| James Thomson - Geometry - 1845 - 358 pages
...equal. Hence (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... | |
| Robert Simson - Geometry - 1845 - 199 pages
...and tho angle AEG is equal:f to the angle BEH ; therefore thu triangles AEG, t 15' !• 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... | |
| Robert Potts - 1845
...right angle FHC equal to the right angle FKC ; '.. ; therefore in the triangles FHC, 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 the... | |
| John Playfair - Euclid's Elements - 1846 - 317 pages
...therefore the 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, viz. either the sides adjacent to the equal angles, or the sides opposite... | |
| Geometry - 1846
...BAC > Z EDF. 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... | |
| Geometry - 1846
...BAC > L EDF. 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 the sides adjacent to the equal angles, or the sides opposite... | |
| Euclides - 1846
...angle EEC : And the angle AEG is equal to the angle BEH ; 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 — therefore GE is equal to EH,... | |
| Euclides - 1846
...triangles (BAC, DEF) have two angles of the one equal to two angles of the other (B to D and C to F) ; **and a side of one equal to a side of the other,** that is, either the sides which are between the equal angles (as BC to DF) or opposite to the equal... | |
| Samuel Hunter Christie - 1847
...EBC : and the 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... | |
| William Trollope - 1847
...Proposition is the converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — 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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