| Charles Reiner - 1837 - 215 Seiten
...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 - 1837 - 240 Seiten
...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 - 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 - 1841 - 351 Seiten
...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 - 1842 - 317 Seiten
...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... | |
| 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... | |
| 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.... | |
| |