 | Peter Nicholson - Cabinetwork - 1856 - 518 pages
...to CD, the alternate angles, GFE, FGH, are also equal ; therefore the two triangles GEF, HFG, 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... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...it, are either two right angles, or are together equal to two right angles. 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and one si ie equal to one side, via. the sides opposite to equal angles in each, then... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...parallel to CD, the alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli included between the equal angles, common ; hence the triangles are... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...consequently, the two equiangular triangles BA C, CUD, are similar figures. Cor. Two triangles which have two angles of the one equal to two angles of the other, are similar; for, the third angles are then equal, and the two triangles are equian gular (BI, p. 25,... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...angle in each, contained by proportional sides, are similar to each other. Any two triangles having two angles of the one equal to two angles of the other, are similar triangles, because the three angles of the one triangle are equal to the three angles of... | |
 | Euclides - 1858 - 248 pages
...demonstration of the following propositions. 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... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...parallel to CD, the alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli included between the equal angles, common ; hence the triangles are... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...it, either arc two right angles, or are together equal to two right angles. 2. 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 sides adjacent to the equal angles,... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...and the right angle FCK is equal to the right angle FCL ; therefore, in the two triangles FKC, FLC, there are two angles of the one equal to two angles of the other, each to each ; and the side FC which is adjacent to the equal angles in each, is common to both ; therefore... | |
 | Euclides - 1860 - 288 pages
...angles GMK and GMN are both right angles by construction; wherefore the triangles GMK and 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, and the side KM is equal to the side... | |
| |
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. 
