| Euclides - 1868 - 88 Seiten
...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 - 422 Seiten
...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 Seiten
...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...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... | |
| Royal college of surgeons of England - 1860 - 336 Seiten
...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...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,... | |
| Robert Potts - 1860 - 380 Seiten
...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... | |
| Eucleides - 1860 - 396 Seiten
...angle EBC (b) : and the angle AEG is equal to the angle BEH (a) ; therefore the triangles AEG, BEH **have two angles of the one, equal to two angles of the other, each to each, and** the sides AE, EB, adjacent to the equal angles, equal to one another ; wherefore they have their other... | |
| Horatio Nelson Robinson - 1860 - 472 Seiten
...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,... | |
| Euclides - 1860 - 288 Seiten
...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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 Seiten
...Ex. 34. — Write down the obverse of Prop. 8. From what Proposition is it an immediate inference ? **PROPOSITION 26. THEOREM. If two triangles have two...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 to equal angles in... | |
| Euclid - 1890 - 442 Seiten
...D, for this necessitates that BC < EF. AA It remains .'. that A > D. Proposition 26. (First Part.) **THEOREM — If two triangles have two angles of the...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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