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Elements of analytical geometry and the differential and integral calculus (1856)

Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 54

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 54
(A^—x^)^=B, and this value substituted B^ 2^2 in the last equation, gives y=dz Whence is the A A measure of the parameter of any ellipse, by Def. 10. PROPOSITION II. Every diameter is bisected in the center. Let X, and y, be the co-ordinates of the point D, and x\ y\the co-ordinates of the point… … Ja^A^+B^ Ja^A^+B- AB , aAB Ja^A-+B^ Ja^A^+B^ These equations show that the co-ordinates of the point Dyare the same as those of the point D\ except opposite in signs.Hence UB is bisected at the center.4

Geometry, Analytic · Calculus

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