 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...  The Elements of Euclid - Page 78by Euclid - 1838 - 416 pagesFull view - About this book
 | 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 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 - Circle-squaring - 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,... | |
 | 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 FH is... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...HCF is cqual 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 tie fide FC, which ii opposite to one of the equal angles in each, is common to both; therefore... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...angle KFC i* equal (o 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...two angles of one equal to two angles of the other, eaeh to eaeh, and the side FC, whieh is adjaeent to the equal angles in eaeh, is eommon to both ; therefore... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...angle AEG is •15.1. 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: • 26. 1. wherefore they have their... | |
 | 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... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...E angle KFC is 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...angles of one equal to two angles of the other, each H to each, and the side FC, which is adjacent to the equal angles in each, is common to both; therefore... | |
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