| Euclides - 1816 - 528 pages
...parallelogram BO. Therefore equal parallelograms, gtc. QED, PROP. XV. TIIEOR. EQU AL 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 which have one angle.... | |
| 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,... | |
| Daniel Cresswell - Geometry - 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 Mason Good - 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. Theor.... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...?ular 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
...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... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...THEOR. parallelograms, which have ont 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 angle of the** ene equal to one angle of the other, and their tides about the equal angles reciprocally proportional,... | |
| George Lees - 1826
...Book 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,... | |
| Euclides - 1826
...вс 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... | |
| 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... | |
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