| Pierce Morton - 1830 - 272 sider
...together equal to the angles А С D, ACB, that is, to two right angles (2.). Therefore, &c. Cor. 1. **If two triangles have two angles of the one equal to two angles of the other,** their third angles will likewise be equal to one another. Cor. 2. (Eue. i. 2G, second part of.) Hence,... | |
| John Playfair - 1832 - 333 sider
...angle BAG is greater than the angle EDF. Wherefore, if two triangles, &c. QED PROP. XXVI. THEOR. I/ **two triangles have two angles of the one equal to two angles of the other, each to each;** undone side equal lo one side, viz. either the sides adjacent to the equa tangles, or the sides opposite... | |
| William Sullivan - 1833 - 352 sider
...it. It is a truth, for example, but not a self-evident one, that if one draw two triangles, having **two angles of the one equal to two angles of the other, each to each ; and one** side equal to one side, viz. either of the sides adjacent to the equal angles, or the sides opposite... | |
| Thomas Perronet Thompson - 1833 - 150 sider
...reasoning, the like may be proved in all other triangles under the same conditions. Wherefore, universally, **if two triangles have two angles of the one, equal to two angles of the other** respectively ; &c. Which was to be demonstrated. PROPOSITION XXVII. THEOREM. — If a straight line... | |
| Euclides - 1834
...angle EEC : and the angle AEG is equal * to the angle BEH ; * 15' l• therefore the triangles AEG, BEH **have two angles of the one, equal to two angles of the other, each to each, and** the sides AE, EB, adjacent to the equal angles, equal to one another ; wherefore they have their other... | |
| 1835
...together equal to the angles А С D, ACB, that is, to two right angles (2.). Therefore, &c. Cor. 1. **If two triangles have two angles of the one equal to two angles of the other,** their third angles will likewise be equal to one another. Cor. 1. (Eue. i. 26, second part of.) Hence,... | |
| Euclid - 1835 - 513 sider
...by BD, and because the right angle BED is equal to the right angle BFD, the two triangles EBD, FBD **have two angles of the one equal to two angles of the other,** and the side BD, which is opposite to one of the equal angles in each, is common to both; therefore... | |
| Robert Simson - 1835 - 513 sider
...equal to KCF, and the right angle FHC equal to the right angle FKC; in the triangles FHC, FKC there are **two angles of the one equal to two angles of the other,** and the side FC, which is opposite to one of the equal angles in each, is common to both : therefore... | |
| 1836 - 472 sider
...which has the greater base, shall be greater than the angle contained by the sides of the other. XXVI. **If two triangles have two angles of the one equal to two angles of the other, each to each ; and one** side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to... | |
| John Playfair - 1836 - 114 sider
...bisected by BD, and that the right angle BED is equal to the right angle BFD, the two Iriangles EBD, FBD **have two angles of the one equal to two angles of the other,** and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| |