 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.  A Shorter Geometry - Page xviLimited preview - About this book
 | Alexander H. McDougall - Geometry - 1910 - 302 pages
...and meets DF at H. Prove that A EKH : A FKH = ED : DF. THEOREM 10 If two triangles have one angle of one equal to one angle of the other and the sides about these angles proportional, the triangles are similar, the equal angles being opposite corresponding sides.... | |
 | Trinity College (Dublin, Ireland) - 1911
...equal angles proportionals, the triangles are equiangular. 10. Prove that 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. ALGEBRA AMD ARITHMETIC. MR. WEBB.... | |
 | United States. Office of Education - Agricultural colleges - 1917
...square on AB. BE is drawn at right angles to AC to meet .iCioE. Prove that AE is one-third of AC. 9. If two triangles have one angle of the one equal to...and the sides about these equal angles proportional, prove that the triangles are similar. 10. Draw a straight line 5 inches long and divide it into three... | |
 | Alexander Caswell Ellis - Education - 1917 - 50 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...and the sides about these equal angles proportional, prove tha't the triangles are similar. Er,EMEXTART TjUf.ONO ll El'KT. ( Tiro houm) 1. Definp the taneent... | |
 | Raymond Clare Archibald - Mathematics - 1918 - 287 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...and the sides about these equal angles proportional, prove that the triangles are similar. 10. Draw a straight line 5 inches long and divide it into three... | |
 | United States. Office of Education - 1918
...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
...divides 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 one angle of the other and the sides about the equal angles proportionals, prove that the triangles are similar. 6. Prove that similar triangles... | |
 | Carl Sandburg - 1926 - 962 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... | |
 | Encyclopedias and dictionaries - 1922
...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
...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...and the sides about these equal angles proportional, prove that the triangles are similar. APPENDIX A. Elementary TRir.ONCxiernY. ( Two hours.) 1. Define... | |
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