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" ... is greater than the third side of the second, then the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second. "
Syllabus of Geometry - Page 8
by George Albert Wentworth - 1896 - 50 pages
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...another, but the included angle in the first triangle is greater than the included angle in the second, the third side of the first triangle is greater than the third side of the second. Let ABC and ABD be the two triangles in which the sides AB, AC are respectively equal to the sides...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...another, but the included angle in the first triangle is greater than the included angle in the second, the third side of the first triangle is greater than the third side of the second. Let ABC and ABD be the two triangles in which the sides AB, AC are respectively equal to the sides...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...or, A С > A E. TRIANGLES. PROPOSITION XXXII. THEOREM. 116. CONVERSELY: If two sides of a triangle be equal respectively to two sides of another, but the third side of the first triangle be greater titan tlie third side of the second, then the angle opposite the third side of the jirst...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...Hyp. Idon. Cons. § 106 PROPOSITION XXXII. THEOREM. ^ 116. CONVERSELY: If two sides of a triangle be equal respectively to two sides of another, but the third side of the flrst triangle be greater than the third side of the second, then the angle opposite the third side...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 436 pages
...С > A E. QED THIANGLES. PROPOSITION XXXII. THEOREM. 116. CONVERSELY: If two sides of a triangle be equal respectively to two sides of another, but the third side of fhe first triangle be greater than the third side of the second, then the angle opposite the third...
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Cornell University Register and Catalogue

Cornell University - 1880 - 868 pages
...but the included angle in the first triangle be greater than the included angle in the second, ti.e third side of -the first triangle is greater than the third side of the second. 3. A straight line perpendicular to a radius at ite extremity is tangent to the circle, a,nd conversely....
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...FOAE; or, A. C> AX. Q, ED PROPOSITION XXXII. THEOREM. 116. CONVERSELY: If 'two sides of a triangle be equal respectively to two sides of another, but the third side of t/nfirst triangle be greater than the third side of the second, then the angle opposite the third side...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...FOAE; or, AC > A E. QED PROPOSITION XXXII. THEOREM. 116. CONVERSELY : .If two sides of a triangle be equal respectively to two sides of another, but the third side of the first triangle be greater than the third side of the second, then the angle opposite the third side of the first triangle...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1882 - 442 pages
..._L is the shortest distance from a point to a plane). .: ZA BA' < Z ABC, § 116 (if two sides ofa&be equal respectively to two sides of another, but the third side of the first Д be greater than the third side of the second, then the Z opposite the third side of the first Л...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...another, but the included angle in the first triangle is greater than the included angle in the second, the third side of the first triangle is greater than the third side of the second. 3. Through any three points, not in the same straight line, a circumference can be made to pass, and...
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