| Robert Simson - Trigonometry - 1827 - 513 pages
...was to be done. PROP. XIV. THEOR. Equal parallelograms, which ave 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... | |
| John Playfair - Geometry - 1829 - 186 pages
...equiangular. Equal parallelograms, and also equal triangles, which have one angle of one equal to one **angle of the other, have their sides about the equal angles reciprocally proportional ; and** parallelograms, and also • triangles, which have one angle of one equal to one angle of the other,... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...equal to one another ; and, conversely, 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.** For, if the triangles be completed into parallelograms having the same equal angles and the same sides... | |
| John Martin Frederick Wright - Astronomy - 1831
...parallels, are equal to one another. 2. Equal parallelograms, which have one angle of one equal to one **angle of the other, have their sides about the equal angles reciprocally proportional and** conversely. 3. Find the radius of a sphere described about a given regular tetrahedron. 4. Multiply... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...parallelograms, &c. 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:** Jind triangles which have one angle in the one equal to one angle in the other, and their sides about... | |
| John Playfair - Euclid's Elements - 1833 - 333 pages
...parallelograms, &c. 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** proportiontil : And triangles which have one angle in the one equal to one angle in the other, and... | |
| John Playfair - Euclid's Elements - 1835 - 316 pages
...the parallelogram BC. 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 in the one equal to one angle in the other, and their sides about the equal angles... | |
| Euclid - 1835 - 540 pages
...11. 1. b 31. 3. 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 that have one angle of the one equal to one angle of the other, and their sides about... | |
| Mathematics - 1835 - 684 pages
...equal to one another ; and, conversely, 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.** For, if the triangles be completed into parallelograms having the same equal angles and the same sides... | |
| Mathematics - 1836 - 472 pages
...segment adjacent to that side. XIV. Equal parallelograms which have one angle of the one equal to onfi **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... | |
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