| Euclides - 1856 - 168 pages
...BAC, and the angle ABE is equal to the angle ABC (being both right angles), the triangles ABC, ABE **have two angles of the one equal to two angles of the other, and the** side AB common to the two. Therefore the triangles ABC, ABE are equal, and the side AE is equal to... | |
| Peter Nicholson - Cabinetwork - 1856 - 518 pages
...parallel 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... | |
| Elias Loomis - Conic sections - 1857 - 242 pages
...is 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,... | |
| Euclides - 1858 - 248 pages
...to assist in the 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
...is 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 - 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... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...straight line on one side of 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 pages
...logical sequence would not be affected by such transposition. It might then be demonstrated as follows : **If two triangles have two angles of the one equal to two angles of the other, and** a side of the one equal to a corresponding side of the other; the triangles are equal in every respect.... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...BA C is greater than the angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION XXVI. THEOREM. **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... | |
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