Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 115
OTHER EXAMPLES. 1. Find or construct the curve repres<ented hy the equation3/2 _j.2^^_|_3^2_4^_-0. Whence ?/=—xztij—^x{x—2). If we make x=^0, we shall find y=0 at the same time, there-fore the curve passes through the origin A. In the original equation, if we make y=0 we shall have Whence x=^Qy… … ^—2a;(ar—2)=0, We shall have a;=0, and a;=2.Take ^6^=2, and through 6^ drawGIM parallel to the axis of Y, thepoint / is in the curve at its extremedistance in the direction of the axis ofAI is one diameter of the curve. CONSTRUCTION OF CURVES. 107 As AG-=^, take AR=^\, for the value of x, and…
Geometry, Analytic · Calculus
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