| John Playfair - 1795 - 400 pagina’s
...triangle DEF. Wherefore, if two triangles, &c. Q^ E. D f PROF. PROP. VII. THEO R. IF two triangles **have one angle of the one equal to one angle of the other,** and the fides about two other angles proportionals, then, if each of the remaining angles be either... | |
| Alexander Ingram - 1799 - 351 pagina’s
...parallelogram BC. Therefore equal parallelograms, Sec. Q^ ED PROP. XV. THEOR. EQUAL triangles which **have one angle of the one equal to one angle of the other,** have their fides about the equal angles reciprocally proportional : And triangles which have one angle... | |
| Robert Simson - 1804
...the other, have their fides about the equal angles reciprocally proportional. and parallelograms that **have one angle of the one equal to one angle of the other,** and their fides about the .equal angles reciprocally proportional, are equal to one another. Let AB,... | |
| John Mason Good - 1813
...other, have their sides about the equal angles reciprocally proport ional : and parallelograms that **have one angle of the one equal to one angle of the other,** and their sides about tbe equal angles reciprocally proportional, are equal to one another. to the... | |
| Charles Butler - 1814
...: 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;... | |
| Daniel Cresswell - 1816 - 294 pagina’s
...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... | |
| Euclides - 1816 - 528 pagina’s
...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 - 436 pagina’s
...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 - 333 pagina’s
...?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... | |
| Daniel Cresswell - 1819 - 410 pagina’s
...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,... | |
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