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Singular solutions, 226, 265, 277.

Sluze, 189; ref. to, 222, 224.

Smith, A., 381.

Smith, H., 369, 370; ref. to, XIII., 353, 372.

Smith, R., 242.

Sohnke, 353.

Solid of least resistance [Prin. II., 25], 215.

Solitary wave, 383.

Somoff, 381.

Sophist School, 23–29.

Sosigenes, 81.

Sound, velocity of, 270, 278. See Acoustics.

Speidell, 165.

Spherical Harmonics, 247.

Spherical trigonometry, 56, 115, 280, 294.

Spheroid (liquid), 384.

Spirals, 42, 60, 237.

Spitzer, 333.

Spottiswoode, 325; ref. to, XII., 292.

Square root, 65, 94, 159.

Squaring the circle. See Quadrature of the circle.

Stahl, 306.

Star-polygons, 22, 135, 156.

Statics, 44, 182. See Mechanics.

Statistics, 340.

Staudt, von. See Von Staudt.

Steele, 381.

Stefano, 382.

Steiner, 295, 296; ref. to, 293, 297, 298, 308, 311, 312, 320, 348, 357.

Stereometry, 31, 33, 38, 168.

Stern, 357, 365.

Stevin, 160; ref. to, 134, 162, 182.

Stevinus. See Stevin.

Stewart, 290.

Stifel, 151; ref. to, 149, 151, 155, 162.

Stirling, 244.

Stokes, 381; ref. to, 339, 382, 383, 386, 388, 390, 393, 398.

Story, 306.

Strassmaier, IX.

Strauch, 334.

Strings, vibrating, 242, 255, 262.

Stringham, 306.

Strutt, J. W., 386. See Rayleigh.

Struve, 366.

Sturm, J. C. F., 330; ref. to, 178, 282, 379, 381.

Sturm, R., 296.

Sturm's theorem, 330.

St. Vincent, Gregory, 190, 197.

Substitutions, theory of, 292.

Surfaces, theory of, 250, 287, 295, 299, 309, 310, 314.

Suter, X.

Swedenborg, 274.

Sylow, 330; ref. to, 350.

Sylvester, 326; ref. to, XIII., 216, 296, 310, 311, 312, 319, 324, 325, 328, 330, 341, 361, 368, 370, 378, 396.

Sylvester II. (Gerbert), 120–124.

Symmetric functions, 250, 328, 330.

Synthetic geometry, 293–307.

Synthesis, 30, 31.

 

Taber, 324.

Tabit ben Korra, 108; ref. to, 105.

Tait, 283, 319, 381, 388, 400.

Tangents, in geometry, 62, 173, 186; in trigonometry, 110, 141, 142.

Tangents, direct problem of, 198, 223; inverse problem of, 169, 189, 220, 222, 223.

Tannery, 343; ref. to, 362.

Tartaglia, 143–145; ref. to, 152, 153.

Tautochronous curve, 191.

Taylor, B., 242; ref. to, 234, 255.

Taylor's theorem, 243, 268, 269, 333, 342.

Tchebycheff, 368.

Tchirnhausen, 241; ref. to, 224, 226, 264, 328.

Tentative assumption, 75, 92. See Regula falsa.

Thales, 17, 18; ref. to, 16, 20, 21.

Theætetus, 33; ref. to, 35, 36, 70.

Theodorus, 70; ref. to, 29.

Theodosius, 54; ref. to, 108, 125, 127.

Theon of Alexandria, 61; ref. to, 37, 51, 55, 65, 82.

Theon of Smyrna, 55, 58, 72.

Theory of equations. See Equations.

Theory of functions, 268, 269, 344, 345, 346, 347–362. See Functions.

Theory of numbers, 55, 76, 95, 108, 119, 131, 178–182, 252, 264, 280, 362–372.

Theory of substitutions, 329, 364.