| Elias Loomis - Conic sections - 1857 - 242 pages
...alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the **one equal to two angles of the other, each to each, and** the side Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.)... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the **one equal to two angles of the other, each to each, and** the side Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.)... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...right angles, or are together equal to two right angles. 2. 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,** namely, either the sides adjacent to the equal angles, or the sides which are opposite to equal angles... | |
| Royal college of surgeons of England - 1860 - 336 pages
...sides of the triangle, but shall contain a greater angle. 5. 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,** namely, the sides adjacent to equal angles in each triangle ; then shall the other sides be equal,... | |
| Euclides - 1860 - 288 pages
...right angle FCK is equal to the right angle FCL ; therefore in the two triangles FKC, FLC, there are **two angles of one equal to two angles of the other, each to each ; and** the side FC, which is adjacent to the equal angles in each, is common to both ; therefore the remaining... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...equal to the right angle FCL ; therefore, in the two triangles FKC, FLC, there are two angles of the **one equal to two angles of the other, each to each ; and** the side FC which is adjacent to the equal angles in each, is common to both ; therefore the other... | |
| Horatio Nelson Robinson - Geometry - 1860 - 472 pages
...we have the remaining [_'s, AFC and AEB, equal. Hence, the A's, AFC and AEB, have two angles of the **one equal to two angles of the other, each to each, and** the included sides equal; the remaining sides and angles are therefore equal, (Cor., Prop. 9). Therefore,... | |
| Eucleides - 1860 - 396 pages
...the angle AEG is equal to the angle BEH (a) ; 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... | |
| Euclides - 1861 - 464 pages
...11. All rt. ¿ s are equal to one another. 26, 1. If two ДS have two ¿s of the one equal to two ¿s **of the other, each to each, and one side equal to one side** ; then shall the other sides be equal, each to each, and also the third ¿. of the one to the third... | |
| War office - 1861 - 714 pages
...fraction. 10. Extract the square root of 4-20291001. Euclid. 1. If two triangles have two angles of the **one equal to two angles of the other, each to each, and** the side adjacent to the equal aii'/les in each triangle also equal, then shall the other sides be... | |
| |