Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 61
nd that ofifif is \ixx— xa= 0. These lines intersect in M (1: fi — 1: /t). Since X -10 1 — X n /t* = 0,1 p—l/ithe three points L, K, M lie in a straight line, as was to be proved. Dualistic to this theorem is the following: VIIl. If pt, ps, p6 are three straight lines through a point andp2, pt, pa… … Fia. 14 POINT AND LINE COORDINATES IN A PLANE 49 EXERCISES 1. Prove theorem IV. 2. Prove theorem VIII. 3. A triangle is so placed that its vertices P, Q, R are on the sidesAB, AC, and BC, respectively, of a fixed triangle and its sides PR andRQ pass through two fixed points in a straight line with…
Geometry, Analytic
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