586
ENGLISH INDEX
(Dionysodorus and Heron), ii.
218-19, ii, 384-5.
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 rpinXet-
pov (Menelaus) ii. 262 : proposi
tions analogous to Euclid’s on
plane triangles ii. 262-5 : sum of
angles greater than two right
angles ii. 264.
Triangular numbers 15, 69 : forma
tion 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 Archi
medes 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.
VLviani, V. ii. 261.
Vogt, H., 156 203 n.
Wescher, C. ii. 309.
Wilamowitz - Moellendorff, U. v.,
158 n., 245, ii. 128.
Xenocrates 24, 319: works on
Numbers319 : upheld ‘indivisible
lines’ 181.
Xenophon, on arithmetic in educa
tion 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.
Zenodorus ii. 207-13.
Zero in Babylonian notation 29:
O in Ptolemy 39, 45.
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.
