| Euclid - 1781 - 520 sider
...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 - 399 sider
...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 - 272 sider
...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 - 400 sider
...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 - 351 sider
...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... | |
| Euclid, John Playfair - 1804 - 440 sider
...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
...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 - 311 sider
...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
...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
...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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