| 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...viz., either the sides adjacent to the equal angles** in each, or the sides opposite to them, then shall the other sides be equal, each to each, and also... | |
| 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
...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...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 opposite to equal angles... | |
| John Playfair - 1860 - 317 sider
...EDF. PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of the othtr, **each to each; and one side equal to one side, viz....adjacent to the equal angles, or the sides opposite to** the equal angles in each; then shall the other side be equal, each to each; and also the third angle... | |
| Royal college of surgeons of England - 1860
...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...other, each to each, and one side equal to one side,** namely, the sides adjacent to equal angles in each triangle ; then shall the other sides be equal,... | |
| 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,... | |
| Robert Potts - 1860 - 361 sider
...right angle BED is equal to the right angle B FD ; (ax. 1 1 . ) therefore the two triangles EBD, FBD **have two angles of the one equal to two angles of the other, each to each ; and** the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore their... | |
| Evan Wilhelm Evans - 1884 - 149 sider
...angles A and B by AF and BF, and the angles a and 6 by af and bf. Now, since the triangles ABF, abf, **have two angles of the one equal to two angles of the other,** they are similar (Cor., Theo. IX) ; hence, ABF : abf= AB2 : o&2 (Theo. XIV). Multiplying first couplet... | |
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