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. A Shorter Geometry - Page xviLimited preview - About this book
| Euclides - 1840
...triangles shall be equiangular, and have their equal angles opposite to homologous sides. 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 proportional, the triangles shall be equiangular, and shall have those angles equal... | |
| Great Britain. Committee on Education - School buildings - 1853
...to one another. 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 those angles equal... | |
| Euclides - Geometry - 1841 - 351 pages
...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... | |
| John Playfair - Euclid's Elements - 1842 - 317 pages
...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... | |
| 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... | |
| 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
...this line makes 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 HYDROSTATICS. MONDAY,... | |
| Euclid, James Thomson - Geometry - 1845 - 352 pages
...Therefore the 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. those which are... | |
| Euclid - Geometry - 1845 - 199 pages
...ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOB. — **If two triangles have one angle of the one equal to one angle of the** oiher, and the sides about the equal angles proportionals, the triangles shall be equiangular, and... | |
| Scottish school-book assoc - 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... | |
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