 | Edinburgh Mathematical Society - Electronic journals - 1901 - 232 pages
...and EC. Then we can show that AD" and AD' are each less than BE. First, the triangles AD'B and BEA have two sides of the one respectively equal to two sides of the other, but the included angles A and B unequal (since BC> AC). As the angle A > the angle B, we find BE>AD'.... | |
 | William Chauvenet - 1905 - 336 pages
...the triangle which has the greater included angle has the greater third side. PROPOSITION XV. If two triangles have two sides of the one respectively equal to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...BC? within the A ABC? Draw figures for these two cases and apply the proof. THEOREM XI 132. If two triangles have two sides of the one respectively equal to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included... | |
 | Newfoundland Council of Higher Education - 1911 - 252 pages
...be bisected by lines which meet at 0, show that A OB is also an isosceles triangle. (10) A 3. If two triangles have two sides of the one respectively equal to two sides of the other, and have likewise their bases equal, show that the angle which is contained by the two sides of the... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...of the third side. Problem XII. To divide a line-segment into n equal parts. Theorem XXXIII. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, then the third sides are unequal, the greater side being opposite... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...telephone is located at C, \ mi. east of _ Washington [ Square -E. PROPOSITION XV. THEOREM 121. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...the third sides are unequal, the greater side being opposite the greater angle. Theorem XXXIV. If two triangles have two sides of the one respectively equal to two sides of the other, but the third sides unequal, then the included angles are unequal, the greater angle being opposite... | |
 | Great Britain. Scottish Education Dept - 1896 - 642 pages
...different steps neatly arranged. Attention to these points will secure additional marks. 1. If two triangles have two sides of the one respectively equal to two sides of the other, and have also the angles equal which are opposite to the greater of the given sides, the triangles... | |
 | Edinburgh Mathematical Society - Electronic journals - 1900 - 410 pages
...and EC. Then we can show that AD" and AD' are each less than BE. First, the triangles AD'B and BEA have two sides of the one respectively equal to two sides of the other, but the included angles A and В unequal (since BC> AC). As the angle A > the angle B, wefindBE>AD'.... | |
| |
If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. 
