Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 56
Scholium. Suppose one of these ordinates, as y, to representhalf the minor axis, that is, y=B. Then the corresponding valueof « will be A, and (2A—x) will be A, also. Whence the lastproportion will become y^ : B^=(2A—x)x : AK In respect to the third term we perceive that if AH is repre-sented by X,… … PROPOSITION IV. The area of an ellipse is the mean proportional between theareas of two circles, ike diameter of one being the major axis, andthe diameter of the other, the minor axis. Conceive GIT to be a practical as wellas a mathematical line; or rather, conceiveit be a ver^ narrow…
Geometry, Analytic · Calculus
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