| Daniel Cresswell - 1816 - 294 páginas
...(Art. 97.) 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 each,... | |
| Euclides - 1816 - 528 páginas
...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 - 1817 - 436 páginas
...two given circles, 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 - 1819 - 410 páginas
...figure FDHG, having its base 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
...shall be equiangular, and have their Cjuil angles opposite to the homologous sides. Prop. VI. Theor. **If two triangles have one angle of the one equal to one angle of the other,** arid 'be tides about the equal angles proportionals, the »angles shall be equiangular, and shall have... | |
| John Playfair - 1819 - 317 páginas
...triangle ABC is 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 Playfair - 1819 - 333 páginas
...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, BC... | |
| Daniel Cresswell - 1819 - 410 páginas
...figure FDHG, having its base 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** ons angle of the other, and also another angle of the one, together with another angle of the other,... | |
| Euclid, Robert Simson - 1821 - 516 páginas
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &e. QED D PROP. VI. THEOR. IP **two triangles have one angle of the one equal to one angle of the other, and the** sides about the equal angles Eroportionals, the triangles shall be equiangular, and shall ave those... | |
| Daniel Cresswell - 1825 - 582 páginas
...part of the base of the triangle, and having its extremity in a given point of that base. XI. 'l'ii. **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,... | |
| |