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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 133

An illustration from Plane and solid analytic geometry; an elementary textbook, 1905, leaf 133
om the focus. 7. Show that the circle of radius b, whose centre is at thefocus of an hyperbola, is tangent to the asymptote at the pointwhere it is cut by the directrix. 8. Show that the product of the two perpendiculars let fallfrom any point of an hyperbola on the asymptotes is constant. 116… … EiG. 03. simplest form, in the case of the hyj)erbola, is vy2 If the definitions of a and h are interchanged, using h torepresent the semi-transverse axis (which is here the realintercept of the hyperbola on the y-axis), the equationbecomes « « 1. The hyperbolas — — ^ = 1 and — — 4- = — 1, wliere a…

Geometry, Analytic

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