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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.... "
Elements of Plane and Solid Geometry - Page 53
by Alan Sanders - 1903 - 384 pages
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

William Nicholson - Natural history - 1809 - 716 pages
...and fundamental propositions in elementary geometry. Thus it is proved, that two triangles, having two sides of the one equal respectively to two sides of the other, and the two included angles equal, are equal in all respects ; and two triangles, having one side and the....
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 1

William Nicholson - Arts - 1819 - 432 pages
...and fundamental propositions in elementary geometry. Thus it is proved, that two triangles, having two sides of the one equal respectively to two sides of the other, and the two included angles equal, are equal in all respects ; and two triangles, having one side and the adjacent...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...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 included...
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The Geometrical Companion, in which the Elements of Abstract Geometry are ...

George Darley - Geometry - 1828 - 190 pages
...thicken upon us in the few next pages. LESSON I. ARTICLE 1. " If there be two triangles which have hvo sides of the one equal, respectively, to two sides of the other; and likewise the angles contained by those sides equal to one another : then the bases or third sides of...
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A Treatise on Algebra

George Peacock - Algebra - 1830 - 732 pages
...also tor the third jf we should take, therefore, as in Geometry, two triangles which have two sides of one equal respectively to two sides of the other, and the included angles equal, then the respective equality of the remaining angles in each triangle to each other, and also...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 172 pages
...sides contain the greater angle is greater than the base of the other triangle, ibid. ART. 45. If two triangles have two sides of the one equal respectively to two sides of the other, but their bases unequal,—the vertical angle of that triangle which has the greater base is greater...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...parallel to the base. 40. To describe a triangle equal to a given quadrilateral figure. 41. If two triangles have two sides of the one equal respectively to two sides of the other, and have likewise the contained angles supplementary, the triangles are equal in area. 42. To bisect a...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...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 AEI be...
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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
...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 greater included...
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A Treatise on Special Or Elementary Geometry

Edward Olney - Geometry - 1872 - 472 pages
...210. PROPOSITION X. 293. Theorem,, — If two triangles have two sides of t¡te one respectively equal to two sides of the other, and the included angles...to the triangle having the greater included angle. ELEMENTARY PLANE GEOMETRY. DEM.— Let ACB and DEF be two triangles having AC = DF, CB = FE, and C...
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