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| Heath T. — A History of Greek Mathematics, Vol. 2 |
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| Ïðåäìåòíûé óêàçàòåëü |
Euclid, mechanics 445—446
Euclid, mechanics, music 444—445
Euclid, mechanics, music, sectio canonis 17 90 215 444—445
Euclid, mechanics, optics 17—18 441—444
Euclid, mechanics, phaenomena 349 351—352 440—441 ii.
Euclid, mechanics, porisms 431—438
Euclid, mechanics, porisms, lemmas to ii. 419—424
Euclid, mechanics, Pseudaria 430—431
Euclid, mechanics, surface-Loci 243—244 439—440
Euclid, mechanics, surface-Loci, lemmas to ii.119—121 ii.
Euclid, Pappus on 356—357
Euclid, relation to predecessors 354 357
Euclid, stories of 25 354 357
Eudemus 201 209 222
Eudemus, history of Astronomy 174 329 ii.
Eudemus, History of Geometry 118 119 120 130 131 135 150 171
Eudemus, on Hippocrates's lunes 173 182 183—198
Eudoxus 24 118 119 121 320 322—324
Eudoxus, 'general theorems' 323—324
Eudoxus, discovered method of exhaustion 2 176 202 206 217 222 326 327—329
Eudoxus, discovered three new means 86
Eudoxus, new theory of proportion (that of Eucl. V. ii) 2 153 216 325—327
Eudoxus, on speeds, theory of concentric spheres 329—334 ii.
Eudoxus, phaenomena and mirror 322
Eudoxus, problem of two mean proportionals 245 246 249—251
Eugenius Siculus, Admiral ii. 293
Euler, L. 75n. ii. ii.
Euphorbus (=Pythagoras) 142
Eurytus 69
Eutocius 52 57—58 ii. ii. ii. ii. ii.
Exhaustion, method of 2 176 202 217 222 326 327—329
Exhaustion, method of, development of, by Archimedes 224 ii.
False hypothesis, Egyptian use ii. 441
False hypothesis, in Diophantus ii. 488 489
Fermat, P. 75n. ii. ii. ii. ii. ii.
Fermat, P., on Porisms 435
Fontenelle ii. 556
Fractions, Egyptian (submultiples except  ) 27—28 41
Fractions, Greek systems 42—41
Fractions, sexagesimal fractions, Babylonian 29
Fractions, sexagesimal fractions, Babylonian, in Greek 44—45
Galilei 344 446
Geeeponicus, Liber 124 ii. ii. ii.
Geminus 119 ii.
Geminus, attempt to prove parallel-postulate ii. 227—230
Geminus, encyclopaedic work on mathematics ii. 223—231
Geminus, introduction to Phaenomena ii. 232—234
Geminus, on arithmetic and logistic 14
Geminus, on divisions of optics 17—18
Geminus, on original steps in proof of Eucl. I.32 135—136
Geminus, on original way of producing the three conics ii. 111
Geminus, on parallels 358
Geminus, on Posidonius's Meteorologica ii. 231—232
Geodesy = mensuration (as distinct from geometry) 16—17
Geometric mean, defined (Archytas) 85
Geometric mean, defined (Archytas), no rational mean between consecutive numbers 90 215
Geometric mean, defined (Archytas), one mean between two squares (or similar numbers), two between cubes (or similar solid numbers) 89—90 112 201 297 400
Geometry, geometry in secondary education 20—21
Geometry, origin in Egypt 120—122
Georgius Pachymeres ii. 453 ii.
Gerbert (Pope Sylvester II) 365—367
Gerbert (Pope Sylvester II), geometry of 366 ii.
Gerhardt, C.J. ii. 360 ii.
Gherard of Cremona, translator of Euclid and an-Nairizi 363 367 ii.
Gherard of Cremona, translator of Euclid and an-Nairizi, of Menelaus ii. 252 ii.
Ghetaldi, Marino, ii. 190
Girard, Albert 485 ii.
