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" ... the third side of the first is greater than the third side of the second. "
Elements of Geometry: Plane geometry - Page 47
by Andrew Wheeler Phillips, Irving Fisher - 1896
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Robbin's New Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...theorems of 62 and 63 are demonstrated by a single use of this method. PBOPOSITION XXVII. THEOREM 91. If two triangles have two sides of one equal to two sides of the other, but the included angle in the first greater than the included angle in the second, the third side of the first...
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Plane Geometry

Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...step (4). QBD PROPOSITION XVI. THEOREM 122. If two triangles have two sides of the one respectively 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. Given A ABC and A DEF...
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Solid Geometry

John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...triangle is greater than the third side. 148. 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 angles opposite these sides are unequal, the greater angle being opposite the greater side. ...
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Plane Geometry

John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...falls within A ABC? 132 148. Theorem. — 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 angles opposite these sides are unequal, the greater angle being opposite the greater side. F C...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...equal to the sum of the other two sides. 11. Two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle is 8 units less than twice third side of the second. If the two triangles are to be made congruent...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...equal to the sum of the other two sides. 11. Two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle is 8 units less than twice third side of the second. If the two triangles are to be made congruent...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...second, then the third side of the first is greater than the third side of the second. 259. Theorem. If two triangles have two sides of one equal to two...other but the third side of the first greater than the thin! side of the second, then the angle opposite the third side of the first is greater than the angle...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...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...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXXI.]...
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Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 346 pages
...the foot of the perpendicular. TESTS FOR UNEQUAL SIDES AND ANGLES IN TWO TRIANGLES 131. THEOREM 59. If two triangles have two sides of one equal to 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...
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Solid Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Solid - 1918 - 232 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...
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