X2955

EXCENTRAL-ISOGONAL CONJUGATE OF X72

X2955 is the excentral-isogonal conjugate of X72.
< 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) { 1, 951 }: Central Line L(1, 951) { 35, 1718 }: Central Line L(35, 1718) { 40, 1723 }: Central Line L(40, 1723) { 4, 1781 }: Central Line L(4, 1781) { 165, 1722 }: Central Line L(165, 1722) { 1779, 2941 }: Central Line L(1779, 2941) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_950 = CROSSPOINT OF X(8) AND X(29) (0.5621, 0.1961) X_1 = INCENTER (0.5714, 0.2333) X_951 = ISOGONAL CONJUGATE OF X(950) (0.5800, 0.2727) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_1718 = MIMOSA TRANSFORM OF X(36) (0.1143, 0.6999) X_40 = BEVAN POINT (0.4286, -0.0292) X_1723 = MIMOSA TRANSFORM OF X(57) (0.7970, 0.5012) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1781 = MIMOSA TRANSFORM OF X(1214) (0.5847, 0.2809) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_1722 = MIMOSA TRANSFORM OF X(56) (0.8571, 0.5132) X_1779 = MIMOSA TRANSFORM OF X(1172) (0.7904, 0.5270) X_2941 = EXCENTRAL-ISOGONAL CONJUGATE OF X(6) (0.4105, -0.0764) X_2955 = EXCENTRAL-ISOGONAL CONJUGATE OF X(72) (0.5534, 0.1505) A B C X950 X1 X951 X35 X1718 X40 X1723 X4 X1781 X165 X1722 X1779 X2941 X2955 (a, b, c) = (5, 6, 7) | AB = 1

X2955 (EXCENTRAL-ISOGONAL CONJUGATE OF X72) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(5.433207007774\)
▸ Incident Central Lines6 lines

{1, 951}, {4, 1781}, {35, 1718}, {40, 1723}, {165, 1722}, {1779, 2941}

▸ Functional Relations2 relations