 | Cambridge univ, exam. papers - 1856 - 200 pàgines
...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 - 1857 - 242 pàgines
...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 - 1857 - 442 pàgines
...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,... | |
 | Euclides - 1858 - 248 pàgines
...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 - 1858 - 256 pàgines
...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... | |
 | W. Davis Haskoll - 1858 - 422 pàgines
...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... | |
 | Sandhurst roy. military coll - 1859 - 672 pàgines
...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,... | |
 | Euclides - 1860 - 288 pàgines
...and because the right angle BED is equal to the right angle BFD, the two triangles EBD and FBD have two angles of the one equal to two angles of the other ; and the side BD, which is opposite to the right angles in each, is common to both ; therefore their other... | |
 | Royal college of surgeons of England - 1860 - 332 pàgines
...angles to each other, then the sides AB, BC shall lie in one straight line. 3. 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., the sides adjacent to the equal angles in each... | |
 | Eucleides - 1860 - 396 pàgines
...angle EBC (b) : and the angle AEG is equal to the angle BEH (a) ; 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 ; wherefore... | |
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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. 
