Unknown

441

surd conjugate, 129,417

surd equations, 124-126,150,154,

231, 233, 298-299, 308,

309,318-319

surds, 40,42,43,44,124-126,129-

130,231, 233, 234, 258-

259,309, 310, 322, 367-

368,371-372,376-379,417

symmetric functions, 25-27, 134,

193-199, 203, 242

Tartaglia, 126

Taylor expansion, 51-52, 66-67,

78 (2.5.18), 99, 109,219,

245 (1.1.12), 271,325,405

Tchebychef polynomials, 16, 17,

23,115 (3.8.22), 228 (7.5.10),

230,248-249,356 (7.2.4),

365, 369, 399

translation, 319

triangles

anglesof, 201 (6.4.2), 202 (6.4.6),

225 (7.4.11), 348, 380

area of, 155 (4.9.4), 237 (8.53),

320, 393, 418

perimeter of, 237

sides of, 237, 379

trigonometric functions, 3, 5, 14,

15, 16,39,40,46,47,94,

101, 102, 127-128, 137,

141-145, 215, 235, 237,

252, 254-257, 294, 299,

303, 309, 335, 339, 348,

349, 368, 369, 380, 385,

399.401

undetermined coefficients, 85

Vieta, 20

on unit circle, 101,115 (3.8.26),

188 (5.4.26,27), 191,237

(E.62), 295, 339, 415

symmetric functions of, 191-

204,342-347,350-351

see also arithmetic progres-

sion; cubits; geometric pro-

gression; harmonic pro-

gression; nonrational ze-

ros; quadratics, quartics;

rational zeros; real zeros;

roots of unity

zero polynomial, 2, 5, 244-245,
306 (4.6.8)
zeros, 2
common, 113 (3.8.4), 289
equally spaced, 238