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Analytical geometry for beginners (1905)

Baker, Alfred, 1848-1942 · Toronto : W.J. Gage · leaf 198

An illustration from Analytical geometry for beginners, 1905, leaf 198
d in the diagram of § 100. If e be the eccentricity of the conjugate hyperbola,evidently If jP„ F^ be its foci, CF{ =^CF^ = eb= Ja + b^^CFCF. The distance of its directrices from C is - = =^ ; and theii equations are ^= ± X y ^a 0same as those of the primary hyperbola. X yIts as\Tnptotes evidentlv… … />»/»• 1/1/The equation of the tangent at P is -^-—-=1; and therefore the equation of Cd, which is parallel to the tangent at P [§97, (1)], and passes through the . xx yy „ ^^ ^ T-, ^1 • ^ 7 , ongin, IS —r - ^ = 0. or ?/ = —. -x. For the point a, when Cd cuts the conjugate hyperbola, —2+^2 = 1,…

Geometry, Analytic

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