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" If two triangles have two sides of one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second... "
A Text-book of Geometry - Page 46
by George Albert Wentworth - 1888 - 386 pages
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...transversal, the alternate exterior angles are equal. § 258. Theorem. If two triangles have two sides of 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

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...exterior angles are equal. Prove by the indirect method. 258. Theorem. // two triangles have two sides of 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 Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...GEOMETRY: BOOK I UNEQUAL PARTS DT TWO TRIANGLES 139. THEOREM XI. If in two triangles two sides of one are equal respectively to two sides of the other, but the included angle of the first is greater than the included angle of the second, then the third side of the first is greater than...
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Plane Geometry, with Problems and Application

Herbert Ellsworth Slaught - Mathematics - 1918 - 344 pages
...GEOMETRY: BOOK I UNEQUAL PARTS IN TWO TRIANGLES 139. THEOREM XI. If in two triangles two sides of one are equal respectively to two sides of the other, but the included angle of the first is greater than the included angle of the second, then the third side of the first is greater than...
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Plane Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...Theorem 42 150. If two triangles have two sides of one equal respectively to two sides of the other and the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second. Given the triangles ABC and...
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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...sides is greater than the angle opposite the shorter. Prop. 19. // 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. Prop. 20. // two triangles...
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Drill Book in Plane Geometry

Robert Remington Goff - 1922 - 136 pages
...the second, the third side of the fitst is greater than the third side of the second. *I42. // 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 included angle of the first...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...ZB, and a point so that ZACD>DCB, then AD>DB. in AB be taken PROPOSITION XXXII. THEOREM 133. 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, PLANE GEOMETRY then the included...
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Procedures in High-school Teaching

Douglas Waples - Education, Secondary - 1924 - 382 pages
...of the second, the third side of the first is greater than the third side of the second." * 6. "Two triangles have two sides of the one equal respectively...of the other, but the included angle of the first is greater than the included angle of the second. What do you think will be true of the third side?...
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Procedures in High-school Teaching

Douglas Waples - Education, Secondary - 1924 - 378 pages
...each subject illustrated. 1. a. "Prove the following proposition: If two tri angles have two sides of one equal respectively to two sides of the other, but the included angle of the first is greater than the included angle of the second, the third side of the first is greater than the third...
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