| 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 isosceles triangle ABD,... | |
| 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...and the greater angle is opposite the greater side.** CB In the triangle ACB let AB be greater than AC. To prove ZA GB greater than Z B. Proof. Take AE equal... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...other as the squares of their homologous sides. MASSACHUSETTS INSTITUTE OF TECHNOLOGY, September, 1893. **1. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle** lies opposite the greater side. 2. State and prove the converse of the preceding. Define a convex polygon;... | |
| George Albert Wentworth - Geometry - 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...and the greater angle is opposite the greater side.** 159. If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side... | |
| 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...and the greater angle is opposite the greater side.** G1VEN in the triangle ABC the side BC~> side AB. To PROVE the angle m > angle n. On BC take BD = BA,... | |
| George D. Pettee - Geometry, Plane - 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... | |
| Yale University - 1898 - 212 pages
...volume of the 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,...centers of all circles whose circumferences pass through** t\vo given points. 3. An angle formed by two tangents intersecting without the circumference is measured... | |
| 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 =... | |
| 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.... | |
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