Projective geometry for use in colleges and schools (1911)
Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 144
^Bg, whencethe proposition is evident. Corollary. Conversely, if two triangles AjB^Cjand AgBgCo he such that the lines joining correspondingvertices are concurrent and meet in O, tlicn thereexists a conic such that Aj is the Pole of B2C2, B^ ofCo A.,, Ci o/AoBo. Using the notation of the foregoing… … Fio. 53, It can easily be seen that oai . od;=ob; . oe;=oc;. of;. Take each = — p^, and it is plain that each vertex isthe pole of the opposite side of the other triangle withrespect to the circle, centre O and radius p. 14. Pascals Theorem. Let ABCDEF be six points situated on a conic. 124…
Geometry, Projective
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