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" ... the third side of the first is greater than the third side of the second. "
Elements of Geometry: Plane geometry - Page 47
by Andrew Wheeler Phillips, Irving Fisher - 1896
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 338 pages
...XXX. THEOREM 101. (Converse of Prop. XXIX.) If two triangles have two nides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the first is greater than the included angle of the second. Draw A ABC. Draw...
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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...figures are proportional to the squares of any two corresponding sects. IV. OTHER COMPARISONS. (a) If two triangles have two sides of one equal to two sides of the other, then the third side of one is correspondingly greater than, equal to, or less than, the third...
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Second-year Mathematics for Secondary Schools, Volume 2

George William Myers - Mathematics - 1910 - 304 pages
...one triangle are equal to two sides of another triangle, the third side of the first triangle being greater than the third side of the second; then the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second triangle. 191 Given A's PQR...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...(Ax. Ill, 61) AOAC'. (Ax. VII, 82) 118. THEOREM. // in two triangles two sides of the one are equal to two sides of the other but the third side of the first is greater than the third side of the second, then the included angle of the first is greater than...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...(Ax. Ill, 61) AOAC1. (Ax. VII, 82) 118. THEOREM. // in two triangles two sides of the one are equal to two sides of the other but the third side of the first is greater than the third side of the second, then the included angle of the first is greater than...
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Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...Ax. 11 PROPOSITION XXIV. THEOREM 116. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle greater than the third side of the second, then the angle opposite the third side of the first...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...XX. THEOREM (Converse of Prop. XIX) 173. // two triangles have two sides of 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 tlIe angle opposite the third side of the first is greater than the angle opposite the third side of...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...perpendicular can be drawn to the line. 2. If two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the first is greater than the included angle of the second. 3. The medians of...
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Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...the three sides of the other. 132. 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, the angle opposite the third side of the first is greater than the angle opposite the third side of...
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Plane Geometry

Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...ZCAB>ZCAD; Ax. 10 therefore Z (MB > Z B. Why ? 79. Corollary 1. If two triangles have tivo sides of the one equal to two sides of the other, but the third side...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [HINT. Prove by reduction...
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