 | Benjamin Greenleaf - 1862 - 518 sidor
...(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... | |
 | Benjamin Greenleaf - 1861 - 638 sidor
...(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,... | |
 | University of Oxford - 1863 - 316 sidor
...figure, diameter of a circle, 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... | |
 | Euclides - 1863 - 74 sidor
...to it in the other ; or 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... | |
 | Evan Wilhelm Evans - 1862 - 116 sidor
...these two angles are equal. But the angle A is common to the two triangles BAD and BAC. Hence, these triangles have two angles of the one equal to two angles of the other, and are consequently similar (Cor., Theo. III). Therefore, AC : AB : : AB : AD. That is, if from a... | |
 | Benjamin Greenleaf - 1863 - 504 sidor
...(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,... | |
 | Euclides - 1863 - 122 sidor
...and the 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... | |
 | Woolwich roy. military acad - 1864 - 588 sidor
...If a, 6, c, are positive integers and unequal, prove (ab + ac + bc)(a + b+c) greater than Qabc. 9. 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., the side opposite to one of the equal angles in... | |
 | Euclides - 1884 - 94 sidor
...EUCLID SHEETS— Props. 1-26, Book I, are now published in a similar form to this. PROPOSITION XXVI. 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... | |
 | Palaestra Oxoniensis - 1884 - 204 sidor
...shall be equal to three given straight lines, of which any two are together greater than the third. (5) If two triangles have two angles of the one equal to two angles of the other, each to each, and have one side equal to one side, viz. either the sides adjacent to the equal angles... | |
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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. 
