 | Euclid - 1776 - 326 pagina’s
...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 - 1776 - 318 pagina’s
...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... | |
 | Robert Simson - 1781 - 534 pagina’s
...'Wherefore if two triangles, &c. Q._ ED 4. 6. ii. i. f- y- i. T •*, , Book VI. PROP. VII. THEO R. riangles have one angle of the one equal to one angle of the...angles be either lefs, or not lefs than a right angle ; or if one of them be a right angle. the triangles lliall be equiangular, and have thofe angles equal... | |
 | Euclid - 1781 - 552 pagina’s
...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 - 1789 - 296 pagina’s
...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 triangles, having... | |
 | Alexander Ingram - 1799 - 374 pagina’s
...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 - 1804 - 530 pagina’s
..."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... | |
 | Robert Simson - 1806 - 546 pagina’s
...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, or... | |
 | John Mason Good - 1813 - 714 pagina’s
...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 - 1814 - 528 pagina’s
...a •••• b : 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;... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
