| Euclid - 1826 - 180 pages
...the triangle DEF. If, therefore, two triangles have their Ģides, &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,... | |
| Robert Simson - Trigonometry - 1827 - 513 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 - 574 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,... | |
| 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,... | |
| Mathematics - 1835
...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... | |
| John Playfair - Geometry - 1836 - 114 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 - 472 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 - 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,... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...angle at E ; therefore the triangle ABC is equiangular to the triamrle DEF. PROPOSITION 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 - 1840 - 82 pages
...triangles shall be equiangular, and have their equal angles opposite to homologous sides. 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 proportional, the triangles shall be equiangular,... | |
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