 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...XVII. THEOREM 171 If two sides of one triangle are equal respectively to two sides of another, but the third side of the first is greater than the third side of the second, the angle opposite the third side of the first is greater than the angle opposite the third side of... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...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 is greater than the third side of the second. If. 34 To Prove: AC> DP. Proof : Place the A DEF upon A ABC so that line DE coincides with its equal... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 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. •B —^^^m e G Draw A ABC. Construct ZF<^ACB. Draw lines FD (e) and FE (cf) equal to CA (6) and CB... | |
 | Webster Wells - Geometry - 1908 - 336 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. r Draw A AB C. Construct ZF < ZA CB. Draw lines FD (e) and FE (cT) equal to CA (6) and CB (a), respectively.... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...bisected by the line AX. QEF PROPOSITION XXIV. THEOREM. 131. 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. c Given As ABC and DBF, in which AB = D£, AC = DF, and £ EDF > £ A. To prove EF > BC. Proof. Apply... | |
 | 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... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 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. YY Given the triangles ABC and XYZ, with CA equal to ZX and BC equal to YZ, but with the angle C greater... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 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. 0' Given &ABC and A'ffC in which AB=A'BI, BC = B'C and D^ / a To prove that AC> A'C1. 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
...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... | |
| |
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.... 
