 | Robert Simson - Trigonometry - 1804 - 530 pages
...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 - 546 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 - 714 pages
...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 - 588 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 - 454 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...if the sides, &c. 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...be equiangular, and shall have those angles equal which-are opposite to the homologous sides. Let the triangles ABC, DEF have the angle BAC in the one... | |
 | John Playfair - 1819 - 354 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,... | |
 | Daniel Cresswell - Geometry - 1819 - 446 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... | |
 | Euclid - 1826 - 234 pages
...the triangle DEF. If, therefore, two triangles have their «ides, &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,... | |
| |
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 those angles equal which are opposite to the homologous sides. 
