X1246

ISOGONAL CONJUGATE OF X1011

X1246 is the isogonal conjugate of X1011.
< 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) { 6, 27 }: Central Line L(6, 27) { 2, 71 }: Central Line L(2, 71) { 7, 73 }: Central Line L(7, 73) { 3, 86 }: Central Line L(3, 86) { 72, 75 }: Central Line L(72, 75) { 65, 273 }: Central Line L(65, 273) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1011 = INTERCEPT OF EULER LINE AND LINE X(6)X(31) (0.5156, 0.1429) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_2 = CENTROID (0.5374, 0.2000) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_7 = GERGONNE POINT (0.5903, 0.2769) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_273 = ISOGONAL CONJUGATE OF X(212) (0.6191, 0.4329) X_1246 = ISOGONAL CONJUGATE OF X(1011) (0.6087, 0.3364) A B C X1011 X6 X27 X2 X71 X7 X73 X3 X86 X72 X75 X65 X273 X1246 (a, b, c) = (5, 6, 7) | AB = 1

X1246 (ISOGONAL CONJUGATE OF X1011) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as in X1011
Search Value (6, 9, 13): \(-0.932224813248\)
▸ Incident Central Lines7 lines

{2, 71}, {3, 86}, {6, 27}, {7, 73}, {65, 273}, {69, 310}, {72, 75}

▸ Functional Relations4 relations