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 93
equire the fol-lowing Lemma:— LEMMA 6.—Given the base and the difference of the sides of atriangle, if a perpendicular bedrawn from either extremity ofthe base on the line bisectingthe vertical angle, its foot lieson the circumference of a givencircle. Let AB be the given base,andC the vertex of… … B ADDITIONAL EXAMPLES ON THE THEORY OF POLARS. 83 of the sides, and is therefore given. It is also evident that BD isbisected in O; and therefore the line joining 0 to M, the middleof the base, is parallel to AD, and equal to ^ • AD. The point Olies therefore on the circumference of a circle whose…
Geometry -- Problems, exercises, etc · Geometry
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