Abacists, 126.

Abacus, 8, 13, 63, 79, 82, 119, 122, 126, 129.

Abbatt, 334.

Abel, 347, 348; ref. to, 146, 279, 291, 312, 328, 336, 337, 350, 353, 371.

Abelian functions, 292, 312, 328, 346, 348, 349, 352, 355–357, 369.

Abelian integrals, 350, 379.

Abel's theorem, 352.

Absolute geometry, 301.

Absolutely convergent series, 335, 337, 338.

Abul Gud, 111; ref. to, 112, 113.

Abul Hasan, 115.

Abul Wefa, 110; ref. to, 112, 113.

Achilles and tortoise, paradox of, 27.

Acoustics, 262, 270, 278, 386.

Action, least, 253, 366, 401; varying, 292, 318, 379.

Adams, 375; ref. to, 214.

Addition theorem of elliptic integrals, 252, 350, 396.

Adrain, 276.

Æquipollences, 322.

Agnesi, 260.

Agrimensores, 80.

Ahmes, 10–15; ref. to, 17, 18, 53, 74.

Airy, 375; ref. to, 383.

Al Battani, 109; ref. to, 110, 125.

Albertus Magnus, 134.

Albiruni, 111; ref. to, 102, 104.

Alcuin, 119.

Alembert, D'. See D'Alembert.

Alexandrian School (first), 34–54; (second), 54–62.

Alfonso's tables, 127.

Algebra: Beginnings in Egypt, 15; early Greek, 73; Diophantus, 74–77; Hindoo, 93–96; Arabic, 107, 111, 115; Middle Ages, 133, 135; Renaissance, 140, 142–150, 152; seventeenth century, 166, 187, 192; Lagrange, 267; Peacock, 284; recent, 315–331; origin of terms, 107, 115. See Notation.

Algebraic functions, 346; integrals, 377.

Algorithm, origin of term, 106; Middle Ages, 126, 129.

Al Haitam, 115; ref. to, 112.

Al Hayyami, 112; ref. to, 113.

Al Hazin, 112.

Al Hogendi, 111.

Al Karhi, 111, 113.

Al Kaschi, 114.

Al Kuhi, 111; ref. to, 112.

Allégret, 377.

Allman, IX., 36.

Al Madshriti, 115.

Almagest, 56–58; ref. to, 105, 109, 127, 134, 136, 140.

Al Mahani, 112.

Alphonso's tables, 127.

Al Sagani, 111.

Alternate numbers, 322.

Ampère, 394; ref. to, 361.

Amyclas, 33.

Analysis (in synthetic geometry), 30, 39; Descartes', 186; modern, 331–334.

Analysis situs, 226, 315.

Analytic geometry, 185–189, 191, 193, 240, 287, 307–315.