| Civil service - 1866
...who selected Euclid as a subject of examination. Time allowed, Three hours. 1. If two triangles have **two angles of one equal to two angles of the other, each to each, and** one side equal to one side, viz. the' side adjacent to the equal angles in each ; then shall the other... | |
| Euclid, Isaac Todhunter - 1867 - 424 páginas
...angle AEG is equal to the angle BE H; [1. 15. therefore the triangles AEG, BEH have two angles of the **one equal to two angles of the other, each to each ; and the** sides EA, EB adjacent to the equal angles are equal to one another; [Construction. therefore EG is... | |
| Euclid, Isaac Todhunter - 1867 - 426 páginas
...Wherefore, if two triangles &c. QED PROPOSITION. 20. 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... | |
| Horatio Nelson Robinson - 1868 - 276 páginas
...symmetrically equal. Cor. On the same sphere, or on equal spheres, triangles having two angles of the **one equal to two angles of the other, each to each, and the** included sides equal, have their remaining sides and angles equal. For, if |_^ = LA LB =[_•#, and... | |
| Robert Potts - 1868 - 434 páginas
...C is greater than the angle EDF. PROPOSITION XXVI. THEOREM. If two triangles have two angles of the **one equal to two angles of the other, each to each, and** one tide equal to one side, viz, either the sides adja cent to the equal angles in each, or the sides... | |
| Edinburgh univ - 1868 - 334 páginas
...of ^355, 15s. for four years, at 4 per cent. per annum. 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 (viz. , the sides adjacent to the equal angles) ; then shall the other sides... | |
| Robert Johnston (F.R.G.S.) - 1869 - 196 páginas
...you would keep a field in levelling for sections. EUCLID. I. Specimen Paper. 1. If two triangles have **two angles of one equal to two angles of the other, each to each, and** one side equal to one side, viz., the side adjacent to the equal angles in each ; then shall the other... | |
| Elias Loomis - 1871 - 302 páginas
...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 inclu ded between the equal angles, common ; hence the triangles are equal (Prop. VII.) ; and the... | |
| Euclides - 1874 - 120 páginas
...Therefore, if two triangles, &c. QED PROPOSITION 26. THEOREM. If two triangles have two angles of ihe **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... | |
| Education Department,London - 1876 - 1012 páginas
...intercepted between any two of such circles will be equal. 4. 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 angles equal, the other sides shall be equal each to each, and also the third... | |
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