Gnomon, gnomons of oblong numbers 82—83
Gnomon, gnomons of polygonal numbers 79
Gnomon, gnomons of square numbers 77—78
Gnomon, history of term 78—79
Gnomon, in application of areas 151—152
Gnomon, in Euclid 379
Gnomon, sun-dial with vertical needle 139
Gnomon, use by al-Karkhi 109—110
Gomperz, Th. 176
Govi, G. ii. 293n.
Gow, J. 38
Great Year, of Callippus and Democritus 177
Great Year, of Oenopides 174—175
Gregory, D. 360—361 440 441 ii.
Griffith, P.Ll. 125
Guenther, S. ii. 325 ii.
Guldin's theorem, anticipated by Pappus ii. 403
Halicarnassus inscriptions 32—33 34
Halley, E., editions of Apollonius's Conics ii. 127—128
Halley, E., editions of Apollonius's Conics and Sectio rationis ii. 175 179
Halley, E., editions of Apollonius's Conics, of extracts from Pappus ii. 360
Halley, E., editions of Apollonius's Conics, of Menelaus ii. 252 ii.
Halley, E., editions of Apollonius's Conics, of Serenus ii. 519
Halma, editor of Ptolemy ii. 274 275
Hammer-Jensen, I. ii. 300 ii.
Hankel, H. 145 149 288 369 ii.
Hardy, G.H. 280
Harmonic mean (originally 'sub-contrary') 85
Harpedonaptae, 'rope-stretchers' 121—122 178
Harun ar-Rashid 362
Hau-calculations (Egyptian) ii. 440—441
Hecataeus of Miletus 65 177
Heiben, J.L. 233n.
Heiberg, J.L. 184 187n. 188 192 196—197n. 315 361 ii. ii. 310 316 318 319 ii. ii. 543 553 555n.
Helceph 111
Hendecagon in a circle (Heron) ii. 259 ii.
Henry, C. ii. 453
Heptagon in a circle ii. 103
Heptagon in a circle, Heron's measurement of ii. 328
Heraclides of Pontus 24 ii.
Heraclides of Pontus, discovered rotation of earth about axis 316—317 ii.
Heraclides of Pontus, discovered rotation of earth about axis, and that Venus and Mercury revolve about sun 312 317 ii. ii.
Heraclitus of Ephesus 65
Heraclitus, mathematician ii. 192 ii. ii.
Hermannus Secundus ii. 292
Hermesianax 142n. 163
Hermodorus ii. 359
Hermotimus of Colophon 320—321
Hermotimus of Colophon, Elements and Loci 354
Herodotus 4 5 48 65 121 139
Heron of Alexandria 121 ii. ii.
Heron of Alexandria, arithmetic, fractions 42—44
Heron of Alexandria, arithmetic, fractions, approximation to cube root 64 ii.
Heron of Alexandria, arithmetic, fractions, approximation to surds ii. 51 ii.
Heron of Alexandria, arithmetic, fractions, indeterminate problems ii. 344 444—447
Heron of Alexandria, arithmetic, fractions, multiplications 58
Heron of Alexandria, arithmetic, fractions, quadratic equations ii. 344
Heron of Alexandria, Belopoeica 18 ii.
Heron of Alexandria, Belopoeica, Catoptrica 18 ii. ii. ii.
Heron of Alexandria, character of works ii. 307—308
Heron of Alexandria, character of works, list of treatises ii. 308—310
Heron of Alexandria, controversies on date ii. 298—307
Heron of Alexandria, Dioptra ii. 345—346
Heron of Alexandria, Dioptra, Pneumatica and Automata 18 ii. 310
Heron of Alexandria, geometry ii. 310—314
Heron of Alexandria, geometry, comm. on Euclid's Elements 358 ii.
