| War office - 1861 - 12 sider
...(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... | |
| Benjamin Greenleaf - 1861 - 490 sider
...(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,... | |
| Benjamin Greenleaf - 1862 - 490 sider
...(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... | |
| Euclides - 1862
...EDF. Conclusion. — Therefore, if two triangles, &c. QED PROPOSITION 26.— THEOREM. 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; namely, either the side adjacent to the equal angles... | |
| University of Oxford - 1863
...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... | |
| Evan Wilhelm Evans - 1862 - 98 sider
...angles A and B by AF and BF, and the angles a and b by af and bf. Now, since the triangles ABF, abf, **have two angles of the one equal to two angles of the other,** they are similar (Cor., Theo. Ill) ; hence, ABF : abf : : AB2 : a&2 (Theo. VIII). Multiplying an extreme... | |
| Euclides - 1863
...; 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... | |
| College of preceptors - 1882
...parallel straight lines, it shall make the alternate angles equal to one another. 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 angles which... | |
| Alfred Hix Welsh - 1883 - 267 sider
...R. Therefore, the sum of the angles of a triangle equals two right angles. Cor.—If two triangles **have two angles of the one equal to two angles of the other,** the third angles will be equal. If, now, a = d and b = e, For, (1) a + b + c = 2 R. and (2) d + e +... | |
| Euclides - 1883 - 96 sider
...Assuredly the proposition is not complete without a proof of this fact. EU. I. 26. 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, namely, either (1st) the side adjacent to the equal angles... | |
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