 | Daniel Cresswell - 1816 - 352 sider
...BA is equal to FE, and the angle ABC to EFG. PROP. XIX. (114.) Theorem. If two spherical triangles have one angle of the one equal to one angle of the other, and have also the two sides about another angle in each severally equal, and if the third angle, in each,... | |
 | Euclides - 1816 - 588 sider
...parallelogram BO. Therefore equal parallelograms, gtc. QED, PROP. XV. TIIEOR. EQU AL 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.... | |
 | Daniel Cresswell - 1817 - 454 sider
...and 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 Mason Good - 1819 - 800 sider
...other, have their sides about the equal angles reciprocally proportional : and parallelograms that iiive one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another. Prop. XV. Theor.... | |
 | Daniel Cresswell - 1819 - 446 sider
...DH in 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 - 1819 - 350 sider
...?ular 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 sider
...equiangular to the triangle DEF. Wherefore, if the sides, &c. Q, ED PROP. VI. THEOR. If two triangles have one angle of the one equal to one angle of the oiker, and the sides about the equal angles proportionals, the triangles shall be equiangular, and... | |
 | Peter Nicholson - 1825 - 1046 sider
...THEOR. parallelograms, which have ont 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 angle of the ene equal to one angle of the other, and their tides about the equal angles reciprocally proportional,... | |
 | George Lees - 1826 - 276 sider
...Book 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 sider
...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... | |
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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. 
