 | Euclid - 1776 - 326 σελίδες
...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... | |
 | Robert Simson - 1781 - 534 σελίδες
...'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 other, and the fides about two other angles proportionals ; then if each of the remaining angles be either lefs, or not lefs than... | |
 | Euclid - 1781 - 552 σελίδες
...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 σελίδες
...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...and the fides about the equal angles proportional, the triangles will be equiangular. Let ABC, DEF be two triangles, having the angle A equal to the angle... | |
 | Euclid, John Playfair - 1795 - 462 σελίδες
...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 - 1799 - 374 σελίδες
...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... | |
 | John Playfair, Euclid - 1804 - 468 σελίδες
...to the triangle DEF. Wherefore, if the fides, &c. <ED b 32. i. c4.<f. fS. I. S4-i' PROP. VI. THEOR. IF two triangles have one angle of the one equal to one angle of the other, and the lides about the equal angles proportionals, the triangles fball be equiangular, and fhall have thofe... | |
 | Robert Simson - 1804 - 530 σελίδες
..."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 σελίδες
...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 σελίδες
...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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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. 
