| 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 in the one equal to... | |
| 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... | |
| Euclid, Robert Simson - Geometry - 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... | |
| 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 in the me equal to on« angle in the... | |
| Euclides - 1826
...triangle DEF. If, therefore, two triangles, &c. QED* PROPOSITION 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 proportional, then if each of the remaining angles be either less... | |
| Euclid - 1826 - 180 pages
...therefore, two triangles have their «ides, &c. QED PROPOSITION VI. THEOREM. If two triangles have **one angle of the one equal to one angle of the other,** and the sides about the equal angles proportional, the triangles shall be equiangular, and have those... | |
| George Lees - 1826
...other, have their sides about the equal angles reciprocally proportional ; and triangles which have **one angle of the one equal to- one angle of the other,** and their sides about the equal angles reciprocally proportional, are equivalent. Let the triangles... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROP. VI. THEOR. If tix>o triangles have **one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
| John Playfair - Geometry - 1829 - 186 pages
...triangles will be equiangular. Equal parallelograms, and also equal triangles, which have one angle of **one equal to one angle of the other, have their sides about the equal angles** reciprocally proportional ; and parallelograms, and also • triangles, which have one angle of one... | |
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