 | Euclides - 1842 - 320 pages
...EBC : and the angle AEG is equal to the angle BEH (Euc. 15. 1.) ; therefore the triangles AEG, BEH have two angles of 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 shall have their... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...angle FCK is equal to the right angle FCL ; and 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... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...angle BAC is greater than the angle EDF. B PROP. XXVI. THEOR. 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, via. either the sides adjacent to the equal angles, or the sides opposite to the equal angles in each... | |
 | Euclid - Geometry - 1845 - 218 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 ; straight line KC is... | |
 | Euclid, James Thomson - Geometry - 1845 - 380 pages
...(I. 6) CH is equal to HD, DK to KE, &c. Also, in the triangles CHD, DK_E, there are two angles of the one equal to two angles of the other, each to each, and (hyp.) the sides CD, DE are equal : therefore (I. 26) the sides CH, HD are equal to DK, KE, each to... | |
 | Euclides - 1845 - 546 pages
...angle AEG is equal to the angle BEH : (i. 15.) 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 130 pages
...Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. 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 shall the other sides be equal, each to each, and also the third angle of the one, equal to the third... | |
 | Euclides - 1846 - 292 pages
...right angle FCK is equal to the right angle FCL: Therefore, in the two triangles FCK, FCL, 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... | |
 | John Playfair - Euclid's Elements - 1846 - 334 pages
...angle FCK is equal to the right angle FCL ; and 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... | |
 | Samuel Hunter Christie - 1847 - 172 pages
...angle AEG is equal to the angle BEH (I. 15): 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... | |
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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... 
