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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.... "
Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ... - Page 28
by George Roberts Perkins - 1856 - 235 pages
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Educational Foundations: A Text Book for the Professional Teacher, Volume 10

Education - 1899 - 698 pages
...Demonstrate: If two triangles have two sides of one equal respectively to two sides oT the other, but 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. Demonstrate: The line joining the vertex of the right...
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Education in Scotland

Great Britain. Scottish Education Dept - 1896 - 642 pages
...of two circles which intersect in C and D, show that CD is bisected at right angles by AB. 3. If two triangles have two sides of the one respectively equal to two sides of the other, but the contained angles unequal, the base of the triangle which has the greater contained angle shall...
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Proceedings of the Edinburgh Mathematical Society, Volumes 18-20

Edinburgh Mathematical Society - Electronic journals - 1900 - 410 pages
...and EC. Then we can show that AD" and AD' are each less than BE. First, the triangles AD'B and BEA have two sides of the one respectively equal to two sides of the other, but the included angles A and В unequal (since BC> AC). As the angle A > the angle B, wefindBE>AD'....
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...THEOREM 231. If two triangles have tivo sides of one equal respectively to tivo 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. F Given the triangles...
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Van Nostrand's Engineering Magazine, Volume 29

Engineering - 1883 - 562 pages
...every line in the plane radiating from C (Prop. 8). The triangles AGP, BCP and DCP having two sides of one respectively equal to two sides of the other, and the included angles equal, the other sides, AP, BP and DP are equal (Prop. 2). Each point being the same distance...
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