 | Popular educator - 1852 - 1272 pages
...Scholium. The enunciation of this proposition may be thu» simplified : If two triangles have two angles of the one, equal to two angles of the other, each to each, and u side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles... | |
 | Euclides - 1855 - 270 pages
...AEG is equal (L 15) to the angle BEН. Therefore the two triangles AEG and B EH have two angles of. the one equal to two angles of the other, each to each, and the sides AE and EB, adjacent to the equal angles, equal to one another. Wherefore their other sides... | |
 | Euclides - 1855 - 230 pages
...and 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... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...two right angles, or are together equal to two right angles. 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and one si ie equal to one side, via. the sides opposite to equal angles in each, then shall the other sides... | |
 | Peter Nicholson - Cabinetwork - 1856 - 518 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) ;... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...the 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.)... | |
 | Euclides - 1858 - 248 pages
...the 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 opposite to them, then shall... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...the 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
...two 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...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 in each ; then... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...other, then the sides AB, BC shall lie in one straight line. 3. 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., the sides adjacent to the equal angles in each triangle ; then shall the other sides be equal,... | |
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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. 
