 | John Playfair - 1829 - 210 σελίδες
...triangles will be equiangular. Equal parallelograms, and also equal triangles, which have one angle of one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms, and also • triangles, which have one angle of one... | |
 | Pierce Morton - 1830 - 584 σελίδες
...EB and of В С to В F ; 39. being cited instead of 35. Therefore, &c. Cor. Triangles, which have one angle of the one equal to one angle of the other, are to one another as the rectangles under the sides about the equal angles (37.). PROP. 41. (Eue.... | |
 | John Martin Frederick Wright - 1831 - 282 σελίδες
...that are the same to the same ratio, are the same to one another. 13. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. M. In a plane triangle, of which the sides are a, b, c, and opposite angles... | |
 | Euclides - 1834 - 518 σελίδες
...was to be done. PROPOSITION XIV. THEOR. — Equal parallelogram* n.hirh hare one angle of tie oaf, equal to one angle of the other, have their sides about the eyual angles reciprocally proportional ; and parallelograms that have one angle of the one, equal to... | |
 | 1834 - 578 σελίδες
...A 6 : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that 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 are equiangular, and consequently... | |
 | 1835 - 684 σελίδες
...each . .59 or 2. The three sides of the one proportional to the three sides of the other . . .59 or 3. One angle of the one equal to one angle of the other, and the sides about the equal angles proportionals . . .60 or 4. One angle of the one equal to one... | |
 | Euclid - 1835 - 540 σελίδες
...other, have their sides about the equal angles reciprocally proportional : And parallelograms that have 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. Let AB,... | |
 | 1836 - 488 σελίδες
...equiangular, and have their equal angles opposite to the homologous sides. VI. 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 he equiangular, and shall have... | |
 | John Playfair - 1836 - 148 σελίδες
...other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have 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. Let AB,... | |
 | John Playfair - 1837 - 332 σελίδες
...straight lines AB, BC, a mean proportional DB is found. PROP. XIV. PROB. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And pa allelograms which have one angle of the one equal to 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 the equal angles proportionals : the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. 
