Analytical Society (in Cambridge), 283.

Anaxagoras, 18; ref. to, 28.

Anaximander, 18.

Anaximenes, 18.

Angeli, 185.

Anger, 375.

Anharmonic ratio, 178, 291, 297, 306.

Anthology, Palatine, 73, 120.

Antiphon, 26; ref. to, 27.

Apices of Boethius, 82; ref. to, 63, 103, 119, 126, 129.

Apollonian Problem, 50, 154, 188.

Apollonius, 45–50; ref. to, 35, 37, 40, 54, 61, 66, 78, 105, 108, 115, 140, 153, 154.

Appel, 346.

Applied mathematics, 373–403. See Astronomy, Mechanics.

Arabic manuscripts, 124–128.

Arabic numerals and notation, 3, 73, 87, 102, 112, 127–129, 159.

Arabs, 100–117.

Arago, XI., 332, 392.

Arbogaste, 260.

Archimedes, 40–45; ref. to, 2, 35, 37, 39, 45, 47, 49, 50, 54, 61, 65, 73, 78, 90, 105, 108, 140, 144, 169, 173, 182.

Archytas, 23; ref. to, 29, 31, 32, 43.

Areas, conservation of, 253.

Arenarius, 65.

Argand, 317; ref. to, 264.

Aristæus, 34; ref. to, 46.

Aristotle, 34; ref. to, 9, 17, 27, 43, 61, 68, 125.

Arithmetic: Pythagoreans, 20, 67–70; Platonists, 29; Euclid, 38, 70; Greek, 63–77; Hindoo, 90–92; Arabic, 106; Middle Ages, 119, 122, 123, 126, 130, 133, 134; Renaissance, 150, 151, 158–161. See Numbers, Notation.

Arithmetical machine, 220, 284.

Arithmetical triangle, 196.

Armemante, 313.

Arneth, X.

Aronhold, 327.

Aryabhatta, 86; ref. to, 88, 91, 98.

Aschieri, 305, 306.

Assumption, tentative, 75, 92. See Regula falsa.

Astrology, 155.

Astronomy: Babylonian, 8; Egyptian, 10; Greek, 18, 24, 32, 39, 51, 56; Hindoo, 86; Arabic, 100, 101, 105, 115; Middle Ages, 127; Newton, 212–216; more recent researches, 253, 257, 262, 271–274, 366, 373–377. See Mechanics.

Athelard of Bath, 125; ref. to, 135.

Athenæus, 32.

Atomic theory, 382.

Attalus, 46.

Attraction, 277. See Gravitation, Ellipsoid.

August, 296.

Ausdehnungslehre, 320, 321, 378.

Axioms (of geometry), 30, 37, 38, 281, 300, 315.

Babbage, 283, 356.

Babylonians, 5–9; ref. to, 19, 51.

Bachet de Méziriac. See Méziriac.

Bachmann, 371; ref. to, 365.

Bacon, R., 134.

Baker, Th., 113.

Ball, Sir R. S., 378.

Ball, W. W. R., X., 217.

Ballistic curve, 279.

Baltzer, R., 314; ref. to, 302, 325.

Barbier, 341.

Barrow, 198; ref. to, 173, 202, 203, 221, 227.

Basset, 380, 382.

Battaglini, 306.

Bauer, XII.

Baumgart, XI.

Bayes, 340.

Beaumont, XI.

Beaune, De. See De Beaune.

Bede, the Venerable, 118.

Beer, 392.

Beha Eddin, 114.

Bellavitis, 322; ref. to, 300, 304, 317.

Beltrami, 304, 305; ref. to, 315.

Ben Junus, 115.

Berkeley, 236.

Bernelinus, 122.

Bernoulli, Daniel, 238; ref. to, 255, 262, 386, 401.

Bernoulli, Nicolaus (born 1695), 238.

Bernoulli, Nicolaus (born 1687), 239, 251, 269.