 | Daniel Cresswell - Geometry - 1819 - 410 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 - 333 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 - 317 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 - 516 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 - 372 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 - 320 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
...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 - 180 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
...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... | |
 | Robert Simson - Trigonometry - 1827 - 513 pages
...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... | |
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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. 
