 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 490 sider
...of an inscribed rectangle inclose a rhombus. Ex. 1067. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 1068. Two rectangles are similar if two adjacent sides are... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 sider
...equal respectively to two angles of the other. PROPOSITION XIV. THEOREM 288. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. BA ~ & Given the triangles ABC and A'B'C',... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 328 sider
...of an inscribed rectangle inclose a rhombus. Ex. 1067. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 1068. Two rectangles are similar if two adjacent sides are... | |
 | 1913 - 396 sider
...one If two triangles have their homologous sides proportional they are similar If two triangles have an angle of the one equal to an angle of the other their areas are to each other as the products of the sides including the equal angles The area of a... | |
 | Queensland. Department of Public Instruction - 1914 - 284 sider
...is half that of the square oircumBCribed about the same circle. 8. Prove that if two triangles have an angle of the one equal to an angle of the other arxcl the sides about these angles proportional the triangles will be similar. 9. Two circles intersect... | |
 | John Wesley Young, Albert John Schwartz - 1915 - 250 sider
...to an acute angle of the other. PLANE GEOMETRY 410. THEOREM. Two triangles are similar, if they have an angle of the one equal to an angle of the other and the including sides are proportional. Given FIG. 186. the A ABC and A'B'C', with AB = AC A'C''... | |
 | Edith Long, William Charles Brenke - 1916 - 292 sider
...their corresponding sides. Suggestion. Apply Art. 220, Cor. 3. 222. Theorem XVI. // two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, the triangles are similar. Given the triangles ABC and AiBiCi... | |
 | Edith Long, William Charles Brenke - 1916 - 292 sider
...their corresponding sides. Suggestion. Apply Art. 220, Cor. 3. 222. Theorem XVI. // two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, the triangles are similar. Given the triangles ABC and AiBiCi... | |
 | 1920 - 934 sider
...sides. Triangles which have their homologous sides proportional are similar. Two triangles which have an angle of the one equal to an angle of the other, and the sides about these angles proportional, are similar. Two triangles which have their sides parallel... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1918 - 486 sider
...the sum of three given squares. PROPOSITION XIII. THEOREM 378. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Given A ABC and A'B'C',... | |
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Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles... 
