Euler, 248–254; ref. to, 77, 96, 179, 180, 239, 241, 246, 250, 258, 259, 261, 262, 264, 265, 267, 268, 273, 278, 279, 280, 287, 314, 317, 334, 364, 365, 367, 374, 386, 387, 401.

Eulerian integrals, 280.

Eutocius, 61; ref. to, 45, 46, 54, 65.

Evolutes, 49, 191.

Exhaustion, method of, 26, 28, 33, 36, 42, 169.

Exponents, 134, 152, 160, 162, 187, 202, 241.

Factor-tables, 368.

Fagnano, 241.

Fahri des Al Karhi, 111.

Falsa positio, 92, 147.

Faraday, 398.

Favaro, XII.

Faye, 377.

Fermat, 173, 179–182; ref. to, 172, 173, 177, 198, 252, 264, 265, 367.

Fermat's theorem, 180, 252.

Ferrari. 145; ref. to, 144, 264.

Ferrel, 384; ref. to, 376.

Ferro, Scipio, 142.

Fibonacci. See Leonardo of Pisa.

Fiedler, 300, 312, 328.

Figure of the earth, 257, 292.

Finæus, 159.

Fine, XII.

Finger-reckoning, 63, 118.

Finite differences, 240, 242, 251, 270, 278, 343.

Fink, XII.

Fitzgerald, 394.

Flächenabbildung, 313.

Flamsteed, 218.

Floridas, 142, 144.

Flexure, theory of, 389.

Fluents, 205, 206.

Fluxional controversy, 227–233.

Fluxions, 200, 202–213, 333.

Focus, 49, 60, 169, 170.

Fontaine, 252, 254.

Forbes, 397.

Force-function, 395. See Potential.

Forsyth, XII., 327, 344, 362.

Four-point problem, 341.

Fourier, 281–284; ref. to, 174, 255, 351, 356, 367.

Fourier's series, 283, 338, 339, 367, 386.

Fourier's theorem, 282.

Fractions, Babylonian, 7; Egyptian, 13; Greek, 26, 64, 65; Roman, 78; Hindoo, 94; Middle Ages, 120, 124; decimal, 159, 160; sexagesimal, 7, 57, 65, 67, 126; duodecimal, 124, 126; continued, 159, 197, 252, 270. See Arithmetic.

Franklin, 327, 372.

Frantz, XIII.

Fresnel, 392.

Fresnel's wave-surface, 209, 314.

Frézier, 286.

Fricke, 354.

Friction, theory of, 382.

Frobenius, 325, 344, 345.

Frost, 315.

Froude, 381, 384.

Fuchs, 343; ref. to, 344, 345.

Fuchsian functions, 345, 360.

Fuchsian groups, 345.

Functions, definition of, 356; theory of, 268, 269, 345, 356–362; arbitrary, 262, 283. See Elliptic functions, Abelian functions, Hyperelliptic functions, Theta functions, Beta function, Gamma function, Omega function, Sigma function, Bessel's function, Potential.

Funicular polygons, 299.

Gabir ben Aflah, 115; ref. to, 127.

Galileo, 182; ref. to, 43, 139, 161, 168, 170, 171, 188.

Galois, 329.

Gamma function, 249.

Garbieri, 324.

Gases, Kinetic theory of, 401–403.

Gauss, 363–367; ref. to, 77, 158, 247, 248, 251, 264, 276, 291, 294, 302, 303, 304, 313, 314, 315, 317, 320, 324, 325, 239, 330, 333, 335, 343, 348, 350, 351, 357, 362, 373, 398.

Gauss' Analogies, 366.

Geber. See Gabir ben Aflah.

Geber's theorem, 116.

Geminus, 53; ref. to, 46, 50, 57.

Gellibrand, 165.

Genocchi, 365.