 | Euclides - 1865 - 402 pages
...Wherefore, if two triangles, &c. QED PROP. 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 side adjacent to the equal angles in each, or the side... | |
 | Civil service - 1866 - 270 pages
...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
...FCL, there are two angles of the one equal to two angles of the other, each to each ; and the side FC, which is adjacent to the equal angles in each, is common to both ; therefore their other sides are equal, each to each, and the third angle of the one equal to the third angle... | |
 | 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... | |
 | 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 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... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...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.) ;... | |
 | Euclides - 1871 - 136 pages
...QED a.* 8 NOTE XVI. Euclid's Proof of Prop. XXVI. of Book I. 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, or the sides opposite... | |
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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... 
