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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. "
Elements of geometry: consisting of the first four,and the sixth, books of ... - Pagina 142
door Euclides - 1842
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Bulletin, Nummers 27-40

United States. Office of Education - 1918 - 1128 pagina’s
...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....
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The Dublin University Calendar

Trinity College (Dublin, Ireland) - 1920 - 702 pagina’s
...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 - 264 pagina’s
...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 - 202 pagina’s
...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, Volume 1

Carl Sandburg - 1926 - 528 pagina’s
...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 - 528 pagina’s
...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 Encyclopædia, Volume 21

Frank Moore Colby, Talcott Williams - 1922 - 1022 pagina’s
...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 - 964 pagina’s
...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, Nummers 22-33

1917 - 1034 pagina’s
...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 - 386 pagina’s
...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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