| 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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