| Euclid - 1781 - 552 pages
...other, have their fides about the equal angles reciprocally proportional : And parallelograms that **have one angle of the one equal to one angle of the other,** and their fides about the equal angles reciprocally proportional, are equal to one anther. Let AB,... | |
| Euclid - Euclid's Elements - 1789 - 296 pages
...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... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...other, have their fides about the equal angles reciprocally proportional : And parallelograms that **have one angle of the one equal to one angle of the other,** and their fides about the equal angles reciprocally proportional, are equal to one another. Let AB,... | |
| Robert Simson - Trigonometry - 1804 - 528 pages
...the other, have their fides about the equal angles reciprocally proportional. and parallelograms that **have one angle of the one equal to one angle of the other,** and their fides about the .equal angles reciprocally proportional, are equal to one another. Let AB,... | |
| Robert Simson - Trigonometry - 1806 - 548 pages
...the parallelogram BC. Therefore, equal parallelograms, &c. Q. E« D. • Book VI. PROP. XV. THEOR. **EQUAL triangles which have one angle of the one equal to one angle of the other, have their** sides about the equal angles reciprocally proportional : and triangles which have one angle in the... | |
| John Mason Good - 1813 - 714 pages
...other, have their sides about the equal angles reciprocally proport ional : and parallelograms that **have one angle of the one equal to one angle of the other,** and their sides about tbe equal angles reciprocally proportional, are equal to one another. to the... | |
| Euclides - 1814 - 560 pages
...to BE, so GB to BF ; the parallelogram AB is equal to the parallelogram BC. PROP. XV. THEOR. EQUAI . **triangles which have one angle of the one equal to one angle of the other, have their** sides about the equal angles reciprocally proportional: And triangles which have one angle in the one... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...: 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;... | |
| Daniel Cresswell - Geometry - 1816 - 338 pages
...BA is equal to FE, and the angle ABC to EFG. PROP. XIX. (114.) Theorem. If two spherical triangles **have one angle of the one equal to one angle of the other,** and have also the two sides about another angle in each severally equal, and if the third angle, in... | |
| Euclides - 1816 - 592 pages
...the other, have their sides about the equal angles reciprocally proportional: And parallelograms that **have 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 anothfen Let AB,... | |
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