| Euclides - 1846
...parallelogram BC. Wherefore, Equal parallelograms *rc. QED PROP. XV. THEOR. Equal triangles, which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional : and triangles, which have one angle... | |
| Euclides - 1846
...therefore ex oequali, BD will be to CG, as I to L (by Prop. 33, B. 5). COR. 2. — Triangles which **have one angle of the one equal to one angle of the other,** are to each other in a ratio compounded of the ratios of the sides about the equal angles. COR. 3.... | |
| Harvey Goodwin (bp. of Carlisle.) - 1847 - 80 sider
...than the sum of the two sides by the diameter of the inscribed circle. 23. If two triangles have an **angle of the one equal to one angle of the other, and** also another angle of the one equal to the supplement of another angle of the other, the sides about... | |
| Bengal council of educ - 1848
...satisfy one of the tests of the former. 2. Give a proof of the following proposition : " If two triangles **have one angle of the one equal to one angle of the other, and the** sides about two other angles proportionals ; then, if each of the remaining angles be either less,... | |
| Bengal (India) - 1848
...satisfy one of the tests of the former. 2. Give a proof of the following proposition : " If two triangles **have one angle of the one equal to one angle of the other, and the** sides about two other angles proportionals ; then, if each of the remaining angles be either less,... | |
| Euclides - 1848
...mean 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
...2. 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... | |
| 1851
...similar to 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... | |
| Harvey Goodwin - 1851 - 173 sider
...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... | |
| Rev. William R. Williams - 1852
...A c : 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... | |
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