Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 207
of the middle point of chords joiningthe ends of conjugate diameters of an ellipse. Let (.V, y) be the middle point of any such chord. If (.X\V\) are tne coordinates of Pr ( ~ ?^\ —) will be thecoordinates of P2. Xl b Vl+ n Then x = ^ , and y = - 2 * 2 or (1) 2 bx = bxx — ayv and (2) 2 ay = ayx +… … bx ■ay. .ay bx Fig. 93. Substituting these val-ues in (3), it reduces to 10. Find the locus of the vertex of a triangle whosebase is a line joining the foci and whose sides are parallelto two conjugate diameters. 11. Find the locus of the middle point of chordsdrawn through a fixed point in the (a)…
Geometry, Analytic
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