Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 206
Tins expression c;ui be iriveii a remarkably simple fMiiii liy iiitroduciiiir ml duly the ordinates _//i = ./•,-/4 . ./;; =(.,•] -^ 2 A./-)-/l/. ImU alsM the iirdinate //j midway lietween Vi and ./;,.whose abscissa is .-i -^ Ar. KT ^^ c have : Vi -f 4 //.. 4- V, = [.•,- -T- 4(r, - If)- - (.-1 -r -1… … We find therefore: A = I Ax(?/i + 4?/2 + 2/3). This formula holds not only when the vertex of the parabola is at theorigin, but also when it is at any point(h, k), provided the axis of the parabolais parallel to Oy. For (Fig. 77), to find the area underthe arc F1P2P3 we have only to add tothe…
Geometry, Analytic
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