| John Keill - Logarithms - 1782 - 399 pages
...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 - Euclid's Elements - 1789 - 272 pages
...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 - Electronic book - 1795 - 400 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... | |
| Euclid, John Playfair - Circle-squaring - 1804 - 440 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, or... | |
| 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... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...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 not less,... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...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 - Mathematics - 1814
...•••• 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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