 | Civil service - 1866 - 270 pages
...Candidates for the Admiralty who selected Euclid as a subject of examination. Time allowed, Three hours. 1. If two triangles have two angles of one equal to two...each to each, and one side equal to one side, viz. the' side adjacent to the equal angles in each ; then shall the other sides be equal, each to each,... | |
 | John Playfair - Geometry - 1855 - 358 pages
...angle BAC is greater than the angle EDF. PROP. XXVI. THfcOR. If two triangles have two angles of the one equal to two angles of the other each to each...one side equal to one side, viz. either the sides nil jar, fat . to thi equal angles, or the sides opposite to the equal angles in each ; then shall... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...equal to the right angle FKC; therefore in the two triangles FHO, FKC, there are two angles of the one equal to two angles of the other, each to each; and the side FC, which is opposite to one of the equal angles in each, is common to both ; therefore their... | |
 | 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 be equal, each to each ; and... | |
 | 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 =[_•#,... | |
 | Robert Potts - 1868 - 434 pages
...angle AEG is equal to the angle BEH: (I. 15.) therefore the triangles AEG, BEHhwe 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... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...of the mode in which 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...each to each, and one side equal to one side, viz., the side adjacent to the equal angles in each ; then shall the other sides be equal, each to each,... | |
 | 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
...opposite to that side is called the Vertex of the triangle. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles in each also equal; then must the triangles be equal in all... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...called the Vertex of the triangle. PKOPOSITION B. THEOREM. If two triangles have ttco angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles in each also equal; then must the triangles be equal in all... | |
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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, namely, either t}le sides adjacent to the equal... 
