 | Peter Nicholson - 1823 - 210 pagina’s
...parallel to CD, the alternate angles, GFE, FGH, are also equal; therefore the two triangles GEF, FHG, have two angles of the one equal to two angles of the other, each to each ; and the side FG, adjacent to the equal angles, common ; the triangles are therefore equal (theorem 6) ;... | |
 | Peter Nicholson - 1825 - 1046 pagina’s
...takes place when in each triangle two sides respectively equal, form an equal angle ; and also when two angles of the one, equal to two angles of the other, are formed on an equal side. It is easy to demonstrate these propositions in the same manner as in... | |
 | Euclid, John Playfair - 1826 - 326 pagina’s
...angle BAG is greater than the angle EDF. Wherefore, if two triangles, &e. QED .5- PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of the other, eaeh to eaeh -, and one side equal to one side, viz. either the sides adjaeent to the equal angles,... | |
 | Euclid - 1826 - 234 pagina’s
...Ј ѕ. i. equal to the right angle BFE; therefore the two triangles EAF, EBF, have two angles equal, each to each, and one side equal to one side ; namely, the side EF common to the two triangles, which is subtended by one of the equal angles. Therefore they... | |
 | Euclides - 1826 - 226 pagina’s
...ѕ. i. equal to the right angle BFE ; therefore the two triangles EAF, EBF, have two angles equal, each to each, and one side equal to one side; namely, the side EF common to the two triangles, which is subtended by one of the equal angles. Therefore they... | |
 | Robert Simson - 1827 - 546 pagina’s
...angle EBC: and the angle AEG is •15.1. equal* to the angle BEH: 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: • 26. 1. wherefore they have... | |
 | Thomas Kerigan - 1828 - 776 pagina’s
...opposite angle CBF, — Euclid, Book I., Prop. 29. And, since the two triangles AFD and FBC have, thus, two angles of the one equal to two angles of the other, viz., the angle AFD to the angle FBC, and the angle FAD to the angle BFC, and the side AF of the one... | |
 | James Hayward - 1829 - 228 pagina’s
...mO' and M'N'O' are equal. The angle N'O'M' is common to the two triangles nmO' and N'M'O'; and having two angles of the one equal to two angles of the other, the other angles must be equal, that is, the angle O'M'N' is equal to the angle O' nm ; and this intersection... | |
 | Pierce Morton - 1830 - 584 pagina’s
...together equal to the angles А С D, ACB, that is, to two right angles (2.). Therefore, &c. Cor. 1. If two triangles have two angles of the one equal to two angles of the other, their third angles will likewise be equal to one another. Cor. 2. (Eue. i. 2G, second part of.) Hence,... | |
 | John Playfair - 1832 - 358 pagina’s
...angle BAG is greater than the angle EDF. Wherefore, if two triangles, &c. QED PROP. XXVI. THEOR. I/ two triangles have two angles of the one equal to two angles of the other, each to each; undone side equal lo one side, viz. either the sides adjacent to the equa tangles, or the sides opposite... | |
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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. either the sides adjacent to the equal... 
