 | Euclides - 1853 - 146 pages
...EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOREM. If two trianglet 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... | |
 | Popular educator - 1852 - 1272 pages
...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... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...any two sides is less than the third side. 39. PROP. XVII. If two triangles have two angles of the one equal to two angles of the other, each to each, and likewise the side which is common to those angles in the one equal to the side which is common to the... | |
 | John Playfair - Geometry - 1855 - 334 pages
...angle KFC is equal to the angle CFL : now the right angle FCK is equal to the right angle FCL ; and therefore, in the two triangles FKC, FLC, there are...to two angles of the other, each to each, and the fcide FC, which is adjacent to the equal angles in each, is common to both ; therefore the other sides... | |
 | Euclides - 1855 - 230 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 sides... | |
 | Euclides - 1855 - 270 pages
...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 - 200 pages
...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 - 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) ; and FH is... | |
 | 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.) ; and the... | |
 | 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.) ; and the... | |
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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. either the sides adjacent to the equal... 
