Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 74
rtex. 5. The axis of the parabola is the diameter which passesthrough the focus. 6. The parameter to any diameter is the double ordinate whichpasses through the focus. 7. The parameter to the principal diameter is sometimes calledthe latus-rectum. PROPOSITION I. To find the equation of the curve.… … 66 ANALYTICAL GEOMETRY. is large, we have a parabola on a large scale, and when small, wehave a parabola on a small scale. By the definition of the curve, V is midway between F andthe line BH, and PF=PB, Put VD=x and PD=y, and operate on the right angledtriangle PDF. FD=x—\p, PB=x-\-\p—PF.…
Geometry, Analytic · Calculus
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