| Euclides - 1838 - 264 pages
...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 - 82 pages
...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 - 1218 pages
...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 - 1841 - 378 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 - 332 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 - 320 pages
...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 - 570 pages
...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 - 688 pages
...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 - 380 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 - 218 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... | |
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