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 29
between this proposition and that given in the last Article. COPOLAR TRIANGLES. 23. As another example of the application ofthe principlecontained in Art. 20, we shall take the following proposition,due to Desargues: JP, // two triangles, ABC, ABC be such that the lines cl joining corresponding… … ANHARMONIC PROPERTIES OF THE CIRCLE. 1 9 then the anharmonic ratio A • PCAB = A • PCAB, each ofthese ratios being equal to O-PCAB (Art. 15) ; and therefore(Art. 20) the three intersections P, Q, R are in directum. Thefirst part of the proposition is therefore proved. To prove the converse, let CC…
Geometry -- Problems, exercises, etc · Geometry
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