Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 205
oint of chords joiningthe ends of conjugate diameters of an ellipse. Let (V, y) be the middle point of any such chord. If (rr^j) are the coordinates of Pv ( ~~, ? -—1) will be thecoordinates of P2. ay. bx* x*~b y^^r Then x = ^ » and V* = 2 or (1) 2 bx = bxx — ayv and (2) 2 ay = ayx + bxv 188… … *-* b -bxa Fig. 93. Substituting these val-ues in (3), it reduces to a? ,y^_ 1a2 b2~2 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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