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| Heath T. — A History of Greek Mathematics, Vol. 2 |
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| Ïðåäìåòíûé óêàçàòåëü |
'Abdelmelik al-Shirazi ii. 128
'Aganis', attempt to prove parallel-postulate 358 ii.
'Attic' (or 'Herodianic') numerals 30—31
'Friendly' numbers 75
'Geometrical harmony' (Philolaus's name for cube) 85—86
'Herodianic' (or 'Attic') numerals 30—31
'Heron the Younger' ii. 545
'Horizon', use in technical sense by Euclid 352
'Linear' (of numbers) 73
'Linear' loci and problems 218—219
'Oblong' numbers 82—83 108 114
'Oblong' numbers, gnomons of 82—83
'Odd' number defined 70—71
'Odd' number defined, 'odd-even', 'odd-times-odd', numbers 71—74
'Odd' number defined, 1 called 'odd-even' 71
'Paradoxes' of Erycinus ii. 365—368
'Perfect' numbers 74—75
'Perfect' numbers, 10 with Pythagoreans 75
'Perfect' proportion 86
'Phaenomena' = observational astronomy 17 322 349
'Piremus' or 'peremus' in pyramid 126 127
'Plane' loci 218
'Plane' problems 218—219
'Platonic' figures (the regular solids) 158 162 294—295 296—297
'Side' and 'diameter-numbers' 91—93 112 153 308 380 ii.
'Solid' loci and problems 218 ii.
'Solid' loci and problems, Solid loci of Aristaeus 438 ii.
'Solid' numbers, classified 106—108
'Stadium,' 1/60th of 30° ii. 215
'Stigma,' name for numeral  , originally [ (digamma) 32
'Treasury of Analysis' 421 422 439 ii.
abacus 46—48
Abraham Echellensis ii. 127
Abu 'l Fath al-Isfahani ii. 127
Abu 'l Wafa al-Buzjani ii. 328 ii. ii.
Abu Bekr Muh. b. al-Hasan al-Karkhi see "al-Karkhi"
Abu Nasr Mansar ii. 262
Achilles of Zeno 275—276 278—280
Adam, James 305—307 313
Addition in Greek notation 52
Adrastus ii. 241 243 244
Aeetius 158—159 163 ii.
Agatharchus 174
Ahmes (Papyrus Rhind) 125 130 ii.
Akhmim, papyrus of ii. 543—545
Al-Chazini ii. 260—261
Al-Fakhri, by al-Karkhi 109 ii.
Al-Hajjaj, translator of Euclid 362
Al-Hajjaj, translator of Ptolemy ii. 274
Al-Kafi of al-Karkhi 111
Al-Karkhi, on sum of  109—110 111 ii. ii.
al-Ma'mun, Caliph 362
al-Mansur, Caliph 362
Albertus Pius ii. 26
Alexander Aphrodisiensis 184 185 186 222 223 ii. ii.
Alexander the 'Aetolian' ii. 242
Alexeieff ii. 324—325n.
Algebra, beginnings in Egypt ii. 440
Algebra, epanthema of Thymaridas 94—96
Algebra, geometrical 150—154
Algebra, geometrical, application of areas (q.v.) 150—153
Algebra, geometrical, scope of geometrical algebra 153—154
Algebra, hau-calculations ii. 440—441
Algebra, Pythagorean 91—97
Alhazen, problem of ii. 294
Allman, G.J. 134 183
Almagest ii. 274
Alphabet, Greek, derived from Milesian 33—34
Alphabet, Greek, derived from Phoenician 31—32
Alphabet, Greek, quasi-numerical use of alphabet 35—36n.
Alphabetic numerals 31—40 42—44
Amasis 4 129
Amenemhat I 122 III
Ameristus 140 141 171
Amyclas (better Amyntas) 320—321
Amyntas 320—321
an-Nairizi, comm. on Euclid 363 ii. ii. ii.
Analemma of Diodorus ii. 287
Analemma of Ptolemy ii. 286—292
Analysis, absent from Euclid's Elements 371—372
Analysis, already used by Pythagoreans 168
Analysis, defined by Pappus ii. 400
Analysis, supposed invention by Plato 291—292
Anatolius 11 14 97 ii. ii.
