 | 1842 - 524 pages
...triangle (any two, of 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 - 526 pages
...triangle (any two, of 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... | |
 | Society for the diffusion of useful knowledge - 1842 - 524 pages
...triangle (any two, of 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 Ihe other, each to each, have the third angles equal, and all the sides of one in the same proportion... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...by BD ; and because 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... | |
 | 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,... | |
 | Euclides - 1842 - 316 pages
...bisected 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... | |
 | Euclid - Geometry - 1845 - 218 pages
...and that the right angle B pct Comtr. 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... | |
 | Euclides, James Thomson - Geometry - 1845 - 382 pages
...is equal (const.) to FBD, and that the right angles BED, BFD are equal, 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 both... | |
 | Euclides - 1845 - 546 pages
...the right angle BED is equal to the right angle BFD ; (ax. 11.) 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... | |
 | Scottish school-book assoc - 1845 - 278 pages
...1), and 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,... | |
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If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent. 
