| Cambridge univ, exam. papers - 1856 - 200 pages
...angles are equal, these straight lines are, two and two, in the same 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 equal angles in each; then... | |
| 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... | |
| 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... | |
| Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...homologous sides proportional (D. 1, 2); consequently, the two equiangular triangles BA C, CUD, are **similar figures. Cor. Two triangles which have two...third angles are then equal, and the two triangles are** equian gular (BI, p. 25, c. 2.) Scholium. Observe, that in similar triangles, the homologous sides... | |
| 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... | |
| 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 the other... | |
| 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
...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... | |
| Sandhurst roy. military coll - 1859 - 672 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,... | |
| Horatio Nelson Robinson - Geometry - 1860 - 470 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.,... | |
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