| 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,... | |
| Robert Simson - Trigonometry - 1804
...Wherefore if two triangles, &c. Q^ ED b. 32. i. c. 4. 6. f' *• i. PROP. VII. THEOR. IF two triangles have **one angle of the one equal to one angle of the other,** and the fides about two o. ther angles proportionals ; then if each of the remaining angles be either... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...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 one equal to one angle in the... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...DB is found. Which was to be done. PROP. XIV. THEOR. EQUAL parallelograms, which have one angle of **one equal to one angle of the other, have their sides about the equal angles** reciprocally proportional ; and parallelograms which have one angle of one equal to one angle of the... | |
| John Mason Good - 1813
...and have their equal angles opposite to the homologous sides. Prop. VI. Theor. If two triangles have **one angle of the one equal to one angle of the other,** and tbe sides about the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
| Charles Butler - 1814
...a6=the square of the product, wherefore ^ai^zthe 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;... | |
| Euclides - 1816 - 528 pages
...equiangular to the triangle DEF. Wherefore, if the sides, Ike. QED PROP. VI. THEOR. IF two 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... | |
| Daniel Cresswell - Geometry - 1816 - 294 pages
...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... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 436 pages
...also touch the chord on the same side as the less circle touches it. (XI 1 1.) 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,... | |
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