Anaxagoras, centrifugal force and centripetal tendency 172—173
Anaxagoras, explanation of eclipses 7 162 172
Anaxagoras, geometry 170
Anaxagoras, in Erastae 22 174
Anaxagoras, moon borrows light from sun 138 172 ii.
Anaxagoras, on perspective 174
Anaxagoras, tried to square circle 173 220
Anaximander 67 177
Anaximander, astronomy 139 ii.
Anaximander, distances of sun and moon 139
Anaximander, introduced gnomon 78 139 140
Anaximenes ii. 244
Anchor-ring see "Tore"
Anderson, Alex ii. 190
Angelo Poliziano ii. 26
Angle 'of a segment' and 'of a semicircle' 179
Angle, 'angle of contact' 178—179 ii.
Anharmonic property, of arcs of great circles ii. 269—270
Anharmonic property, of straight lines ii. 270 ii.
Anthemins of Tralles 243 ii. ii. ii. ii. ii.
Antiphon 184 219 221—222 224 271
Apastamba-Sulba-Sutra 145—146
Apelt, E.F. 330
Apelt, O. 181n. 182
Apices 47
Apollodorus, author of Chronica 176
Apollonius of Perga ii. 1 ii.
Apollonius of Perga, 'general treatise' ii. 192—193 ii.
Apollonius of Perga, 'General treatise', on book I of Euclid 358
Apollonius of Perga, arithmetic, 'tetrads' 40
Apollonius of Perga, arithmetic, continued multiplications 54—57
Apollonius of Perga, astronomy ii. 195—196
Apollonius of Perga, astronomy, A. and Tycho Bralie 317 ii.
Apollonius of Perga, astronomy, on epicycles and eccentrics ii. 195—196 ii.
Apollonius of Perga, astronomy, trigonometry ii. 253
Apollonius of Perga, comparison of dodecahedron and icosahedron 419—420 ii.
Apollonius of Perga, conics ii. 126—175
Apollonius of Perga, conics, conics obtained from oblique cone ii. 134—138
Apollonius of Perga, conics, conics obtained from oblique cone, asymptotes ii. 148—149
Apollonius of Perga, conics, conics obtained from oblique cone, construction of normals ii. 166—167
Apollonius of Perga, conics, conics obtained from oblique cone, focal properties (central conics) ii. 156—157
Apollonius of Perga, conics, conics obtained from oblique cone, harmonic properties ii. 154—155
Apollonius of Perga, conics, conics obtained from oblique cone, new names, parabola 150 167 ii.
Apollonius of Perga, conics, conics obtained from oblique cone, normals as maxima and minima ii. 159—167
Apollonius of Perga, conics, conics obtained from oblique cone, number of normals through point ii. 163—164
Apollonius of Perga, conics, conics obtained from oblique cone, prime property equivalent to Cartesian equation (oblique axes) ii. 139
Apollonius of Perga, conics, conics obtained from oblique cone, propositions giving evolute ii. 164—165
Apollonius of Perga, conics, conics obtained from oblique cone, rectangles under segments of intersecting chords ii. 152—153
Apollonius of Perga, conics, conics obtained from oblique cone, tangents ii. 140—141
Apollonius of Perga, conics, conics obtained from oblique cone, transformation of coordinates ii. 141—147
Apollonius of Perga, conics, text ii. 126—128
Apollonius of Perga, conics, text, arabic translations ii. 127
Apollonius of Perga, conics, text, characteristics ii. 132—133
Apollonius of Perga, conics, text, prefaces ii. 128—132
Apollonius of Perga, determinate section ii. 180—181
Apollonius of Perga, duplication of cube 262—263 ii.
Apollonius of Perga, on cochlias 232 ii.
Apollonius of Perga, on cochlias, 'sister of cochloid' 225 231—232
Apollonius of Perga, on cochlias, on irrationals ii. 193
Apollonius of Perga, on cochlias, on the burning-mirror ii. 194 ii.
Apollonius of Perga, on contacts ii. 181—185
Apollonius of Perga, on contacts, three-circle problem ii. 182—185
Apollonius of Perga, Plane Loci ii. 185—189
Apollonius of Perga, sectio rationis ii. 175—179
Apollonius of Perga, sectio spatii ii. 179—180 ii. ii.
Application of areas 150—153
| Application of areas, method attributed to Pythagoras 150
Application of areas, method attributed to Pythagoras, equivalent to solution of general quadratic 150—152 394—396
Approximations to  232—235 ii. ii.
