 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
 | Peter Nicholson - Cabinetwork - 1856 - 518 pages
...alternate angles, GFE, FGH, are also equal ; therefore the two triangles GEF, HFG, 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... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.) ; and the... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.) ; and the... | |
 | Euclides - 1858 - 248 pages
...following propositions. PROP. 26.— THEOR. — (Important.) 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 in each, or the sides... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...right angles, or are together equal to two right angles. 2. 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, namely, either the sides adjacent to the equal angles, or the sides which... | |
 | Euclides - 1860 - 288 pages
...is equal to KCF, and the right angle FHC equal to the right angle FKC ; in the triangles FHC and 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... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...we have the remaining [_'s, AFC and AEB, equal. Hence, the A's, AFC and AEB, have two angles of the one equal to two angles of the other, each to each, and the included sides equal; the remaining sides and angles are therefore equal, (Cor., Prop. 9). Therefore,... | |
 | Eucleides - 1860 - 396 pages
...the angle AEG is equal to the angle BEH (a) ; 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...Wherefore, if two triangles, &c. QED PROPOSITION XXVI. THEOREM. 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 in each, or the sides... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...other, then the sides AB, BC shall lie in one straight line. 3. 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., the sides adjacent to the equal angles in each triangle ; then shall... | |
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