 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....  Elements of Plane and Solid Geometry - Page 53by Alan Sanders - 1908 - 384 pagesFull view - About this book
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...the triangle DEC, the proof is similar to the one given above. PROPOSITION XXXII. THEOREM 232. 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 angle opposite... | |
 | Joseph Solomon - 1912 - 140 pages
...WilliarruTames," Contemporary Review, June, 1911. 233. the complete equality of two triangles that have two sides of the one equal respectively to two sides of the other and their included angles equal. But futurity, you say, is no illusion. I grant it. We feel time to be... | |
 | Great Britain. Board of Education - Education - 1912 - 1044 pages
...every case where a construction is made a complete explanation of the work must be given.~\ 1. If two triangles have two sides of the one equal respectively to two sides of the other, but the contained angles not equal, prove that that triangle in which the contained angle is greater... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...they have the three sides of the one equal, respectively, to the three sides of the other. 132. 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, the angle opposite the third... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...the triangle DEC, the proof is similar to the one given above. PROPOSITION XXXII. THEOREM 232. 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 angle opposite... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...without violating the given condition, .'. BOCA. QED TRIANGLES PROPOSITION XXIII. THEOREM 115. If two triangles have two sides of 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 the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...perimeter of the triangle. [See 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, but the included angle of the first greater than the included angle of the second, then the third side... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...perimeter of the triangle. [See 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, but the included angle of the first greater than the included angle of the second, then the third side... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...the A KP8 and A'Pi, /iP is common, PS = PL, (3) but KL < KS, (ยง 96) and .-. Z. KPL < Z. KPS. (If two triangles have two sides of the one equal respectively to two sides of the other but the third side of the first less than the third side of the second, then the angle opposite the... | |
 | Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...twice tl.e first side and that the third side shall be 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... | |
| |
