Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 31
um of the threeangles would exceed two right angles: hence, at least twoangles of every triangle must be acute. THEOREM XV] II. I. A perpendicular is the shortest line that can be drawn froma given point to a given line. II. If any number of lines be drawn crom the same point, thosewhich arc… … BOOK J . 31 Of Triangles drawn: Then, AB will be shorter than either of the obliquelines, and AC will be less than AD First. Since the angle B, in the triangle ACB, is a righangle, the angle C will be acute (Th. xvii. Cor. 3) : and sincethe greater side of every triangle is opposite the greater…
Geometry · Plane trigonometry
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