 | Euclid - 1776 - 318 Seiten
...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 - 552 Seiten
...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... | |
 | John Keill - 1782 - 476 Seiten
...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, having... | |
 | Euclid - 1789 - 296 Seiten
...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,... | |
 | Euclid, John Playfair - 1795 - 462 Seiten
...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 Seiten
...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 Seiten
...ABC is equiangular 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 Seiten
...Therefore the triangle ABC is equiangular to the triangle DEF. Wherefore if the fides, &c. C^E. JJ, a. 33, PROP. VI. THEOR. IF two triangles have one angle of the one eqoal to one angle of the other, and the fides abou; the equal angles proportionals, the triangles... | |
 | John Playfair - 1806 - 320 Seiten
...Wherefore, if two triangles, &c. QED PROP. VII. THEOR. Book vi. IF two triangles have one angle of one equal to one angle of the other, and the sides about two other angles proportional ; and if each of the remaining angles be either less, or not less, than... | |
 | John Mason Good - 1813 - 714 Seiten
...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. 
