| Daniel Cresswell - 1817 - 436 páginas
...straight line drawn from the vertex to the base, bisecting the vertical angle. PROP. XXXII. . • (xxvi.) **If two triangles have two angles of the one equal to two angles of the other,** the third angle of the one shall also be equal to the third angle of the other. (XXVII.) The angle... | |
| John Mason Good - 1819
...contained by the equal to them of the other. 1 Prop. XXVI. Theor. If two triangles hive twn angles of **one equal to two angles of the other, each to each ; and one** side equal to one side. vi¿. either the sides adjacent to the equal angles, 01 the sides opposite... | |
| John Playfair - 1819 - 333 páginas
...by BD ; and because the right angle BED, is equal to the right angle BFD, the two triangles EBD, FBD **have two angles of the one equal to two angles of the other** ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| John Playfair - 1819 - 317 páginas
...equal to the right angle FCL ; and 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 equiil angles in each, is common to both ; therefore the other... | |
| Peter Nicholson - 1823 - 596 páginas
...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 - 372 páginas
...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 - 320 páginas
...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,... | |
| Robert Simson - 1827 - 513 páginas
...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 - 664 páginas
...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
...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... | |
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