| Trinity College (Dublin, Ireland) - 1920
...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... | |
| 1923 - 237 Seiten
...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 - 1926 - 173 Seiten
...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 - 962 Seiten
...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
...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... | |
| 1922 - 1024 Seiten
...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... | |
| 1917 - 966 Seiten
...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.... | |
| 1917 - 1034 Seiten
...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 - 1913
...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... | |
| Mathematical Association, Mathematical Association of America - 2003 - 541 Seiten
...the Committee suggest that the following proposition be adopted: If two triangles (or parallelograms) **have one angle of the one equal to one angle of the other,** their areas are proportional to the areas of the rectangles contained by the sides about the equal... | |
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