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" ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second. "
Plane and Solid Geometry - Page 38
by Isaac Newton Failor - 1906 - 418 pages
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...sides of the one respectively equal to two 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 will be greater than the third side of the second. FIRST BOOK. In the two triangles ABC and DEF, suppose...
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 376 pages
...each to 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 to 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
...two sides of the one respectively equal to two sides of the other and the included angle of the first greater than the included angle of the second, 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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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...sides of the one equal to two sides of the other, each to each, but the included angle of the first greater than the included angle of the second, the third side of the first will be greater than the third side of the second. QUERIES. 1. What is the general statement 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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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second. 153. If two sides of a triangle are equal respectively to two sides of another, but the third side...
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Elements of Geometry, Part 1

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 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.] . CONSTRUCTION. To form a triangle when two sides, m and n, and an angle opposite one of them, a, are...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 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. GIVEN— two triangles ABC and A'B'C having AB=A'B' and AC— AC, but angle ^4>angle A. To PROVE nC>B'C....
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