 | Robert Simson - 1804 - 530 pages
...HCF is equal to KCF, and the right angle FHC equal to the right angle FKC ; in the triangles FHC, FKC there are two angles of one equal to two angles of' the other ; and the fide FC, which is oppofite to one of the equal angles in each, is common to both ; therefore... | |
 | Euclid - 1810 - 554 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 - 1814 - 560 pages
...of CFL; therefore the angle KFC is equal to the angle CFL; and rr the right angle FCK is equal 11V to the right angle FCL : Therefore, in the two triangles...is adjacent to the equal angles in each, is common other sides, and the third angle to the third angle : Thereto both ; therefore the other sides shall... | |
 | Euclides - 1816 - 588 pages
...HCF is equal to KCF, and the right angle FHC equal to the right angle FKC ; in the triangles FHC, FKC there 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 d 26. 1. common to both ;... | |
 | Daniel Cresswell - 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 Playfair - 1819 - 354 pages
...angle KFC i= equal to the angle CFL ; now the right angle FCK is equal to the right angle FCL ; and therefore in the two triangles FKC, FLC, there are...to each, and the side FC, which is adjacent to the equiil angles in each, is common to both ; therefore the other sides are equal (26. 1.) to the other... | |
 | 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 - 350 pages
...is equal to KCF, and the D right angle FHC equal to the right angle FKC ; in the triangles FHC, FKC there 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,... | |
 | Euclid, Robert Simson - 1821 - 514 pages
...and CFD double of CFL; therefore the angle KFC is equal to the angle CFL; and the right angle FCK H is equal to the right angle FCL: therefore, in the...other, each to each, and the side FC, which is adjacent ^o the equal angles in each, is common to both; KCL therefore the other sides shall be equal (26. 1.)... | |
 | Peter Nicholson - 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 FH is... | |
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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... 
