 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...paragraph, as in Prop. XLIV. This form will be called outline of proof. PROPOSITION XIX. THEOREM 172. If two triangles have two sides of one equal respectively...first is greater than the third side of the second. Given two A ABC and DEF with AB = DE, BC = EF, but 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. To prove AC... | |
 | David Eugene Smith - Geometry - 1911 - 360 pages
...the '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...first is greater than the third side of the second, and conversely. AB, or above AB. As an exercise for pupils all three may be considered if desired.... | |
 | David Eugene Smith - Geometry - 1911 - 358 pages
...sides of the other, but the included angle of the first triangle greater than the included angle of YY the second, then the third side of the first is greater than the third side of the second, and conversely. AB, or above AB. As an exercise for pupils all three may be considered if desired.... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...perimeter of the octagon is greater than the perimeter of the square. PROPOSITION XXXI. THEOREM 231. If two triangles have two sides of one equal respectively...first is greater than the third side of the second. Given the triangles ABC and DEF, in which AB equals DE, AC equals DF, and the angle A is greater than... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...perimeter of the octagon is greater than the perimeter of the square. PROPOSITION XXXI. THEOREM 231. If two triangles have two sides of one equal respectively...first is greater than the third side of the second. F Given the triangles ABC and DEF, in which AB equals DE, AC equals DF, and the angle A is greater... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...paragraph, as in Prop. XLIV. This form will be called outline of proof. PROPOSITION XIX. THEOREM 172. If two triangles have two sides of one equal respectively...first is greater than the third side of the second. Given two A ABC and DEF with AB = DE, BO = EF, but Z.ABO ZE To prove AC > DF. 1. 2. 3. 4. 5. 6. 7.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 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,...first is greater than the third side of the second. Given A ABC and A'B'C' with A' Proof STATEMENTS Apply A A'B'C' to A ABC so that A'B' coincides with... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 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,...first is greater than the third side of the second. Given A ABC and A'B'C' with UNEQUAL LINES AND UNEQUAL ANGLES Proof STATEMENTS Apply A A'B'C' to A ABC... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...side is opposite the greater angle. 76. Corollary 1. If two triangles have two sides of the one equal to two sides of the other, but the included angle...first is greater than the third side of the second. 77. Corollary 2. If two oblique lines are drawn from a point C in a perpendicular CD to a line AB,... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...angle. 76. Corollary 1. Iftwo triangles have two sides of the one equal to two sides of the other, l)nt the included angle of the first greater than the included...first is greater than the third side of the second. 77. Corollary 2. If two oblique lines are drawn from a point C in a perpendicular CD to a line AB,... | |
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If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.... 
