 | 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... | |
 | John Playfair - 1835 - 336 σελίδες
...wherefore the parallelogram AB is equal (9. 5.) to the parallelogram BC. PROP. XV. THEOR. Equal triangles which have one angle of the one equal to one angle...about the equal angles reciprocally proportional ; And triangles which have one angle in the one equal to one angle in the other, and their sides about the... | |
 | 1835 - 684 σελίδες
...reciprocally proportional. Cor. 3. (Eue. vi. 14.) And, in the same manner, it may be shown, that any two parallelograms which 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 ; and conversely.... | |
 | 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
...to onfi angle of the other, have their sides about the equal angles reciprocally proportional : And parallelograms which 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. XV. Equal... | |
 | Eugenius Nulty - 1836 - 242 σελίδες
...equal ratios, and there will result ABС:DEF::AС.BG: DF.EH(th.T). THEOREM XXIV. 69. Two triangles which have one angle of the one equal to one angle of the other, are proportional to the products of the sides which contain those angles. E в Let AB С, DEF be two... | |
 | 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,... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...triangles ABC, DEF are equiangular : wherefore, if the sides, &c. PROP. VI. THEOR. 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 remaining angles are equal, each to each,... | |
 | Andrew Bell - 1837 - 290 σελίδες
...therefore the triangle ABC is equiangular to the triangle DEP. PROPOSITION VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides ahout the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
 | John Playfair - 1837 - 332 σελίδες
...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 the ot/ier, and their sides about the equal angles reciprocally proportional, are equal to one another.... | |
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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. 
