| Charles Butler - Mathematics - 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 - Geometry, Spherical - 1816 - 294 pages
...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 pages
...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 - Euclid's Elements - 1817 - 436 pages
...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 - Trigonometry - 1819 - 333 pages
...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 - Geometry, Plane - 1819 - 410 pages
...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 Playfair - 1819 - 317 pages
...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... | |
| John Mason Good, Olinthus Gilbert Gregory - 1819
...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.... | |
| Euclid, Robert Simson - Mathematics, Greek - 1821 - 516 pages
...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... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...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...sides 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... | |
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