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Index > M - Pg. 314

314 INDEX hedra, 27, 64, 66 Heegaard, Poul, 184 heliocentric astronomy. See Copernican astronomy Hermocrates, 42 Hessel, Johann Friedrich Christian, 146­149, 174, 179, 245 Hierholzer, Carl, 105 Hilbert, David, 262, 268 Hippasus, 38­40 homeomorphism, 176, 179, 183, 184 homology, 254, 255, 258, 263, 264, 266 homology group, 263 Hopf, Heinz, 213, 214, 222 Hopf's Umlaufsatz. See theorem of turning tangents Hoppe, R., 154 icosahedron, 27, 32, 34, 36, 40, 42, 43, 46­48, 56, 58­61, 76­78, 260 index (of a zero of a vector field), 206­210, 212, 214, 215 indicatrix, 165 interior angle theorem, 221, 225­227 invariance of dimension theorem, 246 isotopic, 174, 186, 196 Ivan VI of Russia, 18 Ivanovna, Anna, 16, 18 Jamnitzer, Wentzel, 51, 54, 149 Jonquières, Ernest de, 84, 85, 145 Jordan, Marie Ennemond Camille, 118, 183 Jordan curve theorem, 166, 169, 231 Kant, Immanuel, 101 Kauffman, Louis, 199 Kelvin, Lord. See Thomson, William Kempe, Alfred Bray, 137­142 Kempe chain, 139, 141, 142 Kepler, Johannes, x, 1, 8, 32, 49, 51­61, 92, 98, 143, 150, 260, 270; Cosmic Mystery, 55­57; The Harmony of the World, 57­59 Kepler conjecture, 143 Kepler-Poinsot polyhedron, 57, 58, 98, 149­151 Klein, Felix, 156, 159, 162, 165­169, 253, 262 Klein bottle, 167­169, 171, 178, 182, 209, 242, 245, 251, 257, 258, 273 knot, x, xii, 5, 186­201; figure eight, 186, 187, 193­197, 199, 200; gingerbread man, 186, 187, 193­200; granny, 196; pentafoil, 186, 187, 193­200; square, 186, 187, 191­200; trefoil, 185­200; unknot, 186, 187, 189, 190, 194­198, 200 knot invariant, 188, 189, 194, 197­200 Koch, John, 142 Koestler, Arthur, 53 Kroto, Harold, 7, 8 Kuhn, Thomas, 84, 86 Kuratowski's reduction theorem, 124 Lagrange, Joseph-Louis, 21, 112, 243 Lakatos, Imre, 115, 117, 148, 284 Laplace, Pierre-Simon, 10, 112 Lebesgue, Henri, 72, 85, 141 Lefschetz, Solomon, 157­158, 213 Legendre, Adrien-Marie, 65, 67, 87­89, 92, 94­99, 145, 149, 150, 152, 156, 234; Elements of Geometry, 87 Leibniz, Gottfried, 14, 83, 91, 102, 103, 113 Leipzig University, 133 Leonard, K. C. von, 148 Leonardo da Vinci, 51, 53 Lhuilier, Simon-Antoine-Jean, 146­149, 152, 154, 170, 174, 179, 180 Listing, Johann Benedict, 108, 118, 157, 164, 188, 247­250, 253 Little, Charles Newton, 188 London, England, 14, 18. See Royal Society of London London Mathematical Society, 132 lune, 92, 93 manifold, 214, 243­246, 252, 258­262, 265­268; with boundary, 244, 259, 262, 265 map coloring, 6, 7 Marinoni, Giovanni, 102 Marquis de Condorcet, 25 Mathematical Association of America, 142 May, Kenneth O., 131 Menelaus of Alexandria, 89; Sphaerica, 89 minimal criminal, 137, 138, 140­142