| Euclides - 1842 - 316 pages
...parallelograms, &c. QED PROP. XV. THEOR. EQUIVALENT triangles, which have one angle of the one equal to one angle of the other, have their sides about the equal...reciprocally proportional : and triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...DB is found. PROP. XIV. PROB. • 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 angle of the one equal to one angle of the other, and their sides about... | |
| Education - 1843 - 582 pages
...triangle are given ; construct it. 4. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal...reciprocally proportional: and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...AB is equal to the parallelogram BC. Therefore equal parallelograms, &c. PROP. XV. THEOR. — Equal triangles which have an angle of the one equal to an angle of the other, have their sides about those angles reciprocally proportional : and (2) triangles which have an angle... | |
| Euclid - Geometry - 1845 - 218 pages
...done. PROPOSITION XIV. THEOR. — 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 that have one angle of the one, equal to one angle of the other, and their sides about... | |
| Euclides - 1845 - 546 pages
...QEF ^ PROPOSITION 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 that have one angle of the one equal to one angle of the other, and their... | |
| Nathan Scholfield - 1845 - 894 pages
...properties of triangles include, by implication, those of all figures. FROPOSITION XIX. THEOREM.Two triangles, which have an angle of the one equal to an angle of tlie other, and the sides containing those angles proportional, are similar, In the two triangles ABC,... | |
| Dennis M'Curdy - Geometry - 1846 - 166 pages
...parallelogram are equal : p. 34ofb. 1. 15 Th. Equal triangles which have an angle of one equal to an angle of the other, have their sides about the equal angles reciprocally proportional : and triangles are equal, which have an angle of one equal to an angle of the other, and the sides about the equal... | |
| Euclides - 1846 - 292 pages
...found. O..E. p. PROP. XIV. THEOR. 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 angle of the one equal to one angle of the other, and their sides about... | |
| Euclides - 1846 - 272 pages
...right, since they are equal to these right angles (by Prop. 34.) CoR. 2. — If two parallelograms have an angle of the one equal to an angle of the other, the remaining angles will be also equal ; for the angles which are opposite to these equal angles are... | |
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