 | Andrew Bell - Euclid's Elements - 1837 - 290 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 angles be either... | |
 | 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, each to each,... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...other, have their sides about the equal angles reciprocally proportional : And pa allelograms which have one angle of the one equal to one angle of the ot/ier, and their sides about the equal angles reciprocally proportional, are equal to one another.... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...angles of the one are equal to the angles of the other, each to each. M. — Draw two triangles having one angle of the one equal to one angle of the other. P. — Let the angle bac be equal to the angle e df. ? M. — If the angle bac be equal to the angle... | |
 | Euclides - 1838 - 264 pages
...mean proportional DB is found. Which was to be done. PROP. XIV. THEOR. Equal parallelograms, which have one angle of the one equal to one angle of the other, ham their sides about the equal angles reciprocally proportional : and parallelograms that have one... | |
 | Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...equal to one another. 2. About a given circle, to describe a triangle equiangular to a given triangle. 3. 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... | |
 | 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, and shall have... | |
 | 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 angles be either... | |
 | 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 angles be either... | |
 | 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, and shall have... | |
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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. 
