 | Euclides - 1853 - 176 pages
...angle fСk is equal to the right angle f Сl : therefore, in the two triangles fkc, f 1 С, there are two angles of one equal to two angles of the other, each to each, and the side fС, which is adjacent to the equal angles in each, is common to both ; therefore the other... | |
 | Euclides - 1853 - 146 pages
...right angle FCKis 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 (I. 26.)... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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 other... | |
 | Thomas Lund - Geometry - 1854 - 522 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... | |
 | Popular educator - 1854 - 1274 pages
...The enunciation of this proposition may be thuğ 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... | |
 | John Playfair - Geometry - 1855 - 334 pages
...EDF. PROP. XXVI. THLOR. Jf two triangles have two angles of the one equal to two angles of the otIirr, each to each; and one side equal to one side, viz. either the sides adjacent to the equal anglrs, or the sides opposite to the equal angles in each ; then shall the other xtde be equal, each... | |
 | 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... | |
 | Euclides - 1855 - 262 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
...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 - 482 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) ;... | |
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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, namely, either t}le sides adjacent to the equal... 
