| Robert Simson - Trigonometry - 1804
...right angle J 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** fide FC, which is adjacent to the equal angles in each, is common to both ; therefore the other fides... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...equal to the angle FBD, and the right angle BED to the right angle BFD, the two triangles EBD, FBD **have two angles of one equal to two angles of the other** ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| Euclid - Geometry - 1810 - 518 pages
...: and -the angle AEG is equal to the angle BEH « ; therefore the triangles AEG, BEH have two angks **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; wherec 36. 1. fore they shall have... | |
| Euclides - 1816 - 528 pages
...greater than the angle EDF. Wherefore, if two triangles, &c. QED , PROP. XXVI. THEOR. 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. either the sides adjacent to the equal angles, or the sides opposite... | |
| Daniel Cresswell - Geometry - 1816 - 294 pages
...E, and the angle C to F. PROP. X. (98.) Theorem. If two spherical triangles, have two angles of the **one equal to two angles of the other, each to each, and** have a side of the one equal to a side of the other, namely, the sides adjacent to the equal angles,... | |
| John Mason Good - 1819 - 740 pages
...the angle contained by the equal to them of the other. 1 Prop. XXVI. Theor. If two triangles hive twn **angles of one equal to two angles of the other, each to each ; and** one side equal to one side. viż. either the sides adjacent to the equal angles, 01 the sides opposite... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...EDF. Wherefore, if tw» triangles, &c. QED 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... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...base BC, and the angle DAE to the angle EBC: and the angle AEG is equal to the angle BEH (15. 1.); **therefore the triangles AEG, BEH have two angles of...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 other... | |
| Peter Nicholson - Architecture - 1823 - 210 pages
...alternate angles, GFE, FGH, are also equal; therefore the two triangles GEF, FHG, have two angles of the **one equal to two angles of the other, each to each ; and the** side FG, adjacent to the equal angles, common ; the triangles are therefore equal (theorem 6) ; and... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...than the angle EDF. Wherefore, if two triangles, &c.QED Proposition XXVI. Theorem. 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. either the sides adjacent to the equal angles, or the sides opposite... | |
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