 | Webster Wells - Geometry - 1886 - 392 pages
...than C. Hence Z ABC is greater than Z C. PROPOSITION XXVIII. THEOREM. 95. CONVERSELY, if two angles of a triangle are unequal, the sides opposite are unequal, and the greater side lies opposite the greater angle. A In the triangle ABC let the angle ABC ber greater than the angle... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...XXXII. THEOREM. 159. CONVERSELY : // two angles of a triangle are unequal, the sides opposite (ire unequal, and the greater side is opposite the greater angle. In the triangle ACB, let angle ACB be greater than angle B. To prove AB>AC. Proof. Now AB is equal to AC, or less than AC, or... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...THEOREM. 159. CONVERSELY : If two angles of a Mangle are unequal, the sides opposite are unequal, and tlie greater side is opposite the greater angle. In the triangle ACB, let angle ACB 6e greater than angle B. To prove A£ > AC. Proof. Now AB is equal to AC, or less than AC,... | |
 | George Albert Wentworth - Geometry, Analytic - 1889 - 264 pages
...the Z ACB greater than Z B. QED A '- ' c< PROPOSITION XXXII. THEOREM. 159. CONVERSELY : If two angles of a triangle are unequal, the sides opposite are...side is opposite the greater angle. In the triangle AGB, let angle ACE be greater than angle B. To prove AB > AC. Proof. Now AB is equal to AC, or less... | |
 | George Albert Wentworth - Geometry, Plane - 1892 - 266 pages
...more,then,is the Z. ACB greater than ZB QED V PROPOSITION XXXII. THEOREM. 159. CONVERSELY : If two angles of a triangle are unequal, the sides opposite are...and the greater side is opposite the greater angle. B In the triangle ACS, let angle ACB be greater than angle B. To prove AB > AC. Proof. Now AB is equal... | |
 | George Albert Wentworth - Geometry - 1888 - 466 pages
...greater than angle B. To prove AB > AC. Proof. Now AB is equal to AC, or less than AC, or greater than AC. But AB is not equal to AC, for then the Z. C would be equal to the ZB, § 154 (being A opposite equal sides). And AB is not less than AC, for then the ZC would be less... | |
 | Examinations - 1893 - 408 pages
...whose radius is 4 feet. (Obtain result correct to two places of decimals.) 3 4 Prove that if two angles of a triangle are unequal, the sides opposite are...and the greater side is opposite the greater angle. 5 5 Prove that an angle formed by a tangent and a secant intersecting without a circle is measured... | |
 | George Albert Wentworth - Geometry - 1895 - 468 pages
...greater than angle B. To prove AB > AC. Proof. Now AB is equal to AC, or less than AC, or greater than AC. But AB is not equal to AC, for then the Z (? would be equal to the ZB, § 154 (being A opposite equal sides). And AB is not less than AC, for... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...angles opposite are unequal, and the greater angle is opposite the greater side. 159. If two angles of a triangle are unequal, the sides opposite are...and the greater side is opposite the greater angle. 160. Two triangles are equal if the three sides of the one are equal respectively to the three sides... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...hypothesis that angle b — angle c. Hence AC=AB. QE D / PROPOSITION XXI. THEOREM VS. If two angles of a triangle are unequal, the sides opposite are...and the greater side is opposite the greater angle. [Converse of Proposition XIX.] GIVEN in the triangle ABC, the angle a > angle c. To PROVE side ^C>side... | |
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If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle. 