Approximations to  (by means of 'side-' and 'diameter-' numbers) 91—93
Approximations to (Indian) 146
Approximations to  (Archimedes) ii. 51—52
Approximations to (Ptolemy) 45 62—63
Approximations to cube root (Heron) ii. 341—342
Approximations to surds (Heron) ii. 323—326 ii. ii.
Apuleius of Madaura 97 99
Archibald, R.C. 425n.
Archimedes 3 52 54 180 199 202 203n. 213 217 224—225 229 234 272 ii.
Archimedes, arithmetic, approximations to ii. 51—52
Archimedes, arithmetic, octads 40—41
Archimedes, arithmetic, octads, fractions 42
Archimedes, arithmetic, octads, value of 232—233 234 ii.
Archimedes, astronomy ii. 17—18
Archimedes, astronomy, on Aristarchus's hypothesis ii. 3—4
Archimedes, astronomy, sphere-making ii. 18
Archimedes, conics, propositions in 438—439 ii.
Archimedes, cubic equation solved by conics ii. 45—46
Archimedes, on Democritus 180 327
Archimedes, on Democritus, equality of angles of incidence and reflection ii. 353—354
Archimedes, on Democritus, equality of angles of incidence and reflection, integral calculus anticipated ii. 41—42 61 62—63 74 89—90
Archimedes, on Democritus, Lemma or Axiom of A. 326—328 ii.
Archimedes, on Democritus, on semi-regular solids ii. 98—101
Archimedes, on Democritus, triangle, area in terms of sides ii. 103
Archimedes, on Democritus, trisection of any angle 240—241
Archimedes, traditions ii. 16—17
Archimedes, traditions, engines ii. 17
Archimedes, traditions, general estimate ii. 19—20
Archimedes, traditions, mechanics ii. 18
Archimedes, works, catoptrica 444 ii.
Archimedes, works, cattle-problem 14 15 ii. ii. ii.
Archimedes, works, character of ii. 20—22
Archimedes, works, character of, lost ii. 23—25 103
Archimedes, works, character of, works extant ii. 22—23
Archimedes, works, liber assumptorum ii. 101—103
Archimedes, works, measurement of a circle ii. 50—56 ii.
Archimedes, works, mechanical works, titles ii. 23—24
Archimedes, works, mechanical works, titles, plane equilibriums ii. 75—81
Archimedes, works, on conoids and spheroids ii. 56—64
Archimedes, works, on floating bodies ii. 91—97
Archimedes, works, on floating bodies, problem of crown ii. 92—94
Archimedes, works, on spirals 230—231 ii. ii.
Archimedes, works, on the sphere and cylinder ii. 34—50
Archimedes, works, quadrature of parabola ii. 85—91
Archimedes, works, sand-reckoner ii. 81—85
Archimedes, works, text ii. 25—27
Archimedes, works, text, editions ii. 27
Archimedes, works, text, MSS ii. 26
Archimedes, works, the method ii. 20 21 22 27—34 ii. ii.
Archytas 2 170 212—216 ii.
Archytas, mechanics 213
Archytas, no mean proportional between n and n+1 90 215
Archytas, on means 85 86
Archytas, on music 214
Archytas, solution of problem of two mean proportionals 214 219 245 246—249 334 ii.
Argyrus, Isaac 224n. ii.
Aristaeus of Croton 86
Aristaeus, comparison of five regular solids 420
Aristaeus, solid Loci (conics) 438 ii. 118—119
Aristarchus of Samos 43 139 ii. ii.
Aristarchus of Samos, anticipated Copernicus ii. 2—3
Aristarchus of Samos, date ii. 2
Aristarchus of Samos, fractions in 43
Aristarchus of Samos, numbers in 39
Aristarchus of Samos, other hypotheses ii. 3 4
Aristarchus of Samos, treatise on sizes and distances of Sun and Moon ii. 1 3 4—15
Aristarchus of Samos, treatise on sizes and distances of Sun and Moon, trigonometrical purpose ii. 5
Aristonophus, vase of 162
Aristophanes 48 161 220
Aristotelian treatise on indivisible lines 157 346—348
Aristotherus 348
Aristotle 5 120 121
Aristotle, arithmetic, on Pythagoreans and numbers 67—69
Aristotle, arithmetic, on the gnomon 77—78 83
Aristotle, arithmetic, reckoning by tens 26—27
Aristotle, arithmetic, reckoning by tens, why 1 is odd-even 71
Aristotle, arithmetic, reckoning by tens, why 2 even and prime 73
Aristotle, astronomy, Pythagorean system 164—165
Aristotle, astronomy, Pythagorean system, on hypothesis of concentric spheres 329 335 ii.
