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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
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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...
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Abraham Lincoln: The Prairie Years,

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...
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The New International Encyclopędia, Volume 21

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...
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Bulletin

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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Bulletin, Issues 22-33

Education - 1917
...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....
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The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

Mathematical Association, Mathematical Association of America - Mathematics - 2003 - 541 pages
...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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