If two triangles have two sides of the one equal respectively 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 of the first is greater than the third side of the second.... The Teaching of Mathematics in the United Kingdom - Page 542by Great Britain. Board of Education - 1912Full view - About this book
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...(Ax. 8) Much more . • . Z EFH > Z EHF. .-. EH>EF. Proposition 3O. Theorem. 120. Conversely, if two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle greater than the third side of the second, then the included angle... | |
| Edward Albert Bowser - Geometry - 1890 - 418 pages
...the vertex to the middle point of the third side. Proposition 29. Theorem. 119. If tii-o Iriunifle* have two sides of the one equal respectively to two sides of the, other, but the included angle in the first triangle greater than the included angle in the second, then the third... | |
| George Albert Wentworth - Geometry - 1888 - 466 pages
...are equal if their legs are equal, each to each. PROPOSITION XXVII. THEOREM. 152. If two irriangles have two sides of the one equal respectively 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 of the... | |
| George Bruce Halsted - Geometry - 1896 - 208 pages
...common side the angle in one triangle equals the exterior angle in the other. 302. Corollary. If two triangles have two sides of the one equal respectively to two sides of the other, and the angles opposite to one pair of equal sides equal, then, if the angles opposite the other pair... | |
| George Albert Wentworth - Geometry, Plane - 1892 - 266 pages
...the same points). .'.the two A coincide, and are equal. UED PROPOSITION XXVII. THEOREM. 152. If two triangles have two sides of the one equal respectively to two sides of the other, bufthe included angle of the first greater than the included angle of the second, then the third side... | |
| George Albert Wentworth - Geometry - 1892 - 468 pages
...the same points). .-.the two A coincide, and are equal. UED PROPOSITION XXVII. THEOREM. 152. // two triangles have two sides of the one equal respectively to two sides of the oiher, but the included angle of the first greater than thc included angle of the second, then the... | |
| Joe Garner Estill - Geometry - 1896 - 168 pages
...Find the area of a regular hexagon inscribed in a circle whose radius is 11.529 inches. Cornell, 1894. 1. If two triangles have two sides of the one equal, respectively, 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 of the... | |
| Joe Garner Estill - 1896 - 186 pages
...Find the area of a regular hexagon inscribed in a circle whose radius is 11.529 inches. Cornell, 1894. 1. If two triangles have two sides of the one equal, respectively, 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 of the... | |
| George Albert Wentworth - Mathematics - 1896 - 68 pages
...the other. 151. Cor. Two right triangles are equal if their legs are equal, each to each. 152. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third... | |
| Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...greater side of every spherical triangle has the greater angle opposite to it. 37. If two spherical triangles have two sides of the one equal respectively to two sides of the other and the angles opposite one of these pairs of equal sides equal, the angles opposite the other pair... | |
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