Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 142
they are the axes ? Why ? 103. The locus of the middle points of a system of parallel chords. Theorem. The locus of the middle points of a system ofjmrallelchords of any conic is adiameter of the conic. Let y = mx + A. bethe equation of anyline meeting the conicin the points Pi and P.,-If the conic… … 126 . LOCI OF SECOND ORDER. [Chap. VII. of the chord P1P2 is given by the equation „j ^1 ~l~ ^2 But the sum of the roots of (B) is Hence, and since the middle point is on the chord,y = mx -\- k = ahn^ + 6^ Therefore, whatever value is given to Tc, the coordinates of themiddle point, x and y,…
Geometry, Analytic
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