Heron of Alexandria, geometry, definitions ii. 314—316
Heron of Alexandria, geometry, duplication of cube 262—263
Heron of Alexandria, geometry, proof of formula for area of triangle in terms of sides ii. 321—323
Heron of Alexandria, mechanics ii. 346—352
Heron of Alexandria, mechanics, on Archimedes's mechanical works ii. 23—24
Heron of Alexandria, mechanics, on Archimedes's mechanical works, on centre of gravity ii. 350—351 352
Heron of Alexandria, metrica ii. 320—343
Heron of Alexandria, metrica, (1) mensuration ii. 316—335
Heron of Alexandria, metrica, (2) divisions of figures ii. 336—343
Heron of Alexandria, metrica, (2) divisions of frustum of cone ii. 342—343
Heron of Alexandria, metrica, triangles ii. 320—323
Heron of Alexandria, metrica, triangles, circle and segments ii. 329—331
Heron of Alexandria, metrica, triangles, quadrilaterals ii. 326
Heron of Alexandria, metrica, triangles, regular polygons ii. 326—329
Heron of Alexandria, metrica, volumes ii. 331—335
Heron of Alexandria, metrica, volumes, five regular solids ii. 335
Heron of Alexandria, metrica, volumes, frustum of cone, sphere and segment ii. 334
| Heron of Alexandria, metrica, volumes, tore ii. 334—335
Heron of Alexandria, on water-clocks ii. 429 ii.
Heron of Alexandria, on water-clocks, Heron, teacher of Proclus ii. 529
Heron of Alexandria, relation to agrimensores ii. 303
Heron of Alexandria, relation to Ctesibius and Philon ii. 298—302
Heron of Alexandria, relation to Pappus ii. 299—300
Heron of Alexandria, relation to Posidonius and Vitruvius ii. 302—303
Heron of Alexandria, relation to Ptolemy ii. 303—306
Heronas 99
Hicetas 317
Hierius 268 ii.
Hieronymus 129
Hilal b. Abi Hilal al-Himsi ii. 127
Hiller, E. ii. 239
Hilprecht, H.V. 29
Hipparchus ii. 3 18 198 216 218
Hipparchus, catalogue of stars ii. 255
Hipparchus, date ii. 253
Hipparchus, discovery of precession ii. 254
Hipparchus, geography ii. 256
Hipparchus, on epicycles and eccentrics ii. 243 ii.
Hipparchus, on mean lunar month ii. 254—255
Hipparchus, trigonometry ii. 257—260 ii.
Hipparchus, work ii. 254—256
Hippasus 65 85 86 214
Hippasus, construction of 'twelve pentagons in sphere' 160
Hippias of Elis, inventor of quadratrix 2 171 182 219 225—226
Hippias of Elis, taught mathematics 23
Hippias of Elis, varied accomplishments, lectures in Sparta 24
Hippocrates of Chios 2 182 211
Hippocrates of Chios, elements as known to 201—202
Hippocrates of Chios, first writer of Elements 119 170 171
Hippocrates of Chios, on quadratures of limes 170 171 173 182 183—199 220 221
Hippocrates of Chios, proved theorem of Eucl. XII 2 187 328
Hippocrates of Chios, reduced duplication of cube to problem of finding two mean proportionals 2 183 200 245
Hippocrates of Chios, taught for money 22
Hippopede of Eudoxus 333—334
homer 5
Horsley, Samuel ii. 190 ii.
Hultsch, F. 204 230 349 350 ii. ii. ii. 319 ii.
Hunrath, K. ii. 51
Hunt, A.S. 142
Hypatia ii. 449 ii. ii.
Hypotenuse, theorem of square on 142 144—149
Hypotenuse, theorem of square on, Proclus on discovery of 145
Hypotenuse, theorem of square on, supposed Indian origin 145—146
Hypsicles, author of so-called Book XIV of Eucl. 419—420 ii.
Hypsicles, definition of 'polygonal number' 84 ii. ii.
Iamblichus 4 69 72 73 74 75 86 107 ii. 529
Iamblichus, comm. on Nicomachus 113—115
Iamblichus, property of sum of numbers 3n-2, 3n-1, 3n 114—115
Iamblichus, squares and oblong numbers as 'race-courses' 114
Iamblichus, works 113—114
Ibn al-Haitham, on burning-mirrors ii. 201 ii.
icosahedron 159
Icosahedron, discovery attributed to Theaetetus 162
Icosahedron, volume of ii. 335
Incommensurable, discovery of 65 90—91 154
Incommensurable, discovery of, proof of incommensurability of diagonal of square 91
Indeterminate analysis, first cases, right-angled triangles in 'side-' and 'diameter-' numbers 91—93 ii.
