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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.
A Shorter Geometry - Page xvi

The Ontario High School Geometry: Theoretical

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....

The Dublin University Calendar, Volume 1

...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....

Statistics of Land-grant Colleges and Universities, Volume 2, Issues 17-31

...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...

The Money Value of Education, Issues 21-34

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...

The Training of Teachers of Mathematics for the Secondary Schools of the ...

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...

Bulletin, Issues 27-40

...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....

The Dublin University Calendar

...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...

Abraham Lincoln, the Prairie Years, Volume 1

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...