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 99
ently greater thanDPQ, because QY is parallel to DX. This proves the enuncia-tion above given. 3°. In a given circle it is required to inscribe atrianglesothat its vertex shall be at a given point, that its base shall passthrough another givenpoint on the tangentdrawn at the fo rmer point,and that… … ADDITIONAL EXAMPLES ON THE THEORY OF POLARS. 89 to the tangents at the points Y, X should meet on the given tan-gent OE, the triangle XYE would be the triangle required.For, it would be a maximum (Lemma 8) amongst all trianglesinscribed in the triangle ABC (see figure), having their vertexatE, and…
Geometry -- Problems, exercises, etc · Geometry
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