| Euclides - 1855
...The enunciation of this proposition may be thus simplif'ed: If two triangles have two angles of the **one, equal to two angles of the other, each to each, and** a side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles... | |
| Cambridge univ, exam. papers - 1856
...without it. 4. Any two sides of a triangle are together greater than the third side. 5. If two triangles **have two angles of 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... | |
| Peter Nicholson - Cabinetwork - 1856 - 216 pages
...alternate angles, GFE, FGH, are also equal ; therefore the two triangles GEF, HFG, have two angles of the **one equal to two angles of the other, each to each ; and the** side FG, adjacent to the equal angles, common ; the triangles are therefore equal (theorem 6) ; and... | |
| Elias Loomis - Conic sections - 1857 - 226 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.) ; and... | |
| Elias Loomis - Conic sections - 1858 - 234 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.) ; and... | |
| Euclides - 1858
...following propositions. PROP. 26.— THEOR. — (Important.) 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 in each, or the sides... | |
| Sandhurst roy. military coll - 1859 - 1869 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... | |
| Euclides - 1860
...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... | |
| Eucleides - 1860
...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... | |
| Horatio Nelson Robinson - Geometry - 1860 - 453 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,... | |
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