Aristotle, astronomy, Pythagorean system, on Plato's view about the earth 314—315
Aristotle, geometry, curves and solids in A. 341
Aristotle, geometry, illustrations from 335 336 338—340
Aristotle, geometry, illustrations from, on parallels 339
Aristotle, geometry, illustrations from, on quadrature by lunes (Hippocrates) 184—185 198—199
Aristotle, geometry, illustrations from, on quadratures 184—185 221 223 224n. 271
Aristotle, geometry, illustrations from, proofs differing from Euclid's 338—339
Aristotle, geometry, illustrations from, propositions not in Euclid 340
Aristotle, geometry, on Plato and regular solids 159
Aristotle, mechanics 344—346 445—446
Aristotle, mechanics, 'Aristotle's wheel' ii. 347—348
Aristotle, mechanics, parallelogram of velocities 346
Aristotle, on first principles, definitions, postulates, axioms 336—338
Aristotle, on mathematical subjects 16—17
Aristotle, on origin of science 8
Aristotle, on the continuous and infinite 342—343
Aristotle, on the continuous and infinite, encomium on Democritus 176
Aristotle, on the continuous and infinite, on Hippocrates 22
Aristotle, on the continuous and infinite, on principle of exhaustion 340
Aristotle, on the continuous and infinite, on Zeno's paradoxes 272 275—277 278—279 282
Aristotle, on the continuous and infinite, proof of incommensurability of diagonal 91
Aristoxenus 24n. 66
Arithmetic (1) = theory of numbers 13—16
Arithmetic (1) = theory of numbers, early 'Elements of Arithmetic' 90 216
Arithmetic (1) = theory of numbers, systematic treatises, Nicomachus Introd. Ar. 97—112
Arithmetic (1) = theory of numbers, systematic treatises, Nicomachus Introd. Ar., Domninus ii. 538
Arithmetic (1) = theory of numbers, systematic treatises, Nicomachus Introd. Ar., Iamblichus, Comm. on Nicomachus 113—115
Arithmetic (1) = theory of numbers, systematic treatises, Nicomachus Introd. Ar., Theon of Smyrna 112—113
Arithmetic (2) practical arithmetic, originated with Phoenicians 120—121
Arithmetic (2) practical arithmetic, originated with Phoenicians, in primary education 19—20
Arithmetic mean, defined 85
Arithmetica of Diophantus 15—16 ii.
Arithmetical operations see "Addition" "Subtraction"
Arrow of Zeno 276 280—281
Aryabhatta 234
Asclepius of Tralles 99
Astronomy in elementary education 19
Astronomy in elementary education, as secondary subject 20—21
Athelhard of Bath, first translator of Euclid 362—364
Athenaeus 144 145
Athenaeus of Cyzicus 320—321
August, E.F. 299 302 361
Autolycus of Pitane 348
Autolycus of Pitane, relation to Euclid 351—352
Autolycus of Pitane, works on risings and settings 352—353
Autolycus of Pitane, works on the moving sphere 348—352
Auverus, C. ii. 26
Axioms = common notions in Euclid 376
Axioms, Aristotle on 336
Axioms, axiom of Archimedes 326—328 ii.
Babylonians, 'perfect proportion' 86
Babylonians, civilization of 8 9
Babylonians, sexagesimal fractions 29
Babylonians, system of numerals 28—29
Bachet, editor of Diophantus ii. 454—455 ii.
Bacon, Roger, on Euclid 367—368
Baillet, J. ii. 543
Baldi, B. ii. 308
Barlaam ii. 324n. ii.
Barocius ii. 545
Barrow, I., edition of Euclid 369—370
Barrow, I., edition of Euclid, on Book V 384
Bathycles 142
Baudhayana, S.S. 146
Baynard, D. ii. 128
Benecke, A. 298 302—303
Benedetti, G.B. 344 446
Bertrand, J. ii. 324n.
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