| John Playfair - Euclid's Elements - 1837 - 332 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.... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...angles of the one are equal to the angles of the other, each to each. M. — Draw two triangles having **one angle of the one equal to one angle of the other.** P. — Let the angle bac be equal to the angle e df. ? M. — If the angle bac be equal to the angle... | |
| 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... | |
| Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...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...equal which are opposite to the homologous sides.** 4. Show that straight lines, which are perpendicular to parallel straight lines, are themselves also... | |
| Euclides - 1840 - 82 pages
...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 - 1840 - 192 pages
...the one, equal to one angle (DFE) of the other, and the sides about the equal angles proportional, **the triangles shall be equiangular, and shall have...equal which are opposite to the homologous sides.** From the extremities of EF, one of the sides of the triangle DEF, about the angle DFE, draw EG and... | |
| Euclides - Geometry - 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 - 316 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 - 582 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... | |
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