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A first course in analytical geometry (1905)

Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 134

An illustration from A first course in analytical geometry, 1905, leaf 134
hy = {krf. 5. Find the circle through the origin and the points of intersection ofthe circles x^ + ?/ + 2GiX + 2Fi?/+ Ci = 0,x2 + 2/2 + 2 G,x + 2 Y,y + C^ = 0.Ans. (Cg-Cj) (x2 + 2/)+2(GiC2-GoCj)x+2(FiC2-F2Ci)2/=0. 6. A point moves so that the square of its distance from the base ofan isosceles A =… … 117 O iV Fig. 94. P is any point on the circle, and C is the center.Now, in A OPC, CP = OP 4- OC - 2 OP . 00 cos POC.,. p^-2pp,cos(6-0,) + p,-r=0 , . . (1)This is the most general equation of the O in polar co-ordinates. Special Cases. (1) If ON coincide with OC, then ^^ = 0. . •. p2 _ 2 /opj cos ^…

Geometry, Analytic

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