| 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... | |
| |