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
imilar to each other, and similarly 1 N. situated. But As front is to Bs as 5 to 3 ; bow I X much more land has A than B ?° p ^92 Ans. 2| times as much. AREAS OF SIMILAR TRIANGLES. 53 Ex. 2. In order that one triangle may be similar to and 4 times asgreat as another, how must any sideof the first… … 112. Theore^n.—The homologous sides of similar triangles arcto each other as the square roots of their areas. This theorem is involved in the theorem that the areas of similar trianglesare to each other as the squares of their homologous sides. It is illustrated inthe preceding examples. Ex.…
Geometry · Trigonometry
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