The book Elementary Projective Geometry was written by author Alfred Garside Pickford Here you can read free online of Elementary Projective Geometry book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Elementary Projective Geometry a good or bad book?
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= (f>, we must have tan (6 + a) tan (^ — a) = k, tan^ — tan^ a = ^ (1 — tan^ . Tan^ a), or tan^^ (1 +^tan"^a) = A; + tan^a; 1 — tan^ a ■•*-^^=tan^. (l-T + k tan^ a/ ' this gives two real and different, coincident, or imaginary double rays, according as 1 — tan^ a I 1 + A; tan^ a, I. E. As k^ — tan^ a. Projective Rows and Pencils 57 EXAMPLES. III. 1. A line KL parallel to AB cuts TA, TB at K, L, and P is taken on TA. By means of a common perspective row find Q on TB, such that {TBLQ} = {ATKP}. 2.... If K, L are the mid-points of TA, TB respectively, find a point Q on TB corresponding to any point P on AT, so that {TBLQ} may be equal to {ATKP}. Also prove that AP : PT as TQ : QB. 3. If K, K' and L, L' be corresponding pairs of points on two projective rows KL, K'L', prove that the locus of the intersection of KL' and K'L is a straight line ; and find where this line cuts the two rows. 4. If /e, Hn a pencil correspond to k\ V respectively in another pencil projective with the former one, prove that the join of the intersections of k, V and k', I passes through a fixed point.
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