An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 123
of the other set. 170. When three triangles are in perspective two by tivo, andhave the same centre of perspective, their three axes of perspectiveare concurrent. Let ^i^iCi, A^BjO^, A3B3C3 be the three triangles having thecommon centre of perspective 0. Let Oj, 61,... denote the sides ofthe… … Therefore the lines joining their vertices are concurrent; that is,the lines joining the points 6263, 6361, 6162 respectively to the pointsC2C3, C3C1, C1C2 are concurrent. But the line joining the point 6263 to the point C2C3 is the axis ofperspective of the triangles A^B/J^, A3B3C3. Hence, the…
Geometry
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