| Euclides - 1858
...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 each, or the sides opposite... | |
| Elias Loomis - 1858 - 234 sider
...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.)... | |
| Euclides - 1868
...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 - 1858 - 324 sider
...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 sider
...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, or the sides which are... | |
| Royal college of surgeons of England - 1860
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. 5. **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, the sides adjacent to equal angles in each triangle ; then shall the... | |
| Horatio Nelson Robinson - 1860 - 453 sider
...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,... | |
| William Ernest Johnson - 1889 - 504 sider
...draw IX, IT, IZ perpendiculars on the sides. Then, the triangles BXI, BZ1 having a common side BI and **two angles of the one equal to two angles of the other,** are equal in all respects, so that IX=IZ. Similarly IX=IY, :.IY=IZ. Therefore, the triangles AZI, A... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...the obverse of Prop. 8. From what Proposition is it an immediate inference ? PROPOSITION 26. 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, namely, either the sides adjacent to the equal angles or sides which are opposite... | |
| Euclid - 1890 - 400 sider
...necessitates that BC < EF. AA It remains .'. that A > D. Proposition 26. (First Part.) THEOREM — **If two triangles have two angles of the one equal to two angles of the other, each to each, and** have likewise the two sides adjacent to these angles equal ; then the triangles are identically equal,... | |
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