| Euclides - 1826 - 226 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,... | |
| George Lees - 1826 - 276 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... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED 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... | |
| 1834 - 578 pages
...: A b, that is, A c : A 6 : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that 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 are equiangular,... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...to the triangle DEF. 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 eo/uiangulart and shall have those angles equal which are opposite to the homologous sides. Let the... | |
| Mathematics - 1835 - 684 pages
...of a greater number of sides have not, necessarily, their sides so related. PROP. 32. (Eue. vi. 6.) 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 two triangles shall be... | |
| Euclid - 1835 - 540 pages
...equiangular to the triangle DEF. Wherefore, " if the sides," &c. QED Hook VI. 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,... | |
| John Playfair - Geometry - 1836 - 148 pages
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. Q,. ED PROP. VII. 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,... | |
| Mathematics - 1836 - 488 pages
...he equiangular, and shall have those angles equal which are opposite to the. homologous sides. VII. 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... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...D. Therefore the triangles ABC, DEF are equiangular : wherefore, if the sides, &c. 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 remaining angles are equal,... | |
| |