 | Euclides - 1860 - 288 pages
...is equal to the right angle FCL ; 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 equal angles in each, is common to both ; therefore the remaining... | |
 | War office - 1861 - 714 pages
...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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...9) ; therefore GFE is equal to G С F, or DFE to В С А. 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.). 206. Scholium. When the two triangles have their sides... | |
 | Euclides - 1862 - 140 pages
...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 - Geometry - 1862 - 518 pages
...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 pages
...CFD ; (m. 27) and BFC is double of the angle KFC, and CFD double of CFL ; 145 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 equal angles in each, is common to both ; therefore the other... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...parallelogram, plane superficies. Write out Euclid's three postulates. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles also equal, then shall the other sides be equal, each to each... | |
 | Euclides - 1863 - 122 pages
...right angle BED (I. Ax. 11) to the right angle BFD. Therefore the two triangles E BD and 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... | |
 | Euclides - 1863 - 74 pages
...nice versa.— LARDXEB.S Euclid, p. 56. PROP. 26.— THEOR. — (Important.) 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 in each, or the sides... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...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, DF with A... | |
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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. 
