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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 116

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 116
end in the direction of x negative, 3. Determine what curve is represented hy the equation y^-{-2xy—2x^—4y~x-\-l0=0. (1) From whence we deduce y=—x+2zhjSx^—3x—6. (2) Put the quantity under the radical equal to 0, and the corres-ponding values of x are —1, and -\-2, Construct the line BD… … 108 ANALYTICAL GEOMETRY. Because x=—1 or -\-2, under the radical, if we take AB=:2and A£J=—1, and through B and jEdraw the dotted lines pa-rallel to the axis of Y, we shall have the limits of the curve,and as BJ) is a diameter of the curve, one point in the curvemust be at B, and the other at D.…

Geometry, Analytic · Calculus

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