| Daniel Cresswell - Geometry - 1819 - 446 pages
...DH in BC, and terminated by the given point D, is a rhombus. PROP. XI. 17. THEOREM. If two triangles **have one angle of the one, equal to one angle of the other,** and also another angle of the one, together with another angle of the other, equal to two right angles,... | |
| John Mason Good - 1819 - 800 pages
...other, have their sides about the equal angles reciprocally proportional : and parallelograms that iiive **one angle of the one equal to one angle of the other,** and their sides about the equal angles reciprocally proportional, are equal to one another. Prop. XV.... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...(9. 5.) to the parallelogram BC. , Therefore equal parallelograms, &c. Q,. ED PROP. XV. THE'OR. Equal **triangles which have one angle of the one equal to one angle** ofthi other, have their sides about the equal angles reciprocally proportional : And triangles which... | |
| John Playfair - 1819 - 354 pages
...equiangular to the triangle DEF. Wherefore, if the sides, &c. Q, ED PROP. VI. THEOR. If two triangles **have one angle of the one equal to one angle of the** oiker, and the sides about the equal angles proportionals, the triangles shall be equiangular, and... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...parallelogram BC. Therefore equal ograms, Лес. Q. E, D. PROP. XV. THEOR. Equal triangles nhich have **have one angle of the one equal to one angle of the other, have their** sides about the equal angles reciprocally proportional : And triangles nhich have one angle in the... | |
| George Lees - 1826 - 276 pages
...one angle DAE of the other, have their sides about the equal angles reciprocally proportional ; and **triangles which have one angle of the one equal to- one angle of the other,** and their sides about the equal angles reciprocally proportional, are equivalent. Let the triangles... | |
| Euclid - 1826 - 234 pages
...angle of the other, the sides about the equal angles are reciprocally proportional ; and if triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles reciprocally proportional, these triangles are equal. BAC equal... | |
| Euclides - 1826 - 226 pages
...angle of the other, the sides about the equal angles are reciprocally proportional; and if triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles reciprocally proportional, these triangles are equal. And because... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROP. VI. THEOR. If tix>o triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...of the ratios of the sides about the equal angles, or as the rectangles under those sides . G6 (/) **Triangles which have one angle of the one equal to one angle of the other,** and the sides about the equal angles reciprocally proportional, are equal to one another; and, conversely,... | |
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