Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 34
oints A^ B, C\ and D are said to form aharmonic range. If parallel lines are drawn through the points A^ B, (7,and i> of a harmonic range,their intersections A\ B\ C\and D\ with any transversal,will also be a harmonic range. For, from plane geometry, ABBO ABBO Hence and AD AD A B C ^ 5^ DC DCBC… … y = mi + OT2 miij2 + m2i/imi + m2 1 + 2 3 2.2 + l(-4) _ 1 + 2 0, and the point of trisection is (|, 0). But if we wisli to find P, mi = 1, m2 = 2, y = 1 •5 + 2C- 3)_ 1 1 + 2 3 1 .2 + 2(- ■4)_ 9 1 + 2 and the other point of trisection is (— i, — 2). 18 ANALYTIC GEOMETRY [Ch. II, § 14 2. rind the…
Geometry, Analytic
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