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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 86

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 86
both above and below the axis and thecos.m is the same to the same arc above and below, it followsthat the curve must be symmetrical above and below the axis. Scholium. If we take p for the unit of measure, that is, as-sume ^=1, then the general polar equation will become… … THE PARABOLA. 77 Hence, a parabola in which p=l will solve any quadraticequation by making c= VJB, JBF=b, then PM will give onevalue of the unknown quantity. To apply this to the solution of equations, we construct aparabola as here represented. Now suppose we require the valueof y> by…

Geometry, Analytic · Calculus

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