 ... 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 46by Andrew Wheeler Phillips, Irving Fisher - 1896Full view - About this book
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...of the 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...first is greater than the third side of the second. C' Given &ABC and A'ffC in which AB=A'ff, BC=B'C and R-^ / ff. To prove that AC> A'C'. Proof: Place... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1910 - 202 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. Draw A ABC and KLM, having sides AC(b) and CB(a) respectively equal to MK(l) and ML(k), and /. We now... | |
 | Geometry, Plane - 1911 - 192 pages
...State at the head of your paper what text-book you have studied on the subject and to what extent.) 1. If two triangles have two sides of one equal respectively...first is greater than the third side of the second. State and prove the converse theorem. 2. To divide a given straight line into segments proportional... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...angle is greater than the side opposite the less angle. (6) When the lines are in different triangles: If two triangles have two sides of one equal respectively...first is greater than the third side of the second. (c) Every point not in the perpendicular bisector of a line is not equidistant from the ends of the... | |
 | 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...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 the... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...angle is greater than the side opposite the less angle. (6) When the lines are in different triangles: If two triangles have two sides of one equal respectively...first is greater than the third side of the second. (c) Every point not in the perpendicular bisector of a line is not equidistant from the ends of the... | |
 | 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... | |
 | 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,...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 AB. A'C'... | |
| |
