Page:A History of Mathematics (1893).djvu/425

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406
INDEX.
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, 4550; ref. to, 35, 37, 40, 54, 61, 66, 78, 105, 108, 115, 140, 153, 154.
Appel, 346.
Applied mathematics, 373403. See Astronomy, Mechanics.
Arabic manuscripts, 124128.
Arabic numerals and notation, 3, 73, 87, 102, 112, 127129, 159.
Arabs, 100117.
Arago, XI., 332, 392.
Arbogaste, 260.
Archimedes, 4045; 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, 6770; Platonists, 29; Euclid, 38, 70; Greek, 6377; Hindoo, 9092; Arabic, 106; Middle Ages, 119, 122, 123, 126, 130, 133, 134; Renaissance, 150, 151, 158161. 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, 212216; more recent researches, 253, 257, 262, 271274, 366, 373377. 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, 59; 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.