 | Daniel Cresswell - 1819 - 446 σελίδες
...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 Mason Good - 1819 - 800 σελίδες
...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.... | |
 | John Playfair - 1819 - 350 σελίδες
...(9. 5.) to the parallelogram BC. , Therefore equal parallelograms, &c. Q,. ED PROP. XV. THE'OR. Equal triangles which have one angle of the one equal to one angle ofthi other, have their sides about the equal angles reciprocally proportional : And triangles which... | |
 | John Playfair - 1819 - 354 σελίδες
...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 σελίδες
...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... | |
 | George Lees - 1826 - 276 σελίδες
...one angle DAE of 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... | |
 | Euclid - 1826 - 234 σελίδες
...angle of the other, the sides about the equal angles are reciprocally proportional ; and if triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, these triangles are equal. BAC equal... | |
 | Euclides - 1826 - 226 σελίδες
...angle of the other, the sides about the equal angles are reciprocally proportional; and if triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, these triangles are equal. And because... | |
 | Robert Simson - 1827 - 546 σελίδες
...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... | |
 | Pierce Morton - 1830 - 584 σελίδες
...of the ratios of the sides about the equal angles, or as the rectangles under those sides . G6 (/) Triangles which have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, are equal to one another; and, conversely,... | |
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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. 
