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" M, N; prove that the area of the triangle CPM varies inversely as that of the triangle CPN. "
The Cone and Its Sections Treated Geometrically - Page 63
by S. A. Renshaw - 1875 - 148 pages
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Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ...

Charles Taylor - Conic sections - 1863 - 248 pages
...focus ; prove that the point of intersection of the joining lines lies in the normal at the point. 16. Two conjugate diameters of an ellipse are cut by the...CPM varies inversely as that of the triangle CPN. 17. P is any point on the ellipse. To any point Q on the curve AQ, A'Q are drawn meeting NP in .B,...
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A Geometrical Treatise on Conic Sections: With Numeous Examples

William Henry Drew - Conic sections - 1869 - 153 pages
...to the feet of the perpendiculars from the foci on the tangent, will be the greatest possible. 41. Two conjugate diameters of an ellipse are cut by the...CPM varies inversely as that of the triangle CPN. 42. Circles are described on S Y9 S* Y' as diameters, cutting SP, S'P respectively in Q, Q'. Prove...
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Conic Sections, Treated Geometrically

William Henry Besant - Conic sections - 1869 - 304 pages
...shew that the locus of the centres of all such circles is a straight line through the given point. 41. Two conjugate diameters of an ellipse are cut by the tangent at any point Pm M, N; prove that the area of the triangle CPM varies inversely as that of the triangle CPN. 42....
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Conic sections, treated geometrically

William Henry Besant - Conic sections - 1875 - 348 pages
...line through the given point. 41. Two conjugate diameters are cut by the tangent at any point P in Af, N; prove that the area of the triangle CPM varies inversely as that of the triangle CPN. 42. If P be any point on the curve, and AV be drawn parallel to PC to meet the conjugate CD in F, prove...
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