| 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 - 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... | |
| Euclides - 1841
...the parallelogram BC. Therefore equal parallelograms, &c. QED 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 triangle* which have one angle... | |
| Euclides - 1842
...parallelogram 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 pagina’s
...straight linos AB, BC, a mean proportional DB is found. PROP. XIV. PROB. • 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 which have one... | |
| Robert Southey - 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
...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... | |
| 1845
...halves of parallelograms, upon the same base, and having the same altitude, equal triangles, which **have one angle of the one equal to one angle of the other,** have the sides about these angles reciprocally proportional ; and if two triangles have one angle of... | |
| James Thomson - 1845 - 358 pagina’s
...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.... | |
| Robert Potts - 1845
...AB, BC, a mean proportional -DB is found. QEF ^ 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 conversely, parallelograms... | |
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