 | Alexander Ingram - Trigonometry - 1799 - 351 pages
...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 - Trigonometry - 1804
..."parallelogram BC. Therefore equal parallelograms, &c. D. Book VI. 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... | |
 | Euclid, John Playfair - Circle-squaring - 1804 - 440 pages
...triangle DEF. Wherefore, if two triangles, fitc. Q^ ED PROP. PROP. VII. THE OR. IF two triangles have ow 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 lefs,... | |
 | John Playfair - Euclid's Elements - 1806 - 311 pages
...sides about the equal angles reciprocally proportional ; and parallelograms which have one angle of one equal to one angle of the other, and their sides...reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms, which have the angles at B equal ; the A Jj< sides about the equal... | |
 | Robert Simson - Trigonometry - 1806 - 518 pages
...about the equal angles reciprocally proportional : and parallelograms that have one angle of the ono» equal to one angle of the other, and their sides about...reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms, which have the angles at B equal, and let the sides 1)1!, BE be... | |
 | Euclid - Geometry - 1810 - 518 pages
...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,...reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms, which have the angles at B equal, and let the sides DB, BE be placed... | |
 | Charles Butler - 1814
...a6=the square of the product, wherefore ^ai^zthe 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 - Geometry - 1816 - 294 pages
...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 each,... | |
 | Euclides - 1816 - 528 pages
...: And because HE 'i«£ THE ELEMEtftS Booif Vl. PROP. XIV. TttEOR. 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 parallelograms that have one... | |
 | Daniel Cresswell - Euclid's Elements - 1817 - 436 pages
...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,... | |
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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. 
