 | Daniel Cresswell - 1817 - 454 pàgines
...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,... | |
 | John Playfair - 1819 - 354 pàgines
...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 in the one equal to... | |
 | John Playfair - 1819 - 350 pàgines
...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... | |
 | Daniel Cresswell - 1819 - 446 pàgines
...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,... | |
 | Euclid, Robert Simson - 1821 - 514 pàgines
...Therefore, equal parallelograms, &c., QED PROP. XV. THEOR. EAUAL triangles, which have one angle ofthe one equal to one angle of the other,- have their sides about the equal angles reciprocally proportional; and triangles which have one angle in the one equal to one angle in the... | |
 | Peter Nicholson - 1825 - 1046 pàgines
...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 in the me equal to on« angle in the... | |
 | Euclid - 1826 - 234 pàgines
...therefore, two triangles have their «ides, &c. QED PROPOSITION VI. THEOREM. 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 have those... | |
 | George Lees - 1826 - 276 pàgines
...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... | |
 | Euclides - 1826 - 226 pàgines
...triangle DEF. If, therefore, two triangles, &c. QED* PROPOSITION 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 proportional, then if each of the remaining angles be either less... | |
 | Robert Simson - 1827 - 546 pàgines
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROP. VI. THEOR. If tix>o 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... | |
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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 those angles equal which are opposite to the homologous sides. 
