 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 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 EA, EB adjacent to the equal angles are equal to one another; [Comtru-ctwn. therefore EG... | |
 | Mathematical association - 1883 - 86 pages
...(i) by Theors. 16 and 5. (ii) By Theors. 7 and 5.] THEOR. 19. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides opposite to one pair of equal angles equal, then the triangles are identically... | |
 | Stewart W. and co - 1884 - 272 pages
...it was shown that it was not equal to it ; therefore the angle BAC is greater than EDF. XXVI. — 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... | |
 | Euclides - 1884 - 214 pages
...greater than the base of the other. PROPOSITION XXVI. THEOREM. 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 sides which are opposite... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...proposition may be obtained from Proposition V., Book I.? 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, namely, the sides opposite to the equal angles in each, the triangles shall... | |
 | Euclides - 1884 - 94 pages
...now published in a similar form to this. PROPOSITION XXVI. 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... | |
 | Palaestra Oxoniensis - 1884 - 204 pages
...lines, of which any two are together greater than the third. (5) If two triangles have two angles of the one equal to two angles of the other, each to each, and have one side equal to one side, viz. either the sides adjacent to the equal angles in each, or sides... | |
 | Mathematical association - 1884 - 146 pages
...joining their vertices bisects the vertical angles. THEOR. 19. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides opposite to one pair of equal angles equal, then the triangles are identically... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...to AC, and AD to AE : shew that BE is equal to CD. THEOR. 6. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides between the vertices of these angles equal, then the triangles are identically... | |
 | Euclides - 1884 - 182 pages
...triangles ; the first of which may be separately enunciated thus : If two triangles have two angles of the one equal to two angles of the other, each to each, and also the sides adjacent to these angles equal ; they shall have all their other elements equal in pairs.... | |
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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... 
