Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 97
limit of the second member will be indeterminate. This would be neces-sary since we havemade no use of thefact that P2 must ap-proach Px along thecircle. Unless P2 ap-proaches Px alongsome curve, PXP2 willhave no limiting posi-tion. It will there-fore be necessary todetermine in the case of each… … Fig. 47. and (2) x2 + 2hx1 + h2 + y2 + 2 kyl + k2 = r2. Ch. VII, § 50J THE CIRCLE 81 Subtracting (1) from (2), we have 2 hxx + A2 + 2 kyt + k2 = 0, kor, transposing and solving for -, ill h_ 2 xx + ht h~ 2yi + k Substituting in the former equation of the secant PXPVwe see that y _ ,fi _ 2x^ + h x —…
Geometry, Analytic
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