| Alfred Hix Welsh - 1883 - 326 sider
...Therefore, the sum of the angles of a triangle equals two right angles. Cor.—If two triangles have two angles of the one equal to two angles of the other, the third angles will be equal. If, now, a = d and b = e, For, (1) a + b + c = 2 R. and (2) d + e +... | |
| Euclides - 1883 - 176 sider
...points will be bisected by the given line at right angles. c PROP. 26. 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, namely, either (1st) the side adjacent to the equal angles... | |
| Mathematical association - 1883 - 86 sider
...[Alternative proofs, (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... | |
| 1883 - 654 sider
...coincide with the vertex of the given angle and then the construction would fail. 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, viz., either the sides adjacent to the equal angles in... | |
| Woolwich roy. military acad - 1884 - 148 sider
...What other converse 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,... | |
| Association for the improvement of geometrical teaching - 1884 - 150 sider
...that AB is equal 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... | |
| Palaestra Oxoniensis - 1884 - 204 sider
...given straight 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... | |
| Euclides - 1884 - 94 sider
...1-26, Book I, are 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... | |
| Euclides - 1884 - 214 sider
...it would be a proof of both the sixteenth and seventeenth. It shows us that, if two triangles have two angles of the one equal to two angles of the other, each to each or together, their third angles are also equal. The corollaries to this proposition are... | |
| Mathematical association - 1884 - 146 sider
...straight line 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... | |
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