 If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side.  Plane Geometry - Page 83by Webster Wells, Walter Wilson Hart - 1915 - 309 pagesFull view - About this book
 | Webster Wells - Geometry - 1886 - 392 pages
...AC—BC. 93. COROLLARY. An equiangular triangle is also equilateral. PROPOSITION XXVII. THEOREM. 94. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle lies opposite the greater side. A B Lay off AD = AB, and join BD. Then in the... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...to the base of an isosceles triangle is an axii ' . «.*.<.«. • w PROPOSITION XXXI. THEOREM. 158. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. CB In the triangle ACB let AB be greater than AC.... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...perpendicular each to each are either equal or supplementary. Define supplementary angles. 2. Prove that if two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. Define the various kinds of triangles. 3. Prove... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...the Z C; how many degrees are there in each angle ? 32 PLANE GEOMETRY PROPOSITION XVIII 93. Theorem. If two sides of a triangle are unequal, the angles opposite are unequal, the greater angle lying opposite the greater side. Appl. BC>BA. Prove A > C Cons. Make BD = BA. Draw AD... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...are equal, and the triangle is isosceles. 157. Cor. An equiangular triangle is also equilateral. 158. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. 159. If two angles of a triangle are unequal, the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...this method correct. Hint. — Apply one of the preceding corollaries. PROPOSITION XIX. THEOREM 76. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. G1VEN in the triangle ABC the side BC~> side AB.... | |
 | Mathematics - 1898 - 228 pages
...sphere, and compare them with the surface and volume, respectively, of the cube. ' JUNE 1895. PLANE. 1. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. Also state and prove the converse proposition.... | |
 | Yale University - 1898 - 212 pages
...sphere, and compare them with the surface and volume, respectively, of the cube. JUNK 1895. PLANE. 1. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. Also state and prove the converse proposition.... | |
 | 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 >... | |
 | 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 are unequal, and the greater angle is opposite the greater side. CB In the triangle ACLi let AD fie greater than... | |
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