 | Webster Wells - 1886 - 392 σελίδες
...71), is greater 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 - 1888 - 264 σελίδες
...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 - 1888 - 272 σελίδες
...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 - 1889 - 264 σελίδες
...more, then, is 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...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 - 1892 - 266 σελίδες
...EC. Much 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...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 - 1888 - 466 σελίδες
...BD, CD, show that DBCvri\\ be an isosceles triangle. PROPOSITION XXXII. THEOREM. 159. CONVERSELY : If two angles of a triangle are unequal, the sides opposite are unequal, and tlie greater side is opposite the greater angle. In the triangle ACB, let angle ACB be greater than... | |
 | 1893 - 408 σελίδες
...a circle 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...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 - 1896 - 68 σελίδες
...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 sides...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 - 1896 - 570 σελίδες
...contradicts the 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...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... | |
 | George D. Pettee - 1896 - 272 σελίδες
...interior angle, and how many in the exterior angle at the third vertex ? PROPOSITION XIX 94. Theorem. If two angles of a triangle are unequal, the sides opposite are unequal, the greater side lying opposite the greater angle. A > a D Prove BC>BA Cons. Draw AD making x = C Dem.... | |
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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. 
