 | 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,... | |
 | Euclides - 1838 - 264 pages
...the sides, &c. c- ED PROP. VI. THEOR. If two triangles haee 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 haee those angles equal which are opposite to the homologous sides. Let the triangles ABC, DEF have... | |
 | 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,... | |
 | Euclides - Geometry - 1841 - 378 pages
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QE I >. PROP. VII. THEOR. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportional*, then, if each of the remaining... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...to the angle at D. Therefore the triangle ABC is equiangular 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 equiangular,... | |
 | Euclides - 1842 - 316 pages
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED PEOP. VII. • THEOR. 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... | |
 | Education - 1844 - 688 pages
...this line makes with the touching line, shall be equal to the angles in the alternate segments. 12. 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.... | |
 | Euclid - Geometry - 1845 - 218 pages
...ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOB. — If two triangles have one angle of the one equal to one angle of the oiher, and the sides about the equal angles proportionals, the triangles shall be equiangular,... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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,... | |
 | Euclides - 1845 - 546 pages
...is equiangular to the triangle DEF. Wherefore, if two triangles, &c. O..ED 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... | |
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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. 
