Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 99
e limit of the second member will be indeterminate. This would be neces-sary since wre havemade no use of thefact that P2 must ap-proach Px along thecircle. Unless P2 ap-proaches P1 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 + 2 hx1 + h2 + yf + 2 kyx + Jc2 = r2. Ch. VII, § 50J THE CIRCLE 81 Subtracting (1) from (2), we have 2 hxx + h2 + 2 %! + k2 = 0, kor, transposing and solving for -, - — — %%{-{- hh~ 2yx-\-k Substituting in the former equation of the secant P^Py we see that y _ ?/i _ ^ 2x^+h x —…
Geometry, Analytic
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