释义 |
ExradiusThe Radius of an Excircle. Let a Triangle have exradius (sometimes denoted ),opposite side and angle , Area , and Semiperimeter . Then
(Johnson 1929, p. 189), where is the Circumradius. Let be the Inradius, then
 | (4) |
 | (5) |
 | (6) |
Some fascinating Formulas due to Feuerbach are
 | (7) |
 | (8) |
 | (9) |
 | (10) |
 | (11) |
(Johnson 1929, pp. 190-191).See also Circle, Circumradius, Excircle, Inradius, Radius References
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, 1929.Mackay, J. S. ``Formulas Connected with the Radii of the Incircle and Excircles of a Triangle.'' Proc. Edinburgh Math. Soc. 12, 86-105. Mackay, J. S. ``Formulas Connected with the Radii of the Incircle and Excircles of a Triangle.'' Proc. Edinburgh Math. Soc. 13, 103-104. |