A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 74
ion.—Let CAB be the given triangle, whose side AB is 3. Since thesecond is to be li times as great as the first, the ratio of the areas is 2 : 3.Hence, V^ ■ V^:: AB (or 2) : x,the side of the re-quired triangle ho-mologous with side2 of the given tri-angle. Constructthe square roots of2 and 3, as… … 54 ELEMENTABY GEOMETRY. HFig. 95. THE AREA OF A CIRCXE. 113* TJieorem,—The area of a circle whose radius is r, is ;rr»i.e., 3.1416 times the square of its radius. III.—If we take a circle whose radius is r and circumscribe about it a squareABCD, we observe that the area of this square is 4?. Hence…
Geometry · Trigonometry
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