Projective geometry for use in colleges and schools (1911)
Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 78
project intothe points at infinity on the conic S. If imaginary, real or coincident before projection,their character is unaltered thereafter. 36. Any two lines can be projected orfJiogonally soas to contain a right angle. Let OP, OQ, be the given lines, and let OH, OK bethe bisectors of the anMes… … Fio. 33. Then lm = LM and OM = OMcos0= LM by (1)=:LMby(2). Hence LOM is half a right angle. Thus PoV = :riofht antrle. (2) 37. Example 1. If an ellipse he projected orthogonally into a circle,the centre of the ellipse projects into the centre of thecircle. For all chords through the centre O of the…
Geometry, Projective
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
