| 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 equal (Prop. VII.)... | |
| 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 - 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... | |
| 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, or the sides... | |
| Royal college of surgeons of England - 1860 - 332 pages
...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... | |
| Eucleides - 1860 - 396 pages
...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... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...than the angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION XXVI. 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, viz, either the sides adjacent to the equal angles in each, or the... | |
| 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., Prop. 9).... | |
| Euclides - 1860 - 288 pages
...and the angles GMK and GMN are both right angles by construction; wherefore the triangles GMK and GMN **have two angles of the one equal to two angles of the other,** and they have also the side GM common ; therefore they are equal, and the side KM is equal to the side... | |
| War office - 1861 - 714 pages
...(f )2 to a decimal fraction. 10. Extract the square root of 4-20291001. Euclid. 1. If two triangles **have two angles of the one equal to two angles of the other, each to each,** and the side adjacent to the equal aii'/les in each triangle also equal, then shall the other sides... | |
| |