| John Playfair - Mathematics - 1806 - 320 pages
...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 straight line KC is equals to CL, and g 26. 1 the angle FKC to the angle FLC. Because KC is equal to... | |
| Euclides - 1816 - 588 pages
...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 - 352 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 - 800 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. vi¿. either the sides adjacent to the equal angles, 01 the sides opposite... | |
| John Playfair - 1819 - 354 pages
...are two angles of one equal to two angles of the other, and the side FC, which is opposite to one of the equal angles in each, is common to both ; therefore, the other sides shall be equal (26. 1.), each to each ; wherefore the perpendicular FH is equal to the perpendicular... | |
| John Playfair - Circle-squaring - 1819 - 350 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... | |
| 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 - 1046 pages
...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... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...equal to the right angle FCL ; therefore in the two triangles FKC, FLC, there are two angles of the 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 sides... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...equal in every respect. PROP. 5. (Eue. i. 26, first part of.) If two triangles have two angles of the one equal to two angles of the other, each to each, and likewise the interjacent* sides equal ; their other sides shall he equal, each to each, viz. those... | |
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