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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 90

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 90
THE HYPERBOLA.PROPOSITIO^N^ n. To determine the figure of the hyperbola from its equation.Resuming the equation 81 From which we find y- … If we make x=0, or assign to it any value less than A, thecorresponding value of y will be imaginary, showing that thecurve does not exist above or below the line AA. If we make x=zA, then 2/=±0,showing two points in the curve, oneat A, the other at A. If we give to x any value greaterthan Ay we…

Geometry, Analytic · Calculus

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