 | Robert Potts - 1860 - 380 σελίδες
...right angle BED is equal to the right angle B FD ; (ax. 1 1 . ) 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 both ; therefore their... | |
 | Eucleides - 1860 - 396 σελίδες
...angle EBC (b) : 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 have their other... | |
 | Euclides - 1860 - 288 σελίδες
...logical sequence would not be affected by such transposition. It might then be demonstrated as follows : If two triangles have two angles of the one equal to two angles of the other, and a side of the one equal to a corresponding side of the other; the triangles are equal in every... | |
 | John Playfair - 1860 - 334 σελίδες
...that it is co» equal to it: therefore the angle BAC is greater than the angle EDF. PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of the othtr, each to each; and one side equal to one side, viz. either the sides, adjacent to the equal angles,... | |
 | War office - 1861 - 714 σελίδες
...prove 92-4 9. Reduce (f )2 to a decimal fraction. 10. Extract the square root of 4-20291001. Euclid. 1. If two triangles have two angles of the one equal to two angles of the other, each to each, and the side adjacent to the equal aii'/les in each triangle also equal, then shall the other sides be... | |
 | War office - 1861 - 260 σελίδες
...consist of a sovereign and a shilling ? MATHEMATICS. Voluntary Paper, No. II. REV. WN GRIFFIN, MA 1. If two triangles have two angles of the one equal to two angles of the other, and one side equal to one side, namely, the sides which are opposite to equal angles in each, then... | |
 | Benjamin Greenleaf - 1862 - 518 σελίδες
...(Art. 34, Ax. 9) ; therefore GFE is equal to GCF, or DFE to BC A. Therefore the triangles ABC, DEF have two angles of the one equal to two angles of the other, each to each ; hence they are similar (Prop. XXII. Cor.). 266. Scholium. When the two triangles have their sides... | |
 | Euclides - 1862 - 172 σελίδες
...and the right angle FHC equal to the right angle FKC ; then in the two triangles FHC, FKC, there are two angles of the one equal to two angles of the other, each to each ; and the side FC, which is opposite to one of the equal angles in each, therefore the other sides shall... | |
 | Euclides - 1862 - 140 σελίδες
...right angle BED is equal to the right angle BFD; (ax. 11.) 2. Therefore the two triangles EBD, FBD, have two angles of the one equal to two angles of the other, each to each; 3. And the side BD, which is opposite to one of the equal angles in each, is common to both ; 4. Therefore... | |
 | Benjamin Greenleaf - 1861 - 638 σελίδες
...(Art. 34, Ax. 9) ; therefore GFE is equal to GCF, or DFE to BC A. Therefore the triangles ABC, DEF have two angles of the one equal to two angles of the other, each to each ; hence they are similar (Prop. XXII. Cor.). homologous. Thus, DE is homologous with AB, DP with AC,... | |
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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. 
