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 82
es be drawn from the angles of a polygon of an oddnumber of sides to meet in a point, the continued products of thealternate segments so formed on the opposite sides are equal. (The figure represents a pen-tagon, but the proof will apply ingeneral.) Let O be the point throughwhich the transversals… … and EC EQCAC7 - AOC ; therefore, by compounding the ratios, =1- whioh provesthe . Poncelets demonstration depends on a principle of projectionwhich the reader will find in Chapter VII. of this work. 5°. The second Lemma of Art. 9 is only a particular case ofthe following general theorem due to…
Geometry -- Problems, exercises, etc · Geometry
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