Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 131
form of theellipse and that all of the equations pertaining to it may bededuced directly from the corresponding equations deducedfor the ellipse by simply making a = b in those equations. 82. To deduce the equation of the tangent to the ellipse.Let P (x, y), P (x, y) be the points in which a… … Fig. 39. These three equations must subsist at the same time; hencesubtracting (3) from (2) and factoring, we have (/ - y) {y + y) = (x - x) (x + x) ; hence y - If V x + x y + /Substituting this value in (1) it becomes b^ x -\- Xa y-y ---IT (x — x). y + y Eevolving the secant line upward about the…
Geometry, Analytic
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