Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 205
us of the middle point of chords joiningthe ends of conjugate diameters of an ellipse. Let (x, ^) be the middle point of any such chord. If(x.y.^ are the coordinates of P,, {-^—^^ —^1 ^^i^l be thecoordinates 01 1^2 Then x^ = , and 1/ = ^ ; or (1) 2 bx = hx^ — ay^^ and (2) 2 ay^ = ay^ + hx^ 188… … ay hx Fig. 93. a Substituting these val-ues in (3), it reduces to ^ J- ^ — 1. o 70 7^* 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…
Geometry, Analytic
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