| Euclid, Robert Simson - 1821 - 514 sider
...the angle EBC: and the angle AEG is equal to the angle BEH (15. 1.); therefore the triangles AEG, BEH have two angles of one equal to two angles of the...wherefore they shall have their other sides equal (26. 1.) •See Notes. H CE is therefore equal to EH, and AG to BH: and because AE is equal to EB,... | |
| Peter Nicholson - 1823 - 210 sider
...alternate angles, GFE, FGH, are also equal; therefore the two triangles GEF, FHG, 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... | |
| Robert Simson - 1827 - 546 sider
...equal to the right angle FCL ; therefore in the two triangles FKC, FLC, there are two angles of the 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 sides... | |
| Euclid, Robert Simson - 1829 - 548 sider
...greater than the angle EDF. Wherefore, if two triangles, &c. QED PROP. .XXVI. THEOR. IF two triangles have two angles of one equal to two angles of the other, each to eacli ; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the... | |
| Pierce Morton - 1830 - 584 sider
...equal in every respect. PROP. 5. (Eue. i. 26, first part of.) If two triangles have two angles of the one equal to two angles of the other, each to each, and likewise the interjacent* sides equal ; their other sides shall he equal, each to each, viz. those... | |
| John Playfair - 1832 - 358 sider
...right 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 H to each, and the side FC, which is adjacent to the equal angles in each, is common to both; therefore... | |
| William Sullivan - 1833 - 380 sider
...truth, for example, but not a self-evident one, that if one draw two triangles, having two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either of the sides adjacent to the equal angles, or the sides opposite... | |
| Euclides - 1834 - 518 sider
...equal to the right angle FCL ; therefore in the two triangles FKC, FLC, i there are two angles of the 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 • 28. 1.... | |
| Robert Simson - 1835 - 544 sider
...the angle AEG is equal to the angle BEH" ; therefore the triangles AEG, BEH have two angles of the one equal to two angles of the other, each to each,...adjacent to the equal angles, equal to one another; wherec 26. l. fore, they shall have their other sides equalc: GE is therefore an. i. equal to EH, and... | |
| Euclid - 1835 - 540 sider
...greater than the angle EDF. Wherefore, " ifhco triangles" &c. QED 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... | |
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