| Robert Simson - Trigonometry - 1804
...triangle DEF. 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... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...is 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... | |
| John Mason Good - 1813
...shall be equiangular, 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,... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...a •••• 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... | |
| Euclides - 1816 - 528 pages
...triangle ABC is 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,... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 436 pages
...two given circles, and 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... | |
| Daniel Cresswell - Geometry - 1819 - 410 pages
...having its base 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... | |
| John Playfair - 1819 - 317 pages
...triangle ABC is 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,... | |
| George Lees - 1826 - 272 pages
...triangles, &c. QED Book IV. a Sup. « 2. 1. b 112. Alg. o 11. Alg. d 2- 4e11 1• PROP. VII. THEOREM. **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... | |
| Euclides - 1826 - 228 pages
...to the triangle DEF. If, therefore, two triangles have their sides, &c. QED PROPOSITION VI. THEOREM. **If two triangles have one angle of the one equal to one** angle of the other, and the sides about the equal angles proportional, the triangles shall be equiangular,... | |
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