A history of Greek mathematics - Wilbourhall.org

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586 ENGLISH INDEX
(Dionysodorus and Heron), ii.
218-19, ii. 334-5.
Torelli, J. ii. 27.
Transversal : Menelaus's theorem
for spherical and plane triangles
ii. 266-70 : lemmas relating to
quadrilateral and transversal
(Pappus) ii. 419-20.
'Treasury of Analysis' 421, 422,
439, ii. 399-427.
Triangle : theorem about sum of
angles Pythagorean 135, 143,
Geminus and Aristotle on, 135-6.
Triangle, spherical : called rpiTrXetpou
(Menelaus) ii. 262 : propositions
analogous to Euclid's on
plane triangles ii. 262-5 : sum of
angles greater than two right
angles ii. 264.
Triangular numbers 15, 69 : formation
76-7 : 8 times triangular
number + 1 = a square 84, ii.
516.
Trigonometry ii 5, ii. 198, ii. 257-9,
ii. 265-73, ii. 276-86, ii. 290-1.
Trisection of any angle : solutions
235-44 : Pappus on, ii. 385-6.
Tschirnhausen, E. W. v., 200.
Tycho Brahe 317, ii. 2, ii. 196.
Tzifra (= 0) ii. 547.
Ukha-thebt (side of base in pyramid)
126, 127.
Unit : definitions (Pythagoreans,
Euclid, Thymaridas, Chrysippus)
69.
Usener, H. 184, 188.
Valla, G. : translator of extracts
from Euclid 365, and from Archimedes
ii. 26.
Venatorius, Thomas Gechauff: ed.
princeps of Archimedes ii. 27.
Venturi, G. ii. 308.
Vieta 200, 223, ii. 182, ii.456, ii.480,
ii. 557.
Vigesimal system (of numerals) 26.
Vincent, A. J. H. 50, 436, ii. 308,
ii. 545, ii. 546.
Vitruvius 18, 147, 174, 213, ii. 1,
ii. 245 : Vitruvius and Heron,
ii. 302-3.
Viviani, V. ii. 261.
Vogt, H., 156 w„ 203 n.
Wescher, C. ii. 309.
Wilamowitz - Moellendorff, U. v.,
158 w., 245, ii. 128.
Xenocrates 24, 319 : works on
Numbers 319 : upheld 'indivisible
lines' 181.
Xenophon, on arithmetic in education
19.
Xylander (W. Holzmann) ii. 454-5,
ii. 545.
Yahya b. Khalid b. Barmak ii. 274.
Zamberti, B., translator of Euclid
365, 441.
Zeno of Elea 271-3: arguments on
motion 273-83.
Zeno of Sidon on Eucl. I. 1, 359, ii.
221-2.
Zenodorusii. 207-13.
Zero in Babylonian notation
O in Ptolemy 39, 45.
29
Zeuthen, H. G. 190, 206-9, 210-11,
398, 437, ii. 52, ii. 105, ii. 203,
ii. 290-1, ii. 405, ii. 444.
Zodiac circle : obliquity discovered
by Oenopides 138, 174, ii. 244.