| Andrew Bell - 1837 - 290 páginas
...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 - 1837 - 246 páginas
...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 - 1837 - 332 páginas
...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.... | |
| Robert Simson - 1838 - 434 páginas
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &e. Q,. ED PROP. VI. THEOR. IF two triangles have one angle of the one equal to...proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. Let the triangles ABC,... | |
| Euclides - 1838 - 264 páginas
...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 - 1853 - 1218 páginas
...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...proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. 4. Show that straight... | |
| Euclides - 1840 - 82 páginas
...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 - 1840 - 192 páginas
...of the other, and the sides about the equal angles proportional, the triangles shall be equiangular, and shall have those angles 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 - 1841 - 378 páginas
...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... | |
| Euclides - 1842 - 316 páginas
...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... | |
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