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" If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.... "
The Geometrical Companion, in which the Elements of Abstract Geometry are ... - Page 13
by George Darley - 1828 - 169 pages
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Elementary Synthetic Geometry

George Bruce Halsted - Geometry - 1896 - 208 pages
...angle in one triangle equals the exterior angle in the other. 302. Corollary. If two triangles have two sides of the one equal respectively to two sides of the other, and the angles opposite to one pair of equal sides equal, then, if the angles opposite the other pair of...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 pages
...hexagon inscribed in a circle whose radius is 11.529 inches. Cornell, 1894. 1. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...Two right triangles are equal if their legs are equal, each to each. 152. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the...
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Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - Geometry - 1896 - 168 pages
...hexagon inscribed in a circle whose radius is 11.529 inches. Cornell, 1894. 1. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side...
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Elementary Solid Geometry and Mensuration

Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...the other, the two triangles are equal or symmetrical. 27. If two convex spherical triangles have two sides of the one equal respectively to two sides of the other, but the angle contained by these sides be greater in one triangle than in the other, the triangle which...
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Annual Report of the Commissioners ..., Volume 64

1898 - 830 pages
...Mr. EARDLEY, Head Inspector. Mr. PEDLOW, District Inspector. 1. Prove that if two triangles have two sides of the one equal respectively to two sides of the other, but their buses unequal, their vertical angles are unequal (10 marks) ; and show that if the diagonals...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...is equilateral (why ?), and AD, half of AB = AC. .-.AB = 2AC. " K Ex. 23. If two triangles have two sides of the one equal, respectively, to two sides of the other, and the angles opposite two equal sides equal, the angles opposite the other two equal sides are equal...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...base produced. BOOK I. PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 154. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...included by a side and the base produced. PROPOSITION XXVIII. THEOREM. 154. If two triangles hace two sides of the one equal, respectively, to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...has the greater included angle has also the greater third side. ยง 79. (2) If two triangles have two sides of the one equal, respectively, to two sides of the other, and the third sides unequal, the triangle which has the greater third side has also the greater included...
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