| 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 - 472 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 - 470 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 - 248 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, Plane - 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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