 | George Albert Wentworth - Geometry - 1898 - 266 pages
...vertex to the base of an isosceles triangle is an axis of symmetry. PROPOSITION XXXI. THEOREM. 158. // two sides of a triangle are unequal, the angles opposite...and the greater angle is opposite the greater side. CB In the triangle ACLi let AD fie greater than AC. To prove ZA CB greater than Z B. Proof. Take AE... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...23. How many degrees are there in each angle of an equiangular triangle ? PROP. XXXII. THEOREM. 98. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle lies opposite the greater side. A Given, in A ABC, AC > AB. To Prove Z ABC > Z C. Proof. Take AD =... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...the shorter side ? Where is the greater angle situated with reference to the greater side ? Theorem. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. Data: Any triangle, as ABC, in which AB is greater than BC. To prove angle ACB, opposite AB, is greater... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...the one equal to the hypotenuse and an acute Z of the other). _ QED PROPOSITION XXVI. THEOREM. 152. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. c B In the triangle ACB, let AB be greater than AC. To prove that Z A CB is greater than Z B. Proof.... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...of the one equal to the hypotenuse and an acute Z of the other). QED PROPOSITION XXVI. THEOREM. 152. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. c B In the triangle ACB, let AB be greater than AC. To prove that Z A CB is greater than Z B. Proof.... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...one equal to the hypotenuse and an acute Z of the other). QED PROPOSITIOX XXVI. THEOREM. 152. If tu:o sides of a triangle are unequal, the angles opposite...and the greater angle is opposite the greater side. c B In the triangle ACB, let AB be greater than AC. To prove that Z.ACB is greater than Z B. Proof.... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...23. How many degrees are there in each angle of an equiangular triangle ? PROP. XXXII. THEOREM. 98. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle lies opposite the greater BC Given, in A ABC, AC > AB. To Prove Z ABC> Z C. Proof. Take AD = AB, and... | |
 | William James Milne - Geometry - 1899 - 396 pages
...opposite are unequal, and the greater side is opposite the greater angle; conversely, if two sides are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. Data: A spherical triangle, as ABC, in which the angle ACB is greater than the angle ABC. To prove... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...opposite are unequal, and the greater side is opposite the greater angle ; CONVERSELY, if two sides are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. 1. In the triangle ABC, let the angle ABC be greater than the angle ACB. To prove that AC > AB. Proof.... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...opposite are unequal, and the greater side is opposite the greater angle ; CONVERSELY, if two sides are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. 1. In the triangle ABC, let the angle ABC be greater than the angle ACB. To prove that AC > AB. 'Proof.... | |
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If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. 
