Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 168
o from the fact that the tan-gents are special cases of the system of parallel chords. 6. The tangent at the end of a diameter of the parabolais parallel to the system of chords ivhich the diameter bisects. 7. The area of the parallelogram formed by tangents atthe ends of conjugate diameters of a… … Fig. 82. The sides of the parallelogram are evidently 2 a^ and 2 V,From C drop a perpendicular CM on AB. Its length isthe distance from the origin to the line h^x^x + o^yiy = ^^^^ or (by [17])CM= But the area of the parallelogram 2 OMx AB=2 OMx P^K,^. 2 ^252 = 4. ah. 152 ANALYTIC GEOMETRY [Ch. XI,…
Geometry, Analytic
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