 | Raymond Clare Archibald - Mathematics - 1918 - 310 pages
...square on AB. BE is drawn at right angles to AC to meet AC in E. Prove that AE is one-third of AC. 9. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, prove that the triangles are... | |
 | United States. Office of Education - 1918 - 1128 pages
...square on AB. BE is drawn at right angles to AC to meet AC in E. Prove that AE is one-third of AC. 9. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, prove that the triangles are... | |
 | Teachers - 1923 - 264 pages
...externally. If two triangles are equiangular their corresponding sides are proportional : and the converse. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.... | |
 | Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...DEF. Th. 14. But the As ABC, XEF are equiangular, .'. the As ABC, DEF are equiangular. QED THEORKM 56. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.... | |
 | Frank Moore Colby, Talcott Williams - Education - 1922 - 1022 pages
...QUADRILATERALS. one respectively parallel or perpendicular to the , sides of the other, they are similar. If two triangles have one angle of the one equal to one 120 SIMMONS angle of the other and the including sides proportional, the triangles are similar. If... | |
 | Education - 1917 - 964 pages
...square on AB. BE is drawn at right angles to AC to meet .4 C in E. Prove that AE is one-third of A C. 9. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, prove that the triangles are... | |
 | University of Oxford - Universities and colleges - 1913 - 386 pages
...converse. If two triangles are equiangular their corresponding sides are proportional ; and the converse. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1878 - 634 pages
...supplement of double the angle AFD. 3. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular to one another, and shall have those angles equal which are opposite to the homologous sides. The point... | |
 | 480 pages
...H and K. Prove that (i) the triangles ABC, DBH, FKC are congruent ; (ii) BHKC is a square. Ex. 63. If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal: then, if the third angles in... | |
 | 352 pages
...similar to ABODE. (This should be done with set-square and straight edge only.) fig. 254. THEOREM 5. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.... | |
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If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. 
