Smart, Edward Howard · London : Macmillian and Co. · leaf 152
Fig. 62a. This (Fig. 62a) is evidently true for the circle, forAZi.AZ2 = AY2.AY^, etc. It remains to prove that the relation is unaltered by pro-jection. Let small letters refer to the circle diagram and capitals, asin the figure, to its projection. 124 PROJECTIVE GEOMETRY Let V be the vertex of… … Fig. 6-26. Let j) be the length of the perpendicular from V on he.Then bx^.}) = twice A h\lx^ = iN. Vx^ sin SVa^j, and similarrelations hold for Ja^^, cx^ and CTg. From these, Vji^. ^ ^V^ • V^a ■ V^2 ^i ^V--^, -^i ^V-^.cajg . c«j cV-^. V^g. V.i-j sin cV.:^^ sin cVa^g . az^. az^ hx^. hx^ cy^.…
Geometry, Projective
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