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 59
er of points is even there is an indeter-minate case, which will appear from the following theorem:— If a quadrilateral, PQRS, be inscribed in a given circle,so that three of its sides may pass through three given pointsin a right line, the fourth side will constantly pass throughanother fixed… … 48 PROBLEMS RELATING TO THE THEORY OF POLARS- For, draw QO parallel to the given line; join SO, and let it meet the given line in N. Then, the angle CNS = NOQ =SPQ (Euclid, B.iii. Prop. 22); therefore, the quadrilateral PANS is in- scribable in a circle, and CA-CN = CS-CP; but this latter rectangle…
Geometry -- Problems, exercises, etc · Geometry
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