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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. "
Elements of Plane and Solid Geometry - Page 50
by George Albert Wentworth - 1877 - 398 pages
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...which is the greater side, ABor AC1 D PROPOSITION XXXI. THEOREM 129. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the included angle of the first...
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...distant from its sides. THEOREM XXVII. 92. If two triangles have two sides of one equal rospectively to two sides of the other, but the included angle...first greater than the included angle of the second, the third side of the first is greater than the third side of the second. In the triangles ABC and...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...produced. BOOK I. PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 154. If two triangles have two sides of the one equal, respectively, to two sides of the 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...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...greater angle at the center) . /. chord AB > chord DF, Art. 107. (if two A have two sides of one equal to two sides of the other, but the included angle of the first greater, etc.). CONVERSELY. Given the equal circles 0 and Of, and chord AB > chord DF. To prove arc AB > arc...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...greater angle at the center) . .-. chord AB > chord DF, Art. 107. (if two A have two sides of one equal to two sides of the other, but the included angle of the first greater, etc.). CONVERSELY. Given the equal circles 0 and O', and chord AB > chord DF. To prove arc AB > arc...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...ZJS were less than /.E, side AC would be less than side DF, Art. 107. (if two /£. hare two sides of one equal, respectively, to two sides of the other, but the included Z of the first greater than the included /. of the second, then tho third side of the first is greater...
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Catalogue ...

Yale University. Sheffield Scientific School - 1905 - 1074 pages
...different pigments? Give your reasoning. PLANE GEOMETRY JUNE, 1908 1. If two triangles have two sides of one equal respectively to two sides of the other,...angle of the second, then the third side of the first is greater than the third side of the second. State and prove also the converse theorem. 2. If a chord...
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Syllabus of Plane' Geometry: (corresponding to Euclid, Book I-VI) : Prepared ...

Cora Lenore Williams - Geometry - 1905 - 56 pages
...unequal, the greater side being opposite the greater angle. Prop. 42. If two triangles have two sides of the one equal respectively to two sides of the other, but the third sides unequal, then the included angles are unequal, the greater angle being opposite the greater...
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Handbook of Mathematics for Engineers and Engineering Students

Joseph Claudel - Mathematics - 1906 - 758 pages
...and these conditions suffice when they are properly chosen. 658. When two triangles have two sides of one equal respectively to two sides of the other,...angle of the second, then the third side of the first is greater than the third side of the second. Conversely, when two sides of a triangle are equal respectively...
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New Plane Geometry

Webster Wells - Geometry, Plane - 1908 - 208 pages
...line BP. To Prove Z PBM = Z PBN. (', "i / PROP. XXIX. THEOREM 100. If two triangles have two sides of one equal respectively to two sides of the other,...first greater than the included angle of the second, the third side of the first is greater than the third side of the second. F JH G Draw A ABC. Construct...
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