 | 1816 - 764 pàgines
...Any two angles of a triangle are together lefs than two right angles. COR. 3. If two triangles have two angles of the one equal to two angles of the other, the remaining angle of the one is equal to the remaining angle of the other, COR. 4. The two acute... | |
 | Daniel Cresswell - 1817 - 454 pàgines
...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 - 800 pàgines
...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 to equal... | |
 | John Playfair - 1819 - 354 pàgines
...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... | |
 | John Playfair - 1819 - 350 pàgines
...the angles GMK, GMN are both right angles by construction ; wherefore, the triangles GMK, GMN have two angles of the one equal to two angles of the other, and they have also the side GM common, therefore they are equal (26. 1.), and the side KM is equal... | |
 | Peter Nicholson - 1823 - 210 pàgines
...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 pàgines
...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... | |
 | Robert Simson - 1827 - 546 pàgines
...Ax. right angle BED is equal f to the right E/ angle BFD ; therefore the two triangles EBD, 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 • 26. 1. DOtn . therefore... | |
 | Thomas Kerigan - 1828 - 776 pàgines
...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 - 218 pàgines
...angles nm O' 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... | |
| |
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. 
