 | Charles Butler - 1814 - 528 pàgines
...: ai=the square of the product, wherefore ^/afc=the product. 234. Prop. 23. Hence, if two triangles have one angle of the one equal to one angle of the other, they will have to each other the ratio compounded of the ratios of the sides about their equal angles;... | |
 | Euclides - 1816 - 588 pàgines
...the 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 anothfen Let AB,... | |
 | Daniel Cresswell - 1816 - 352 pàgines
...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... | |
 | Daniel Cresswell - 1817 - 454 pàgines
...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 Playfair - 1819 - 350 pàgines
...io one angle of the oiher, 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. Let AB,... | |
 | Daniel Cresswell - 1819 - 446 pàgines
...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 pàgines
...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 - 354 pàgines
...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... | |
 | 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 other, and their sides about 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...about the equal angles reciprocally proportional : And triangles nhich have one angle in the me equal to on« angle in the other, and their sides about the... | |
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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. 
