 | United States. Office of Education - 1918 - 1128 pages
...square on AB. BE is drawn at right angles to AC to meet .1 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 ^f the other and the sides about these equal angles proportional, prove that the triangles are similar.... | |
 | Trinity College (Dublin, Ireland) - 1920 - 702 pages
...the base into two portions which have to one another the same ratio as the sidca of the triangle. 5. If two triangles have one angle of the one equal to...and the sides about the equal angles proportionals, prove that the triangles are similar. 6. Prove that similar triangles are to one another in the duplicate... | |
 | 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. The ratio of the areas of similar triangles... | |
 | 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. Data ABC, DEF are two triangles which have... | |
 | Carl Sandburg - 1926 - 528 pages
...stand on equal arcs, whether they be at the centres or circumferences," and "Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and parallelograms which have one... | |
 | Carl Sandburg - 1926 - 528 pages
...stand on equal arcs, whether they be at the centres or circumferences," and "Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and parallelograms which have one... | |
 | 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 similar. APPENDIX A. Elementary TRir.ONCxiernY.... | |
 | Education - 1917 - 1034 pages
...square on AB. BE is drawn at right angles to AC to meet .1 C in E. Prove that AE is one-third of AC. 9. If two triangles have one angle of the one equal to one angle <if the other and the sides about these equal angles proportional, prove that the triangles are similar.... | |
 | 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. The internal bisector of an angle of a... | |
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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. 
