Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise. Intended chiefly for the use of junior students (1862)
Mulcahy, John, 1810?-1853 · Dublin Hodges, Smith · leaf 176
he theoremsabove referred to are as follow:— 1°. The stereographic projection of a circle (great or lesser),not passing through the centre of projection, is a circle. Let CC be the diameter of the sphere perpendicular to theplane of projection,and let P be the poleof the circle to be pro-jected, C… … 166 STEREOGRAPHIC PROJECTION. we consider the last-mentioned circle as the base of a cone, whosevertex is C, the triangle CDE will be the principal section ofthis cone (see Art. 114) (because its plane contains the line OP,which cuts the circular base perpendicularly at its centre), andas the plane…
Geometry -- Problems, exercises, etc · Geometry
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