| John Playfair - Geometry - 1836 - 114 pages
...a 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,** have their sides about the equal angles reciprocally proportional ; and parallelograms that have one... | |
| Mathematics - 1836 - 472 pages
...about the equal angles reciprocally proportional, are equal to one another. XV. 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... | |
| Euclid - Geometry - 1837 - 410 pages
...D. 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.,... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...lines AB, BC, a mean proportional DB is found. 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 parallelograms that have one... | |
| 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... | |
| John Playfair - Geometry - 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.... | |
| 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... | |
| 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... | |
| 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... | |
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