| John Playfair - Geometry - 1837 - 318 pages
...other, have their sides about the equal angles reciprocally proportional : And pa allelograms which **have one angle of the one equal to one angle of the** ot/ier, and their sides about the equal angles reciprocally proportional, are equal to one another.... | |
| Euclid, Robert Simson - Geometry - 1838 - 416 pages
...the triangle ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c, (JED 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 proportionals, then, if each of the remaining angles be either less, or not less,... | |
| Euclides - 1838
...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
...equiangular, and shall 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 or not less than a... | |
| 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...proportionals, the triangles shall be equiangular.** MECHANICS AND HYDROSTATICS. MONDAY, JANUARY 15. 9.. .12. MR. HATHIBON, TRINITY COLLEGE. Pint Division... | |
| Euclid, James Thomson - Geometry - 1845 - 352 pages
...to DFE, and A to D. Therefore the triangles ABC, DEF are equiangular : wherefore, if the sides, &c. **PROP. VI. THEOR. — If two triangles have one angle...the sides about the equal angles proportionals; the** remaining angles are equal, each to each, viz. those which are opposite to the homologous sides. Let... | |
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