| Euclid - 1781 - 520 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 - 272 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... | |
| Euclid, John Playfair - Electronic book - 1795 - 400 pages
...triangle DEF. Wherefore, if two triangles, &c. Q^ E. D f PROF. PROP. VII. THEO R. IF two triangles **have one 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... | |
| Alexander Ingram - Trigonometry - 1799 - 351 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,... | |
| Euclid, John Playfair - Circle-squaring - 1804 - 440 pages
...to one angle of the other, have their fides about the equal angles reciprocally proportional :. And **parallelograms Which 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
...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 - 518 pages
...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...about the equal angles reciprocally proportional : and** triangles which have one angle in the one equal to one angle in the other, and their sides about the... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...Therefore, equal parallelograms, &c. QED PROP. XV. THEOR. EQUAL triangles, which have one angle of **one equal to one angle of the other, have their sides...about the equal angles reciprocally proportional ; and** triangles which have one angle in one equal to one angle in the other, and their sides about the equal... | |
| John Mason Good - 1813
...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... | |
| Charles Butler - Mathematics - 1814
...: 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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