 | Bengal council of educ - 1848 - 394 pages
...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,...not less than a right angle, or if one of them be a right angle, the triangles shall be equiangular." And show clearly by a diagram the necessity for... | |
 | Euclides - 1848 - 52 pages
...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 - 316 pages
...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 angles equal... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 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 - 268 pages
...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... | |
 | Baptists - 1852 - 1080 pages
...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 ; we have seen... | |
 | Education - 1852 - 512 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 paralellograras... | |
 | Sir James Kay-Shuttleworth - Church and education - 1853 - 524 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 - 176 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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... | |
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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. 
