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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 233

An illustration from Plane and solid analytic geometry, 1897, leaf 233
t; we have CN^CRiCos <^.But CN = xi and CRi = a. .*. Xj = a cos <^. 218Also, But, by § 108, PLANE ANALYTIC GEOMETRY. NRi=CRi sin <^= a sin <fi. .. Yi = b sin <^.The required relations are, therefore, dropping the suffixes. X = a cos (|),y = b sin <j). [41] y^_ The two equations… … —X Fig. 9G. THE ELLIPSE. 219 Let CPi and CQi be two conjugate semi-diameters,/_ NCRi = ^, the eccentric angle of P^ and A NCSi = <^,the eccentric angle of Qi. Then, if the coordinates of P^ are(xi, yi) and those of Qj are (xo, y2), the equation of CPi is yi Xi ya y = — X. Xo mi = ^yi b sm <^…

Geometry, Analytic

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