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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 Geometry - Page 36
by Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 pages
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...line. 33. If in two triangles two sides of one are equal respectively 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 the included angle of the second. 34. Two lines...
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Plane Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...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 FGH, in which AB equals FG, BC equals GH, and the angle ABC is greater than the...
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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...first is greater than the third side of the second, and conversely. (r) If two chords are unequal, the greater is at the less distance from the center,...
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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...first is greater than the third side of the second, and conversely. (r) If two chords are unequal, the greater is at the less distance from the center,...
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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...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. Prop. 20. // two triangles have two sides of one equal respectively to two sides of the other, but...
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...of the penumbra are determined by the common internal tangents to the earth and sun. 330. Theorem. If two triangles have two sides of one equal respectively...first is greater than the third side of the second. FIG. 338 Given the triangles ABC and A'B'C', with AB equal to A'B', AC equal to A'C', and angle A greater...
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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...first is greater than the third side of the second, and conversely. (c) If two chords are unequal, the greater is at the less distance from the center,...
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Drill Book in Plane Geometry

Robert Remington Goff - 1922 - 136 pages
...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. 195. h. Unequal arcs are subtended by unequal chords. i. The chord nearer the center is the greater....
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Solid Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...two sides of the other, but the included angle of one greater than the included angle of the other, the third side of the first is greater than the third side of the second. THEOREM 60. If two' triangles have two sides of one equal to two sides of the other, but the third...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...practical problems, p. 289, No. 21.] PROPOSITION XXXI. THEOREM 132. If two triangles have two sides of the one equal respectively to two sides of the other,...is greater than the third side of the second. Given A ABC and A'B'C' with AB=A'£'; AC=AC"; ZA>ZA'. UNEQUAL LINES AND UNEQUAL ANGLES Proof STATEMENTS Apply...
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