 BoC), 5 Pythagorean theorem, 2, 34, 36, 95 Pythagoreans, 1 Kabbala, The, 149, 150 Konig, Samuel, 29 Kramer, Edna Eo, 33 Quadratrix of Hippias, 6, 9 Legendre, Adrien-Marie (1752-1833), R., No, 156 127 Rand Corporation, 28 Lemniscate of Bernoulli, 7 Rappaport, 103 Leviathan, 96 Rhind papyrus, 1 Liouville, Joseph (1809-1882), xiv Rosetum Geometricum, 95 Lorentz, Floyd So, 15 Roulettes, 7 Los Angeles Herald-Examiner, 111 School Science and Mathematics, 15,87, Maclaurin, Colin (1698-1746),12 111,139 Math,l44 Scripta Mathematica, 16 Mathematical Association of America, Scudder, Henry T o, 13 119 Seljhood Architecture, 124 Mathematical birthology, 105 Shepler, H. c., 139 Mathematical Re views, 3 Shoemaker's knife, 15 Mathematical Snapshots , 103 Smith, James , 27, 28 Mathematics Magazine, 30,105 Smith, David Eugene (1860-1944), ix Mathematics Teacher, The, 15 Speedwriting, 124 Maximum errors in trisections, see Errors Spiral of Archimedes, 9 McKeesport, Pennsylvania, 155 Springer-Verlag, 73 Mechanix Illustrated, 43, 72,98 Squaring the circle, see Circle-squaring Montucla, Jean Etienne (1725-1799), 113 Steinhaus, Hugo, 103 Moritz, Robert Edouard, 87 Stonehenge Viewpoint , 70 Moscow, University of, 60 Successive bisection, 133 Moser, Leo, 16 Syracuse, 86 National Academy of Sciences, 30 Telegraph-Herald (Dubuque, Iowa), 139 National Science Foundation, 40 Tomahawk, 15 Nature and Growth of Modern M athe- Transactions of the New Zealand matics, The , 33 Institute, 94 Newsday, 133 Trisection Game, The , 143 Newton, Sir Isaac (1642-1727), x, 36,144 Trisection of the angle, passim Nicomedes (co250 B.Co), 7 Trisection Problem, The , xv, 37, 42 Trisections, accuracy of, see Errors Trisectors Pascal, Blaise (1623-1662), 10 a L. Ao, 59 168 Index Trisectors (cont.) M. E. 1., 97 A. B., 32 N. J., 104 N. L. B., 61 R. J., 104 R. R. B., 60 T. J., 96 e., 66 W. J. J., 100 D. c, 66 H. L., 108, 137 E.e., 65 G.W.L.,109 H. C., 43,61, 72, 98 J. A. L., 113 H. A. C., 63 K. O. L., 105 L. S. C., 62, 67 M.L.,110 N. B. e., 64 R. A. L., 107 R. e., 67 D. E. M., 114 R. H. C., 68 J. e.M., 117 J.J. C., 24, 25, 26, 38, 50, 63, 69, 77, N. M., 118 139,156 T. M., 116 S. W.e., 70 R. A. O'B., 118 e.D., 39 A. G. 0.,119 E. S. D., 73 W.O., 120 G. W.D., 73 A. M. P., 120 H. De M., 75 D. P., 121 N. R. D., 73 L. S. P., 124 R. A. D., 77 R. P., 122 U. D., 78 R. E. P., 124 W. D. D., 78,160 A. B. R., 131 J. E., 80 E. R., 132 N. R. E., 81 H. R., 129 B. A. F., 82 J. C. R., 127 E. F., 46 L. R., 126 H. A. F., 84 M. F. R., 127 W. S. F., 83 M. J. R., 126 e.S. G., 87 S. G. R., 130 '. G., 85 S. L. R., 125 _. J. G., 89 W. H. R., 130 N. W. G., 84 H. F. S., 133 P. G. G., 86 K. B. S., 134 R. L. G., 88 B. T., 141 A. e. H., 90 B. H. T., 146 B. H., 92 e.T., 151 e. H., 92, 127 e.D. T., 142 G. H., 91 F. T., 136, 146 M.G.H.,93 F. K. T., 135 T. H., 95 G. T., 150 V.H.,94 I. T., 138 e.J., 99 J. T., 135 A. L. J., 97 J. A. T., 143 D. 1. J., 102 L. T., 140, 141, 148 D. R. J., 103, 104 L. J. T., 136 J. J., 101, 137 L. W. T., 139 K. O. J., 100 R. T., 145, 147 Index 169 S. T., 149 University T. G. T., 137 of Arkansas, 117 T. S. T., 140, 148 of Chicago, 30 W. H. T., 146 of Gottingen, 51 A. D. W., 153 of Moscow, 60 1. X. W., 110 H. A. W., 158 J. C. W., 161 Vail, I. N., 70 M. A. W., 162 O. E. W., 160 S. W., 154 Wantzel, Pierre Laurent (1814-1848), S. R. W., 152 33,41,66,72,81,106, 146, 147, S. W. W., 156 157 V. W., 157 Wegener, Alfred Lothar, xi E. H. Y., 163 What is Mathematics?,xiv Trisectors, female, 18, 145 White, E. E., 4 Trisectrix of Maclaurin, 12 Witch of Agnesi, 7 Trochoid, 7 Wolfskehl prize, 51 Tschirnhausen, Ehrenfried Walthar von, (1651-1708), 7 Tschirnhausen's Cubic, 7 Yates, Robert Carl (1904-1963), xv, 37, Turkish, 66 42.
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