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| Heath T.L. (ed.) — Thirteen Books of Euclid's Elements, Vol. 3 |
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| Предметный указатель |
Studemimd, W. I. 92n.
Subduplicate of any ratio found by Eucl. VI. 13 II. 216
Subtend, meaning and construction I. 249 283 350
Suidas I. 370 III. 438 525
Sulaiman b. 'Usma (or 'Uqba) I. 85 90
Superposition, apparently assumed by Aristotle as legitimate I. 226
Superposition, Bertrand Russell on I. 227 249
Superposition, Euclid's dislike of method of I. 225 249
Superposition, no use theoretically, but merely furnishes practical test of equality I. 227
Superposition, objected to by Peletarius I. 249
Superposition, used by Archimedes I. 225
Surface, alternative definition of, in Aristotle I. 170
Surface, classifications of surfaces by Heron and Geminus I. 170
Surface, composite, incomposite, simple, mixed I. 170
Surface, divisions or sections of solids are surfaces I. 170 171
Surface, homoeomeric (uniform) surfaces I. 170
Surface, in Euclid I. 169
Surface, loci on surfaces I. 329 330
Surface, plane surface see "Plane"
Surface, produced by motion of line I. 170
Surface, Pythagorean term for (colour, or skin) I. 169
Surface, spheroids I. 170
Surface, spiric surfaces I. 163 170
Surface, terms for, in Plato and Aristotle I. 169
Surface-loci of Euclid I. 15 16 330
Surface-loci of Euclid, Pappus' lemmas on I. 15 16
Susemihl, F. III. 523
Suter, H. I. 8n. 9n. 17n. 18n. 25n. 78n. 85—90 III.
Suvoroff, Pr. I. 113
Sylvester, J. III. 527
Synthesis see "Analysis and Synthesis"
Syrianus I. 30 44 176 178
Ta'rikh al-Hukama I. 4n.
Tacquet, Andre I. 103 105 111 II. 258
Taeittiriya-Samhita I. 362
Tannery, P. I. 7n. 37—40 44 160 163 221 223 224 225 232 305 353 II. 113 III. 5 524
Tartaglia, Niccolo I. 3 103 106 II. 47
Taurinus, F.A. I. 219
TAURUS I. 62 184
Taylor, H.M. I. 248 377—378 404 II. 22 29 56 75 102 227 244 247 272 III. 275 303 491—492 498
Taylor, Th. I. 259
Tetrahedron, regular II. 98
Tetrahedron, regular, problem of inscribing in given sphere, Euclid's solution III. 467—472
Tetrahedron, regular, problem of inscribing in given sphere, Pappus' solution III. 472—473
Thabit b. Qurra, translator of Elements I. 9n. 42 75—80 82 84 87 94
Thabit b. Qurra, translator of Elements, proof of I. 47 I. 364—365
Thales I. 36 37 185 252 253 278 317 318 319 II. 280
Thales on distance of ship from shore I. 304—305
Theaetetus I. 1 37 III.
Theaetetus, contributions to theory of incommensurables III. 3
Theaetetus, Eucl. X. 9 attributed to III. 3 30
Theaetetus, supposed to have discovered octahedron and icosahedron III. 438
Theaetetus, was the first to write a treatise on regular solids III. 438 525
Theodorus Antiochita I. 71
Theodorus Cabasilas I. 72
Theodorus Metochita I. 3
Theodorus of Cyrene, proved incommensurability of  ,  etc. up to  III. 1 2 522 524—525
Theodosius II. 37 III. 366 472
Theognis I. 371
Theon of Alexandria II. 43 109 117 119 149 152 161 186 190 234 235 240 242 256 262 311 322 412 III.
Theon of Alexandria, additions to VI. 33 (about sectors) II. 274—276
Theon of Alexandria, changes made by I. 46
Theon of Alexandria, character of changes by I. 54—58
Theon of Alexandria, edition of Elements I. 46
Theon of Alexandria, interpolated Porism to VI. 20 II. 239
Theon of Alexandria, interpolation in V. 13 and Porism II. 144
Theon of Alexandria, principles for detecting his alterations, by comparison of P, ancient papyri and "Theonine" mss. I. 51—53
Theon of Alexandria, Simson on "vitiations" by I. 46
Theon of Smyrna I. 172 357 358 371 398 II. 119 279 280 281 284 285 286 288 289 290 291 292 293 294 III. 263 273
Theorem and problem, "general" and "not-general" (or partial) theorems (Proclus) I. 325
Theorem and problem, distinguished by Amphinomus I. 125 128
Theorem and problem, distinguished by Carpus I. 127 128
Theorem and problem, distinguished by Euclid I. 126
Theorem and problem, distinguished by Menaechmus I. 125
Theorem and problem, distinguished by Speusippus I. 125
Theorem and problem, distinguished by Zenodotus, Posidonius I. 126
Theorem and problem, views of Proclus I. 127—128
Theorem and problem, views of Proclus and of Geminus I. 128
Theudius of Magnesia I. 117
Thibaut, B.F. I. 321
Thibaut, C., On Sulvasutras I. 360 363—364
Thompson, Thomas Perronet I. 112
| Thrasyllus II. 292
Thucydides I. 333
Thymaridas II. 279 285
Tibbon, Moses b. I. 76
Timaeus of Plato II. 97—98 294—295 363 III.
