Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 27
AE, BD, and AC II OX.Then AB = AC + BC - 2- AC- BC- cos ACB, •••^= V(a32- x^f + (^2 - Vif + ^(^2 - ^i) {1/2 - Vi) cos </>.If one point, say A, is at the origin, we have; — Case 1. d= V x^^ ij^. Case IL d = Vx/ -{- y^ -\- 2 x^ y^ cos <^. Case III. Polar co-ordinates. A (/3i, ^1) and B (pg,… … d = V[4 - (- 3) ]2 + [- 5 - (+ 6)]2 = V72 + 112 = \/l70. 2. Find a point equidistant from the three points (8, — 2), (3, 5),(3, - 4). Suggestion. — Let (cc, y) be the point. Then (a; - 8)2 + (y + 2)2 = {x -Sf + (y - 5)2 = (x - Sy + (y +4)2,whence x and y can be found. * The most important formulae…
Geometry, Analytic
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