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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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Seite 165
von Robert Simson - 1806 - 518 Seiten
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The Dublin University Calendar

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...
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Conditions of Recognition, Classification, and Payment of Teachers in the ...

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...
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

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...
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Abraham Lincoln, the Prairie Years, Band 1

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...
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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 Encyclop©Œdia, Band 21

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...
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Bulletin

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....
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Bulletin, Ausgaben 22-33

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....
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The Examination Statutes ... Together with the Regulations of the Boards of ...

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...
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The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

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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