 | Civil service - 1866 - 270 pages
...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 - Euclid's Elements - 1867 - 424 pages
...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 - Euclid's Elements - 1867 - 426 pages
...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 - Geometry - 1868 - 276 pages
...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 pages
...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 - 336 pages
...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.) - Civil service - 1869 - 196 pages
...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 - Geometry - 1871 - 302 pages
...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 pages
...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 - 1010 pages
...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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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... 
