Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 127
ersect in real points, c is real, and the limiting pointsare therefore imaginary; bnt if the circles intersect inimaginary points ± a V— 1, then there are two real limitingpoints {± a, o).* 82. The angle of intersection between two circles. — This is the angle between the tangents, one to each… … Fig. 92. BP = r„ Then 82 = r^^ + ^2^ _ 2 r^ r^ cos cf>. .. cos <^ r, + r, 2r,r, See note 7, appendix. THE CIRCLE 111 If the (D be given, x + if + 2Gc^x + 2 Y^y + C, = 0 . .and x + if + 2 G^^x + 2 F,?/ + C^ = 0 . . Then r^^ = G,^ + F,^ - C,, r^ = G/ + F/ - C^,.•.82 = (G,-G,)^ + (F,-F,)l (1)…
Geometry, Analytic
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