 | Euclides - 1852 - 152 pages
...cardboard, so as to exemplify the two last propositions.] PROP. XXVI. THEOR. 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 - Geometry - 1853 - 176 pages
...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 sides... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle EDF. Wherefore, if two triangles, etc. QED e E PROPOSITION XXVI. THEOR. 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 - 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... | |
 | 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... | |
 | 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... | |
 | 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
...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... | |
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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... 
