| Robert Simson - Trigonometry - 1827 - 546 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 - 210 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 - 282 pages
...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 - 356 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 - 348 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 - 336 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 - 488 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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