 | Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...right angle BED is equal to the right angle BFD ; the two triangles EUCLID 8 ELEMENTS. EBD, FBD have two angles of the one equal to two angles of the other ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore their... | |
 | Euclides - 1853 - 146 pagina’s
...than the angle 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... | |
 | Charles Davies - 1854 - 436 pagina’s
...consequently, the two equiangular triangles BAC, CED, are similar figures. Cor. Two triangles which have two angles of the one equal to two angles of the other, are similar ; for, the third angles are then equal, and the two triangles are equian gular (BI, p.... | |
 | Thomas Lund - 1854 - 520 pagina’s
...difference between 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... | |
 | Popular educator - 1852 - 1272 pagina’s
...&c. QED Scholium. 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... | |
 | Robert Potts - 1855 - 1050 pagina’s
...another, the greater segments will be equal to the sides of the pentagon. 3. If two triangles have two angles of the one equal to two angles of the other, and one side equal to one side, viz. either the sides adjacent to the equal angles in each, or the sides... | |
 | Euclides - 1855 - 270 pagina’s
...triangles, &c. QED 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... | |
 | Euclides - 1855 - 230 pagina’s
...angle EBC (4): and 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... | |
 | Euclides - 1856 - 168 pagina’s
...and the angle ABE is equal to the angle ABC (being both right angles), the triangles ABC, ABE have two angles of the one equal to two angles of the other, and the side AB common to the two. Therefore the triangles ABC, ABE are equal, and the side AE is equal... | |
 | Peter Nicholson - 1856 - 518 pagina’s
...to CD, the 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... | |
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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. 
