 | John Playfair - 1819 - 354 pages
...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 equiil angles in each, is common to both ; therefore the other... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...Wherefore, if two triangles, &c. QE DPROP. XXVI. THEOR. IF two triangles have two angles of one equal to twp 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 to equal angles in each;... | |
 | Peter Nicholson - Architecture - 1823 - 210 pages
...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) ;... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...AEG is equal to the angle BKH (10. Ax. 1.); therefore the triangles AEG, ВЕН 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...BED is equal f to the right E/ angle BFD ; therefore the two triangles EBD, FBD have two angles of the one equal to two angles' of the other, each to each ; and the side BD, which is opposite to one of the equal angles in each, is common to • 26. 1. DOtn . therefore... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...be equal to the angle DEG, that is, to ABC. And, because the triangles ABC, DEF have two angles of the one equal to two angles of the other, each to each, they are equiangular (1. 19. Cor. 1.), and therefore similar (31. Cor. 1.). Therefore, SEC. ' PROP.... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...angle EDF. Wherefore, if two triangles, &c. QED PROP. XXVI. THEOR. I/ two triangles have two angles of the one equal to two angles of the other, each to each; undone side equal lo one side, viz. either the sides adjacent to the equa tangles, or the sides opposite... | |
 | William Sullivan - Ethics - 1833 - 380 pages
...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 to the equal angles in... | |
 | Euclides - 1834 - 518 pages
...Wherefore, if two triangles, &c. QED PROPOSITION XXVL 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, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each,... | |
 | Euclid - 1835 - 540 pages
...the angle A EG is equal to the angle BEH*; therefore the triangles AEG, I ! 1 ,1 1 have twe 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; wherec 26. 1. fore, they shall... | |
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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. 
