 | Euclides - 1842 - 316 pages
...by BD, and that the right angle BED is equal to the right angle BFD, the two triangles 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... | |
 | 1842 - 524 pages
...course) alone are enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to the corresponding... | |
 | Chambers W. and R., ltd - 1842 - 744 pages
...proposition gives still further information on this useful subject. It shows that if two triangle* have two angles of the one equal to two angles of the other, each to each, and one side equal to one aide, namely, either the sides adjacent to the equal angles,... | |
 | Encyclopedias and dictionaries - 1842 - 526 pages
...course) alone are enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to the corresponding... | |
 | Encyclopedias and dictionaries - 1842 - 538 pages
...alone are • enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to • the... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...: therefore the angle BAC is greatei than the angle EDF. B PROP. XXVI. 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,... | |
 | Euclides - 1845 - 546 pages
...and the right angle FCK is 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 ;... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...&c. are all equal. Hence (I. 6) CH is equal to HD, DK to KE, &c. Also, in the triangles CHD, DK_E, there are two angles of the one equal to two angles of the other, each to each, and (hyp.) the sides CD, DE are equal : therefore (I. 26) the sides CH, HD are equal... | |
 | Scottish school-book assoc - 1845 - 278 pages
...the side BC is = the side BA, being sides of an equilateral triangle ; .-. the Д» CBD, ABE, have two angles of the one equal to two angles of the other, and a side lying between these equal angles also equal ; .-• these triangles are equal in every respect,... | |
 | Euclid - Geometry - 1845 - 218 pages
...: and tho angle AEG is equal:f to the angle BEH ; therefore thu triangles AEG, t 15' !• 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... | |
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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. 
