Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 163
sin (z? = § sin w. a ^ ^ 133. Problem. To find the area of an ellipse. Describe a circle on the majoraxis as a diameter, which we can con-ceive to be divided into any num-ber of equal parts. At any two ad-jacent points, as M, N, draw thecommon ordinates MP, NQ, andthrough P and P draw PH,… … MH_MH (§131) In the same way it may be shown that any other pair ofsimilar rectangles in the ellipse and circle have the ratio of 148 PLANE ANALYTIC GEOMETRY. 1) : a, and therefore the sum of all the rectangles in the ellipseis to the sum of all the corresponding rectangles in the circleSisb : a.…
Geometry, Analytic
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