 | Charles Reiner - 1837 - 254 σελίδες
...triangles ? P.—The 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 e df,... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...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,... | |
 | Andrew Bell - 1837 - 290 σελίδες
...the triangle ABC is equiangular to the triangle DEP. PROPOSITION VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides ahout the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
 | Euclides - 1838 - 264 σελίδες
...parallelogram BC. Therefore ri equai parallelograms, &c. QED PROP. XV. THEOR. Equal triangles which haee one angle of the one equal to one angle of the other, haee their sides about the equal angles reciprocally proportional : and triangles which haee one angle... | |
 | Great Britain. Committee on Education - 1853 - 1218 σελίδες
...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 σελίδες
...those angles equal which are opposite to the homologous sides, 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 the remaining angles be each either less... | |
 | Euclides - 1841 - 378 σελίδες
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROP. VI THEOR. I f 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 - 1842 - 316 σελίδες
...equiangular to the triangle DEF. Wherefore, 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 proportionals : the triangles shall be equiangular, and shall... | |
 | John Playfair - 1842 - 332 σελίδες
...Therefore the triangle ABC is equiangular to the triangle DEF. 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 proportionals, then, if each of the remaining angles be either... | |
 | 1843 - 582 σελίδες
...other, have their sides about the equal angles reciprocally proportional: and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal. 5. A common tangent is... | |
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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. 
