 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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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... the third side of the first is greater than the third side of the second. 
