| Euclides - 1838
...given straight lines AB, BC, a 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... | |
| Euclides - 1840
...have 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... | |
| Great Britain. Committee on Education - 1853
...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 - 1841 - 351 Seiten
...the other, have their sidei about the equal angles reciprocally proportional: and parallelograms that **have one angle of the one equal to one angle of the other,** and their sides about the equal angles reciprocally proportional, are equal to one another. Let AB,... | |
| John Playfair - 1842 - 317 Seiten
...to one angle of the other, have their sides about the equal angles reciprocally proportional : And **parallelograms 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 to one another. Let AB,... | |
| Euclides - 1842
...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... | |
| 1843
...angle of the 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... | |
| 1844
...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. MECHANICS AND... | |
| Scottish school-book assoc - 1845
...EBG of /_..--•"" the other, have the sides about the D equal angles reciprocally proportional; and **parallelograms which have one angle of the one, equal to one angle of the other,** and the sides about the equal angles reciprocally proportional, (viz. DB:BE=GB:BF), are equal. Let... | |
| Euclid, James Thomson - 1845 - 352 Seiten
...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, viz.... | |
| |