| Euclid, Robert Simson - 1821 - 516 sider
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &e. QED D PROP. VI. THEOR. IP **two triangles have one angle of the one equal to one...of the other, and the sides about the equal angles** Eroportionals, the triangles shall be equiangular, and shall ave those angles equal which are opposite... | |
| Peter Nicholson - 1825 - 372 sider
...parallelogram BC. Therefore equal ograms, Лес. Q. E, D. PROP. XV. THEOR. Equal triangles nhich have **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional : And triangles nhich have one angle... | |
| Euclid, Phillips - 1826 - 180 sider
...the parallelogram ac.d Therefore if equal parallelograms, &C. QED PROPOSITION XV. THEOREM. If equal **triangles have one angle of the one equal to one angle of the other,** the sides about the equal angles are reciprocally proportional ; and if triangles have one angle of... | |
| Euclides - 1826
...to FE so is вс to FE, therefore the parallelogram AB is equal to PROPOSITION XV. THEOREM. If equal **triangles have one angle of the one equal to one angle of the other,** the sides about the equal angles are reciprocally proportional; and if triangles have one angle of... | |
| George Lees - 1826 - 207 sider
...the other, have their sides about the equal angles reciprocally proportional ; and triangles which **have one angle of the one equal to- one angle of the other, and** their sides about the equal angles reciprocally proportional, are equivalent. Let the triangles be... | |
| Euclid, John Playfair - 1826 - 320 sider
...a mean proportional DB is found. Whieh was to be done. PROP. XIV. THEOR. Equal parallelograms whieh **have one angle of the one equal to one angle of the** pther, have their sides about the equal angles reeiproeally proportional : And parallelograms whieh... | |
| Robert Simson - 1827 - 513 sider
...parallelogram BC. Therefore equal pa- * 9' 5rallelograms, &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 triangles whichhave one angle... | |
| ...: A b, that is, A c : Ab : : A" E": A" F". Now it is demonstrated in. treatises on geometry,* that **if two triangles have one angle of the one equal to...about the equal angles proportionals, the triangles** are equiangular, and consequently similar ; we have seen that the two triangles A bc, A" F"E" are so... | |
| John Playfair - 1829 - 186 sider
...Wherefore, if the sides &c. QED PROPOSITION VI. THEOREM. If two triangles have one angle of one triangle **equal to one angle of the other, and the sides about the equal angles** proportional, the triangles will he equiangular, and will have those angles equal which are opposite... | |
| Pierce Morton - 1830 - 272 sider
...angles reciprocally proportional, are equal to one another; and, conversely, equal triangles, which **have one angle of the one equal to one angle of the other,** have the sides about the equal angles reciprocally proportional . 66 (j) Two triangles are similar,... | |
| |