| Cambridge univ, exam. papers - 1856
...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 - 226 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 - 432 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 - 324 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
...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 - 234 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 - 1869 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 - 361 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
...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... | |
| Horatio Nelson Robinson - Geometry - 1860 - 453 pages
...absolutely or sym metrically equal. Cor. On the same sphere, or on equal spheres, triangles having **two angles of the one equal to two angles of the other,** each to each, and the included sides equal, have their remaining sides and angles equal. For, if \_A... | |
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