§ 2. Projections and Erections. Definitions and main propositions Application to the sum of two angles § 3. Extension to three or more angles. 345-348. Ratios of sum of three angles . 254-256 256, 257 258, 259 261-264 357-360. Ratios of multiple angle in homogeneous series 361-363. Power of ratio in terms of ratios of multiple angles. 268-270 270-276 277-280 Geometrical trisection of any angle 402-407. Ratios of particular angles by general formulæ 299-302 303-306 307-315 315-318 § 2. Trigonometrical factorisation 514-519. 525, 526. Endless factorisation of trigonometrical functions General nature of discussion 561, 562. Application to errors 399-401 401-406 406-410 410-412 412, 413 589-593. Symbolic definition and use of imaginaries 421-423 423-426 426-429 617-624. Expansions of cos no and sin ne in powers of cos 0 430, 431 636, 637. and sin : (n any value) 655-659. The uses of the exponential expressions for the cosine and sine 445, 446 446-451 451-453 453-455 455-457 457-459 459-461 461-465 465-471 685-687. General expression for vector-quotients 688-690. Multiplication of vector-quotients is distributive 695-703. Vector-quotients expressed as complex numbers |