Tiraboschi I. 94n.
Tittel, K. I. 39
Todhunter I. I. 112 189 246 258 277 283 293 298 307 II. 7 22 49 51 52 67 73 90 99 172 195 202 204 208 259 271 272 300
Tonstall, Cuthbert I. 100
Tore I. 163
Transformation of areas I. 346—347 410
Trapezium, a theorem on area of parallel-trapezium I. 338—339
Trapezium, Euclid's definition his own I. 189
Trapezium, further division into trapezia and trapezoids (Posidonius, Heron) I. 189—190
Trapezium, name applied to truncated pyramidal numbers (Theon of Smyrna) II. 291
Treasury of Analysis I. 8 10 11 138
Trendelenburg, F.A. I. 146n. 148 149
Treutlein, P. I. 358—360
Triangle, "four-sided" triangle, called also "barb-like" I. 27 188
Triangle, construction of isosceles and scalene triangles I. 243
Triangle, Heron's proof of expression for area in terms of sides,  II. 87—88
Triangle, right-angled triangle which is half of equilateral triangle used for construction of tetrahedron, octahedron and icosahedron (Timaeus of Plato) II. 98
Triangle, seven species of I. 188
Triangular numbers II. 289
Trihedral angles, conditions of equality III. 311—312
Trihedral angles, symmetrical trihedral angles III. 312
Trimedial (straight line), first and second, corresponding to bimedial III. 257—258
Trinomial (straight line), extension from binomial III. 256
Triplicate, distinct from triple, ratio II. 133
Trisection of an angle I. 265—267
Unger, E.S. I. 108 169
Unit, connected etymologically by Theon of Smyrna and Nicomachus with solitary or rest II. 279
Unit, definitions of, by Thymaridas, "some Pythagoreans", Chrysippus, Aristotle and others II. 279
Unit, Euclid's definition that of the "more recent" writers II. 279
Vachtchenko-Zakhartchenko I. 113
Vailati, G. I. 144n. 145n.
Valerius Maximus I. 3
Valla, G., De expetendis et fugiendis rebus I. 73 98
van Pesch, J.G., De Procli fontibus I. 23sqq. 29n.
Van Schooten, Franz I. 108
van Swinden, J.H. I. 169 II.
Vatican MS. 190 (P) I. 46 47
Verona palimpsest I. 91
Veronese, G. I. 157 168 175 180 193—194 195 201 226—227 249 328 II. 126
Vertical (angles) I. 278
Vettius Valens III. 3
Viennese MS. (V) I. 48 49
Vieta, on angle of contact II. 42
Vitruvius I. 352
Vitruvius and Heron I. 20 21
Viviani, Vincenzo I. 107 401
Vogt, Heinrich I. 360 364 III.
von Pirckenstein, A.E. Burkh. I. 107
von Staudt, Ch. III. 276
Vooght, C.J. I. 108
Wachsmuth, C. I. 32n. 73
Walker, John II. 204 208 259
Wallis, John I. 103
Wallis, John on angle of contact ("degree of curvature") II. 42
Wallis, John, attempt to prove Post. 5 I. 210—211
Wallis, John, edited Comm. on Ptolemy's Harmonica I. 17
Weber (H.) and Wellstein (J.) I. 157
Weierstrass II. 124
Weissenborn, H. I. 78n. 92n. 94n. 95 96n. 97n.
Whiston, W. I. 111
Williamson, James I. 111 293
Witt, H.A. I. 113
Woepcke, F. I. 85n. 86 87 II. III. 255 256 258 259
Woepcke, F. on Pappus' commentary on Elements I. 25 66 77
Woepcke, F., discovered De divisionibus in Arabic and published translation I. 9
Xenocrates I. 268
Ximenes, Leonardo I. 107
Xylander I. 107
Yahya b. Khalid b. Barmak I. 75
Yahya b. Muh. b. 'Abdan b. Abdalwahid (Ibn al-Lubudi) I. 90
Yrinus = Heron I. 22
Yuhanna b. Yusuf b. al-Harith b. al-Bitriq al-Qass I. 76 87
Zamberti, Bartolomeo I. 98—100 101 104 106
Zeno the Epicurean I. 34 196 197 199 242
Zenodorus I. 26 27 188 333 II.
Zenodotus I. 126
Zeuthen, H.G. I. 15 139 141 146n. 151 355—356 360 363 387 398 399 III. 366
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