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" Conversely, when two sides of a triangle are equal respectively to two sides of another, but the third side of the first is greater than the third side of the second... "
Solid Geometry - Page 253
by John H. Williams, Kenneth P. Williams - 1916 - 162 pages
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 376 pages
...each, and if the included angle in the first triangle is greater than the included angle in the second, the third side of the first is greater than the third side of the second, and conversely. 1st. Let ACD and PQR be two triangles in which AC is equal to PQ, CD to QR and ACD...
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 412 pages
...each, and if the included angle in the first triangle is greater than the included angle in the second, the third side of the first is greater than the third side of /he second, and conversely. 1st. Let ACD and PQR be two triangles in which AC is equal to PQ» CD to...
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Harvard Examination Papers

Robert Fowler Leighton - 1877 - 372 pages
...sides of the other and the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second. 3. Show how to draw a tangent to a circle from a point without the circle, and prove your method correct....
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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...
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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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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...
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Report of the School Committee of the City of Providence, Presented to the ...

Public schools - 1884 - 634 pages
...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. 8. Prove that if the middle points of the three sides of a triangle be joined, the triangle formed...
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A Mathematical Solution Book Containing Systematic Solutions to Many of the ...

Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...sides of the other, and the included angles of the first greater than that of the second, prove that the third side of the first is greater than the third side of the second. Also prove the converse of this theorem. 3. Similar triangles (and similar polygons) are to each other...
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