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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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Σελίδα 161
των Euclid - 1810 - 518 σελίδες
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The New International Encyclopædia, Τόμος 21

Frank Moore Colby, Talcott Williams - 1922 - 1022 σελίδες
...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...

Bulletin, Τεύχη 22-33

1917 - 1034 σελίδες
...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....

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

Mathematical Association of America - 2003 - 572 σελίδες
...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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The Bombay University Calendar, Τόμος 1

University of Bombay - 1911 - 1030 σελίδες
...converse. If two triangles ara 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 :md the sides about these equal angles proportional, the triangles are similar. If two triangles have...

Parliamentary Papers, Τόμος 27

Great Britain. Parliament. House of Commons - 1878 - 634 σελίδες
...of the other have their sides about the equal angles reciprocally proportional ; and triangles which have one angle of the one equal to one angle of the other and their sides about4'the equal angles reciprocally proportional are equal to one another. SUBJECTS FOR...

Report of Her Majesty's Civil Service Commissioners: Together with ..., Τόμος 18

1874 - 750 σελίδες
...shall cut the other sides, or these produced, proportionally. INPAMTRT. 7. 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. 8. Prove that the ratio of the diameter...




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