Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 222
f the ellipse.Let fall BP, the perpendicular, on the base,and take G, the middle point between B andII, and pass a horizontal plane through thecone parallel to the base of the cone. This plane will cut the plane of the ellipse at the center C,and CD will be the minor axis. As C is the middle point… … X : 2y : : a : b. Or x=- (1) Also, AP^+PB^=ABK That is, (2a—xy-}-4y^==ABK The greater axis of the ellipse =V^^—iax-\-x^■•\-4j/-^. (2) 214 DIFFERENTIAL CALCULUS. We now require the value of GK. The perpendicular fromFto AH\^ b. From Fto GKis b—y. Therefore we have b—y : GK :-, b : 9,a.…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
![An illustration from Divina proportione : opera a tutti glingegni perspicaci e curiosi necessaria oue ciascun studioso di philosophia: prospettiua pictura sculptura: architectura: musica: e altre mathematice: suavissima: sotile: e admirabile doctrina consequira: e delecterassi: co[n] varie questione de secretissima scientia (1509)](https://img.insideoutlibrary.com/img/200/ia-divinaproportion00paci-100-222.webp)
