Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 105
pparallelogram CHAD, and the tan.m=— Hence the parallel- A B_ogram is equal ~^*~^j—\^B, which is the value also of all the other parallelograms, as CQ, CP, &c. Scholium. When the asymptotes and any point in the curveare given, other points may be determined by the equation. For instance, let… … m ANALYTICAL GEOMETRY. That is, let the numerical value of pP be equal to —-, then b P will be a point in the curve — and thus any other point may be found when the distance along the asymptote is given. PROPOSITION XI. To find the equation of a tangent line to the hyperhola referred10 its center…
Geometry, Analytic · Calculus
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