 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...also touch the chord on the same side as the less circle touches it. (XI 1 1.) If two triangles have one angle of the one, equal to one angle of the other, and also another angle of the one, together with another angle of the other, equal to two right angles,... | |
 | Daniel Cresswell - Geometry - 1819 - 446 pages
...BC, and terminated by the given point D, is a rhombus. PROP. XI. 17. THEOREM. If two triangles have one angle of the one, equal to one angle of the other, and also another angle of the one, together with another angle of the other, equal to two right angles,... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...to the triangle DEF. Wherefore, if two triangles, &c. QE D 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,... | |
 | John Playfair - 1819 - 354 pages
...parallelogram BC. Therefore equal parallelograms, &c. Q, ED PROP, XV. THEOR. triangles 'which have one angle of the one equal to one angle of the other, have their sides about >k> equal angles reciprocally proportional : And triangles mhich have one angle... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...reciprocally proportional: and parallelograms that have one angle of the o.he equal to one angle of the o(hsr, and their sides about the equal angles reciprocally proportional are equal to one another. Let AB,BCbe equal parallelograms, which have the anglesat B equal, and let the sides DB, BE be placed... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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, John Playfair - Euclid's Elements - 1826 - 326 pages
...pther, have their sides about the equal angles reeiproeally proportional : And parallelograms whieh have one angle of the one equal to one angle of the other, and their sides about the equal angles reeiproeally proportional, are equal to one another. Let AB, BC be_ equal parallelograms, whieh have... | |
 | George Lees - 1826 - 276 pages
...IV. a Sup. « 2. 1. b 112. Alg. o 11. Alg. d 2- 4e11 1• PROP. VII. THEOREM. 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,... | |
 | Euclid - 1826 - 234 pages
...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 - 226 pages
...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... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