Indeterminate analysis, first cases, right-angled triangles in rational numbers 80 81
Indeterminate analysis, indeterminate equations, first degree ii. 443
Indeterminate analysis, indeterminate equations, in Heronian collections ii. 344 ii.
Indeterminate analysis, indeterminate equations, second degree ii. 443—444 see
Indeterminate analysis, rectangles with area and perimeter numerically equal 96—97
India, approximation to  146
India, rational right-angled triangles in 145—146
Indian table of sines ii. 253
Irrational, Democritus on 156—157 181
Irrational, discovered by Pythagoreans 65 90—91 154
Irrational, discovered by Pythagoreans, and with reference to 155 168
Irrational, extensions by Apollonius ii. 193
Irrational, extensions by Euclid 402—411
Irrational, extensions by Theaetetus 209—212
Irrational, Theodorus on 203—209
Isaac Argyrus 224n. ii.
Ishaq b. Hunain, translator of Euclid 362
Ishaq b. Hunain, translator of Menelaus ii. 261
Ishaq b. Hunain, translator of Menelaus and Ptolemy ii. 274
Isidorus Hispalensis 365
Isidorus of Miletus 421 ii. ii. ii.
Isocrates, on mathematics in education 21
Isoperimetric figures ii. 206—213 ii.
Jacob b. Machir ii. 252 ii.
Jacobus Cremonensis ii. 26—27
Jan, C. 444
Joachim Camerarius ii. 274
Joachim, H.H. 348n.
Johannes de Sacrobosco 368
Jordanus Nemorarius ii. 328
Jourdain, P.E.B. 283n.
Kahun Papyri 125 126
Kant 173
Keil, B. 34—35
Kepler ii. 20 ii.
Koechly, H.A.T. ii. 309
Koppa = Phoenician Qoph 32
Kubitschek, W. 50
Lagrange ii. 483
Laird, A.G. 306n.
Laplace 173
Larfeld, W. 31 33—34
Lawson 436
Leibniz 279 ii.
Lemma 373 ii.
Leodamas of Thasos 120 170 212 291 319
Leon 319
Leon (of Constantinople) ii. 25
Leonardo of Pisa 367 426 ii.
Lepsius, C.R. 124
Leucippus 181
Libri, G. ii. 556
Lines, classification of ii. 226
Livy ii. 18
Loci, 'solid loci' ii. 116—119
Loci, classification of 218—219
Loci, classification of, plane, solid, linear 218
Loci, loci on surfaces 219
Loftus, W.K. 28
Logistic (opp. to 'arithmetic'), science of calculation 13—16 23 53
Logistica speciosa and numerosa (Vieta) ii. 456
Loria, G. iv—v 350n. ii.
Luca Paciuolo 367 ii.
Lucas, E. 75n.
Lucian 75 77 99 161 ii.
Lucretius 177
Magic squares ii. 550
Magnus, Logistica 234—235
Mamercus or Mamertius 140 141 171
Manus, for number 27
Marinus 444 ii. ii.
Martianus Capella 359 365
Martin, T.H. ii. 238 ii.
Maslama b. Ahmad al-Majriti ii. 292
Massalia 8
Mastaba tombs 128
Mathematics, branches of applied mathematics 17—18
Mathematics, mathematics in Greek education 18—25
Mathematics, meaning 10—11
Mathematics, meaning, classification of subjects 11—18
Maurolycus ii. 262
Means, arithmetic, geometric, and subcontrary (harmonic) known in Pythagoras's time 85
Means, fourth, fifth, and sixth discovered, four more by Myonides and Euphranor 86
Means, fourth, fifth, and sixth discovered, perhaps by Eudoxus 86
Means, no rational geom. mean between successive numbers (Archytas) 90 215
Means, ten means in Nicomachus and Pappus 87—89
Means, ten means in Nicomachus and Pappus, Pappus's propositions 88—89
Mechanics, divisions of 18
Mechanics, divisions of, writers on, Archimedes ii. 18 ii. ii.
Mechanics, divisions of, writers on, Archytas 213
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