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Plane and solid analytic geometry; an elementary textbook (1905)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 97

An illustration from Plane and solid analytic geometry; an elementary textbook, 1905, leaf 97
ould be neces-sary since we havemade no use of tliefact that p2 must ap-proach P^ along the-^Y circle. Unless P^^ ap-proaches P^ alongsome curve, P^P^ ^villhave no limiting posi-tion. It will there-fore be necessary todetermine in the case of each curve the value of the kexpression -• In the case… … Ch. VII, § 50J THE CIRCLE 81 Subtracting (1) from (2), we have 2 hx^ + 1<? + 1 ky^ + /c2 = 0, hor, transposing and solving for -, /i h~ 2y^ + kSubstituting in the former equation of the secant PiP^^we see that y - y^ ^ _ 2x^-{-h X — x^ 2y^ + k is another form of its equation in the circle tP -\-…

Geometry, Analytic

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