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" If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. If two triangles have two sides of... "
Plane and Solid Geometry - Page 42
by Elmer Adelbert Lyman - 1908 - 340 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...therefore, still more is BO+OCZBA+ AC. THEOREM. ^ 0 -— ' 42. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides will be unequal ; and the greater side, will belong to the triangle which has the greater...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...BD+DC ; therefore, still more is BO+OC L BA + AC. THEOREM. 42. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, tJie third sides will be unequal ; and the greater side, will belong to the triangle which has the...
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London Medical Gazette: Or, Journal of Practical Medicine, Volume 47

1851 - 1152 pages
...of Л and B. 6. Solve the following equations :— (1.) 3*-fl-ar-l-2r-f 5 д-lx + l 2*2-2 (2.) . 7. If two triangles have two sides of'!»' one respectively equal to two sides of ik other, and the contained angles equal, Pn'" t liāt the triangles will be equal in <**? respect....
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...sides containing the right angle of the other. THEOREM XXI. If two triangles have 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 third side of the first will...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1860 - 474 pages
...sides containing the right angle of the other. • THEOREM XXI. If two triangles have 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, th'> third side of the first will...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...determine a triangle. UNEQUAL TRIANGLES. 293. Theorem — When two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third side in that triangle which has the greater angle, is greater than in the other. Let BCD and...
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The Educational Journal of Virginia

Charles Henry Winston, Richard M. Smith, D. Lee Powell, John Meredith Strother, H. H. Harris, John Patrick McGuire, Rodes Massie, William Fayette Fox, Harry Fishburne Estill (F.), Richard Ratcliffe Farr, John Lee Buchanan, George R. Pace - Education - 1882 - 580 pages
...abstraction. Now make the same statement in geometrical language. If two triangles have hvo sides of the one equal to two sides of the other and the included angles unequal, the third sides will be unequal also, and the greater third side will be in that triangle which has the...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 262 pages
...triangles as in the f)gure; draw BE bisecting the angle CHS, and join C and E.) 80. (Converse of 79.) If two triangles have two sides of one respectively equal to two sides of the other, but the third sides unequal, the included angle of the one having the third side greater is greater...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...bisected, any other line drawn through the point of bisection and joining the parallels is bisected. 79. If two triangles have two sides of one respectively equal to two sides of the other, but the included angles unequal, the third side of the one having the included angle greater is greater...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - Geometry - 1873 - 288 pages
...determine a triangle. 98 UNEQUAL TRIANGLES. 393. Theorem — When two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third side in that triangle which has the greater angle, is greater than in the other. Let BCD and...
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