 | George Roberts Perkins - Geometry - 1856 - 460 pages
...Conversely. If two triangles have two sides of the one respectively equal to two sides of the other, and the third side of the first greater than the third side of the second, the included angle of the first will be greater than the included angle of the second. For, if the... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...EC to each; then BC = DE + EC. But DE + EC, is greater than DC. Therefore BC>DC. Hence the theorem ; if two triangles have two sides of one equal to two sides of the other, etc. THEOREM XXIII. A perpendicular is the shortest line that can be drawn from any point to... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...Conversely. If two triangles have two sides of the one respectively equal to two sides of the other, and the third side of the first greater than the third side of the second, the included angle of the first will be greater than the included angle of the second. For, if the... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...to each ; then BC = DE + E0. But DE + E0 is greater than DC. Therefore BC> DC. Hence the theorem ; if two triangles have two sides of one equal to two sides of the other, etc. Cot. Any point out of the perpendicular drawn from the middle point of a Hne, is unequally... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...triangle be equal respectively to two sides of another, but the third side of the flrst triangle be greater than the third side of the second, then the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second. C Li In the &ABC and A' B'... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...respectively to two sides of another, but the third side of the first triangle be greater titan tlie third side of the second, then the angle opposite the third side of the jirst triangle is greater than the angle opposite the third side of the second. In the AAB С and A'... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...FH= GHDH common./ , (I. 2), £tf + HF > EF \BG'> EF. (Constr.), EG = BC/ Proposition 23. Theorem. — If two triangles have two sides of one equal to two sides of the other, each to each, but the third sides unequal, the angle contained by the two sides of the one which... | |
 | Education Ministry of - 1880 - 238 pages
...questions to be answered. _ 1. From a given point draw a straight line equal to a given straight line. 2. If two triangles have two sides of one equal to two sides of the other, each to each, and likewise their bases equal, the two triangles shall be equal in every respect.... | |
 | George Albert Wentworth - 1881 - 266 pages
...triangle be equal respectively to two sides of another, but the third side of t/nfirst triangle be greater than the third side of the second, then the angle opposite the third side of the f'rst triangle is greater than the angle opposite the third side of the second. In the АABСапdA'B'C',... | |
 | George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...triangle be equal respectively to two sides of another, but the third side of Ihe first triangle be greater than the third side of the second, then the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second. С В' In the АABCaпdA'B'С',... | |
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... the third side of the first is greater than the third side of the second. 
