| Daniel Cresswell - Geometry - 1819 - 410 pages
...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 - Circle-squaring - 1819 - 333 pages
...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 less,... | |
| John Playfair - 1819 - 317 pages
...parallelogram BC. Therefore equal parallelograms, &c. Q, ED PROP, XV. THEOR. triangles 'which have **one angle of the one equal to one angle of the other,** have their sides about >k> equal angles reciprocally proportional : And triangles mhich have one angle... | |
| Euclid, Robert Simson - Geometry - 1821 - 516 pages
...reciprocally proportional: and parallelograms that have one angle of the o.he equal to one angle of the o(hsr, **and their sides about the equal angles reciprocally proportional are equal to one another.** Let AB,BCbe equal parallelograms, which have the anglesat B equal, and let the sides DB, BE be placed... | |
| 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 other,** have their sides about the equal angles reciprocally proportional : And triangles nhich have one angle... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...pther, have their sides about the equal angles reeiproeally proportional : And parallelograms whieh have **one angle of the one equal to one angle of the other, and their sides about the equal angles** reeiproeally proportional, are equal to one another. Let AB, BC be_ equal parallelograms, whieh have... | |
| George Lees - 1826
...IV. a Sup. « 2. 1. b 112. Alg. o 11. Alg. d 2- 4e11 1• PROP. VII. THEOREM. 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 less,... | |
| Euclid - 1826 - 180 pages
...parallelogram ac.d Therefore if equal parallelograms, &C. QED PROPOSITION XV. THEOREM. If equal triangles have **one angle of the one equal to one angle of the other,** the sides about the equal angles are reciprocally proportional ; and if triangles have one angle of... | |
| Euclides - 1826
...to FE, therefore the parallelogram AB is equal to PROPOSITION XV. THEOREM. If equal triangles have **one angle of the one equal to one angle of the other,** the sides about the equal angles are reciprocally proportional; and if triangles have one angle of... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...BC. Therefore equal pa- * 9' 5rallelograms, &c. QED PROP. XV. THEOR. • Equal 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 whichhave one angle... | |
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