| Euclides - 1842 - 320 pages
...EBC : and the angle AEG is equal to the angle BEH (Euc. 15. 1.) ; therefore the triangles AEG, BEH **have two angles of 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 shall have their... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...angle FCK is equal to the right angle FCL ; and therefore, in the two triangles FKC, FLC, there are **two angles of 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 the other... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...angle BAC is greater than the angle EDF. B PROP. XXVI. THEOR. 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,** via. either the sides adjacent to the equal angles, or the sides opposite to the equal angles in each... | |
| Euclid - Geometry - 1845 - 218 pages
...right angle FCK is equal to the right angle FCL ; therefore, in the two triangles FKC, FLC, there are **two angles of 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 ; straight line KC is... | |
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...(I. 6) CH is equal to HD, DK to KE, &c. Also, in the triangles CHD, DK_E, there are two angles of the **one equal to two angles of the other, each to each, and** (hyp.) the sides CD, DE are equal : therefore (I. 26) the sides CH, HD are equal to DK, KE, each to... | |
| Euclides - 1845 - 546 pages
...angle AEG is equal to the angle BEH : (i. 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 AE, EB, adjacent to the equal angles, equal to one another: wherefore they have their other... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. 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** shall the other sides be equal, each to each, and also the third angle of the one, equal to the third... | |
| Euclides - 1846 - 292 pages
...right angle FCK is equal to the right angle FCL: Therefore, in the two triangles FCK, FCL, there are **two angles of 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 the other... | |
| John Playfair - Euclid's Elements - 1846 - 334 pages
...angle FCK is equal to the right angle FCL ; and therefore, in the two triangles FKC, FLC, there are **two angles of 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 the other... | |
| Samuel Hunter Christie - 1847 - 172 pages
...angle AEG is equal to the angle BEH (I. 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 AE, EB, adjacent to the equal angles, equal to one another: wherefore they have their other... | |
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