| 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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