Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 37
existence of the circle. There is still a more general equation of the circle when thezero point is neither at the center nor in the circumference.The figure in the margin will fully illustrate. Let AB=c,^ BC==b. PutAP=x, or AP=zj:, and FMovFM==y, CM, CM, &c. each In the circle we observe… … Whence (x-cy+(y-iy=ji-- (1) In case CDM is the triangle, we put AF—x and FM=y. Then (x~cy+{b-yy=F^ (2) In case CDM is the triangle, we put AF=x, FM=y. Then (c—xy-{-(y—by=E^ (3) If CDM is the triangle, we put FM^y. Then (^c—xY-^{b—yY^R- (4) Equations (1), (2), (3), and (4), are in all respects…
Geometry, Analytic · Calculus
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