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A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 165

An illustration from A first course in projective geometry, 1913, leaf 165
cos 6:1. CARNOTS THEOREM 137 Now let a circle be projected orthogonally on to anotherplane. The centre of the circle projects into the centre C of theprojection; for the line at infinity of the one plane projectsinto the line at infinity of the other, and the centre is thepole of the line at… … Fio. 73. Further, a bisected ordinate pnp of this diameter projectsinto a corresponding bisected ordinate PNP, but PN =^7icos 6Also AN = an and NA = no!. Now, in the circle pn^ = an. na. 138 PROJECTIVE GEOMETRY .. Ill the projection cos- 6 = ^^ ^^ = -~^. ., cos 9 is the ratio of the minor to the…

Geometry, Projective

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