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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. "
Plane Geometry - Página 53
por William James Milne - 1899 - 242 páginas
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The Elements of Geometry

Webster Wells - 1886 - 392 páginas
...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...
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A Text-book of Geometry

George Albert Wentworth - 1888 - 464 páginas
...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...
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Examination Papers for the Academic Year ...

1893 - 408 páginas
...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...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 570 páginas
...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...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 AB. AB is...
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Syllabus of Geometry

George Albert Wentworth - 1896 - 68 páginas
...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...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 páginas
...AC=AB. QE D PROPOSITION XXI. THEOREM 78. If two angles of a triangle are unequal, the opposite sides are unequal, 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 5C>side AB. Either...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 554 páginas
...AC=AB. QE D PROPOSITION XXI. THEOREM 78. If two angles of a triangle are unequal, the opposite sides are unequal, 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 AB. Either...
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The Essentials of Geometry (plane)

Webster Wells - 1898 - 284 páginas
...ABD^is > ZC, Then, since Z ABC is > Z ABD, and v PROP. XXXIII. THEOREM. 99. (Converse of Prop. XXXII.) If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side lies opposite the greater angle. J> Given, in A ABC, Z ABC >ZC To Prove AC>AB. Proof. Draw line BD,...
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Plane and Solid Geometry

William James Milne - 1899 - 398 páginas
...angle ? 2. Which side of a right triangle is the greatest? Theorem. The greater side of a triangle lies opposite the greater angle. (Converse of Prop. XXVIII)...that Z ABD — Z BAD. Then, § 118, AD = BD. In A BOD, § 125, BD + DOBC. Substituting AD for its equal BD, AD + DOBC, or AC>BC. That is, AC, opposite...
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Plane and Solid Geometry

William James Milne - 1899 - 396 páginas
...angle ? 2. Which side of a right triangle is the greatest? Theorem. The greater side of a triangle lies opposite the greater angle. (Converse of Prop. XXVIII)...BC, opposite angle A. Proof. Draw BD so that Z ABD = </ BAD. Then, § 118, AD = BD. In ABCD, § 125, BD + DOBC. Substituting AD for its equal BD, AD +...
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