| Euclides - 1856
...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... | |
| Elias Loomis - Conic sections - 1857 - 226 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 equal (Prop. VII.) ; and the... | |
| Adrien Marie Legendre - Geometry - 1857 - 444 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,... | |
| Elias Loomis - Conic sections - 1858 - 234 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 equal (Prop. VII.) ; and the... | |
| 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 each, or the sides... | |
| Euclides - 1868 - 88 pages
...Hyp. Cone. Sap. HP 24. HypConol. D. 5. 9. Concl. Recap. PROP. XXVI. THEOR. If tu-o triangles have t\co **angles of the one equal to two angles of the other, each to** and one side equal to one side, viz., either the sides adjacent to the equal angles in each, or the... | |
| 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... | |
| Sandhurst roy. military coll - 1859 - 1869 pages
...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, or the sides which... | |
| Horatio Nelson Robinson - Geometry - 1860 - 453 pages
...the |_'s PFB and PEC, we have the remaining [_'s, AFC and AEB, equal. Hence, the A's, AFC and AEB, **have two angles of the one equal to two angles of the other, each to each, and the** included sides equal; the remaining sides and angles are therefore equal, (Cor., Prop. 9). Therefore,... | |
| Stewart W. and co - 1884
...to it ; therefore the angle BAC is greater than EDF. XXVI. — If two triangles have two angles of **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, or the sides opposite... | |
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