| John Keill - Geometry - 1782 - 476 pages
...the one equal to one Angle of the other, have the Sides *ibout the equal Angles reciprocal; and tbofe **Parallelograms that have one Angle of the one equal to one Angle of the other, and** the Sides that are about the equal Angles reciprO' tal, are equal. TETAB, BC, be equal Parallelograms,... | |
| Euclid - Euclid's Elements - 1789 - 296 pages
...equiangular with the triangle AGH (I. 7.) or ABC, as was to be fhewn. PROP. VI. THEOREM. If two triangles **have one angle of the one equal to one angle of the other, and** the fides about the equal angles proportional, the triangles will be equiangular. Let ABC, DEF be two... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...parallelograms, &c. a 14. i. b 7-. $• c i. 6. a ii. 5. PROP. XV. THE OR. s. .•»-*• " triangles which **have- one angle of the one equal to one angle of the other,** have their iides about the equal angles reciprocally proportional : And triangles which have one angle... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...parallelogram BC. Therefore equal parallelograms, Sec. Q^ ED PROP. XV. THEOR. EQUAL triangles which **have one angle of the one equal to one angle of the other,** have their fides about the equal angles reciprocally proportional : And triangles which have one angle... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
..."parallelogram BC. Therefore equal parallelograms, &c. D. Book VI. PROP. XV. THEOR. EQUAL triangles which **have one angle of the one equal to one angle of the other,** have their fides about the equal angles reciprocally proportional. and triangles which have one angle... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...triangle DEF. Wherefore, if two triangles, fitc. Q^ ED PROP. PROP. VII. THE OR. IF two triangles have ow **angle of the one equal to one angle of the other, and** the fides about two other angles proportionals, then, if each of the remaining angles be either lefs,... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...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** ono» equal to one angle of the other, and their sides about the equal angles reciprocally proportional,... | |
| Euclid - Geometry - 1810 - 554 pages
...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 :...the one equal to one angle of the other, and their** sides about the equal angles reciprocally proportional, are equal to one another. Let AB, BC be equal... | |
| John Mason Good - 1813 - 714 pages
...a mean proportional between two given straight lines. 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 proport ional : and parallelograms that have one... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...: ai=the square of the product, wherefore ^/afc=the product. 234. Prop. 23. Hence, if two triangles **have one angle of the one equal to one angle of the other,** they will have to each other the ratio compounded of the ratios of the sides about their equal angles;... | |
| |