X873

ISOGONAL CONJUGATE OF X872

X873 is the isogonal conjugate of X872.
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 81, 239 }: Central Line L(81, 239) { 86, 310 }: Central Line L(86, 310) { 2, 799 }: Central Line L(2, 799) { 261, 552 }: Central Line L(261, 552) { 689, 741 }: Central Line L(689, 741) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_872 = INTERSECTION OF LINES X(37)X(42) AND X(43)X(75) (0.6029, 0.2656) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_310 = ISOTOMIC CONJUGATE OF X(42) (0.4762, 0.1536) X_2 = CENTROID (0.5374, 0.2000) X_799 = ISOGONAL CONJUGATE OF X(798) (0.0470, 0.3636) X_261 = ISOTOMIC CONJUGATE OF X(12) (0.5072, 0.1625) X_552 = POINT MAIA I (0.6112, 0.3127) X_689 = TRILINEAR POLE OF LINE X(6)X(76) (0.0585, 0.3579) X_741 = EVEN (- 1, 1) CIRCUMCIRCLE POINT (1.0071, 0.0451) X_873 = ISOGONAL CONJUGATE OF X(872) (0.5339, 0.2011) A B C X872 X81 X239 X86 X310 X2 X799 X261 X552 X689 X741 X873 (a, b, c) = (5, 6, 7) | AB = 1

X873 (ISOGONAL CONJUGATE OF X872) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \([a(b + c)] ^{-2} : :\)
Search Value (6, 9, 13): \(2.732631291032\)
▸ Incident Central Lines5 lines

{2, 799}, {81, 239}, {86, 310}, {261, 552}, {689, 741}

▸ Functional Relations6 relations