| Euclid - Geometry - 1776 - 324 pages
...BC : Which was to be done. PROP. XIV. and XV. THEO R. EQJJ . AL parallelograms and triangles, having **one angle of the one equal to one angle of the other,** have the ftdes about 5 the equal angles reciprocally proportional ; and thefe parallelograms and triangles... | |
| Euclid - Geometry - 1776 - 318 pages
...BC : Which was to be done. PROP. XIV. and XV. THEO R. E^JJ AL parallelograms and triangles, having **one angle of the one equal to one angle of the other** y have the fides about the equal angles reciprocally proportional-, and theje parallelograms and triangles... | |
| Euclid - 1781 - 550 pages
...parallelograms, &c. Q^ED PROP. Book VI. 14. r. • ..• J PRO P. XV. THEO R. QtJAL triangles which **have one angle of the one equal to one angle of the other,** have their fides >ut the equal angles reciprocally proportional : And Jangles which have one angle... | |
| Euclid - Euclid's Elements - 1789 - 296 pages
...DEF will be 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... | |
| John Playfair - Trigonometry - 1795 - 444 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 - 351 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
..."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's Elements - 1804 - 470 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 - 518 pages
...is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QE D, PROP. VII. THEOR. See N. **IF two triangles have one angle of the one equal to one angle of the other, and** the sides about two other angles proportionals, then, if each of the remaining angles be either less,... | |
| John Mason Good - 1813 - 722 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... | |
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