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Elements of analytical geometry and of the differential and integral calculus (1866)

Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 117

An illustration from Elements of analytical geometry and of the differential and integral calculus, 1866, leaf 117
ponding value of y, will be the ordinate through the focus. Under this supposition,we have, y2 = 2p X I = jp2; or, y = p. Hence, 2p = the parameter. 2. In the ellipse, the parameter of the transverse axisis ar third proportional to the axes (Bk. m.. Art. 11); inthe parabola, it is a third… … we have a simple construction for detennining points ofthe curve. Let ^JT, AYj be the co-or-dinate axes. The equation ofthe curve is, From the origin A, lay offa distance AB, on the nega-tive side of abscissas, equal to2p. Then, from A, lay off any distance, as AP, and drawPM perpendicular to AJi.…

Geometry, Analytic · Calculus

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