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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 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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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...taken so that ZACD>DCB, then AD>DB. 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, then the included angle of the first...
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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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Bulletin

Education - 1921 - 1190 pages
...triangle are equal respectively to two sides of another triangle, 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 the third side of the second, and conversely. (r) If two chords are unequal, the greater...
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Bulletin, Issues 25-53

United States. Office of Education - 1921 - 1286 pages
...triangle are equal respectively to two sides of another triangle, 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 the third side of the second, and conversely. (r) If two chords are unequal, the greater...
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...the common internal tangents to the earth and sun. 330. Theorem. 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. FIG. 338 Given the triangles ABC and A'B'C', with AB...
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The Reorganization of Mathematics in Secondary Education

National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...triangle are equal respectively to two sides of another triangle, 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 the third side of the second, and conversely. (c) If two chords are unequal, the greater...
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Drill Book in Plane Geometry

Robert Remington Goff - 1922 - 136 pages
...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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Plane Geometry

Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...1. Why? 2. Post. 3. 3. Ax. 9. c, 76. Corollary 1. // two triangles have two sides of the on.e equal to two sides of the other, but the included angle...angle of the second, then the third side of the first is greater than the third side of the second. [HINT. In the A ABC and A 'B'C' suppose AB = A'B', EC...
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