| Euclides - 1848
...proportional between two given straight lines. PROP. XIV. THEOREM. 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 conversely, parallelograms... | |
| 1852
...About a given circle, to describe i triangle equiangular to a given triangle. 3. 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... | |
| Harvey Goodwin - Mathematics - 1851 - 173 pages
...shall have to the second a greater ratio than the fifth has to the sixth. 8. Equal triangles which have **one angle of the one equal to one angle of the other** have the sides about the equal angles reciprocally proportional ; and conversely. 9. If two planes... | |
| 1851
...the whole triangle and to one another. PAPERS FOE THE SCHOOLHASTEB. 2. Equal triangles, which have **one angle of the one equal to one angle of the other,** have their sides about their equal angles reciprocally proportional. .3. Equiangular paralellograms... | |
| Rev. William R. Williams - 1852
...A b : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that 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 are equiangular, and consequently similar... | |
| Education - 1852
...each side of it are similar to the whole triangle and to one another. 2. Equal triangles which have **one angle of the one equal to one angle of the other,** have their sides about their equal angles reciprocally proportional. 3. Equiangular paralellograras... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...parallelogram BC. Therefore, equal parallelograms, etc. QED PROPOSITION XV. THEOR. Equal triangles which have **one angle of the one equal to one angle of the other,** have their sidis about the equal angles reciprocally proportional; and triangles which have one angle... | |
| Sir James Kay-Shuttleworth - Church and education - 1853 - 500 pages
...each side of it are similar to the whole triangle and to one another. 2. Equal triangles which have **one angle of the one equal to one angle of the other,** have their sides about their equal angles reciprocally proportional. 3. Equiangular parallelograms... | |
| Euclides - Geometry - 1853
...the three angles DEF, EFD, FDE. "Which -was to be proved. PEOP. VI. THEOE. If two triangles have (1) **one angle of the one equal to one angle of the other** ; (2) the sides about this pair of angles proportional : then these two triangles shall be similar,... | |
| Euclides - Geometry - 1853 - 147 pages
...Therefore equal parallelograms, &c. QED PROPOSITION XV. — THEOREM. Eqii.al triangles, which have **one angle of the one equal to one angle of the other,** have tlieir sides about tlie equal angles reciprocally proportional ; and triangles which have one... | |
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