 | Charles Reiner - Geometry - 1837 - 215 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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 240 pages
...AB, BC, a mean proportional DB is found. PROPOSITION XIV. THEOREM. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one... | |
 | Euclides - 1838
...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 - School buildings - 1853
...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
...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 or... | |
 | Euclides - Geometry - 1841 - 351 pages
...proportional DB 6 ' is found. Which was to he done. PROP. XIV. TIIEOR. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sidei about the equal angles reciprocally proportional: and parallelograms that have one... | |
 | Euclides - 1842
...в c. Therefore equivalent parallelograms, &c. QED PROP. XV. THEOR. EQUIVALENT triangles, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : and triangles which have one angle... | |
 | John Playfair - Euclid's Elements - 1842 - 317 pages
...parallelogram AB is equal (9. 5.) to the parallelogram BC. PROP. XV. THEOR. Equal triangles which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional ; And triangles which have one angle... | |
 | Education - 1843
...angle, and one of the other sides of a triangle are given ; construct it. 4. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional: and triangles which have one angle... | |
 | Education - 1844
...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. MECHANICS AND HYDROSTATICS.... | |
| |
If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
