X2912

ORTHIC-ISOGONAL CONJUGATE OF X61

X2912 is the orthic-isogonal conjugate of X61.
< 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) { 5, 16 }: Central Line L(5, 16) { 61, 143 }: Central Line L(61, 143) { 62, 184 }: Central Line L(62, 184) { 17, 2004 }: Central Line L(17, 2004) { 52, 2903 }: Central Line L(52, 2903) { 571, 2913 }: Central Line L(571, 2913) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_61 = ISOGONAL CONJUGATE OF X(17) (0.5764, 0.2283) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_143 = NINE-POINT CENTER OF ORTHIC TRIANGLE (0.6358, 0.3534) X_62 = ISOGONAL CONJUGATE OF X(18) (0.6446, 0.3409) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_17 = 1st NAPOLEON POINT (0.5666, 0.2383) X_2004 = ORTHOCORRESPONDENT OF X(61) (0.6075, 0.3138) X_52 = ORTHOCENTER OF ORTHIC TRIANGLE (0.7155, 0.4580) X_2903 = ORTHIC-ISOGONAL CONJUGATE OF X(16) (0.3913, 0.4165) X_571 = ORTHOHARMONIC OF X(52) (0.7141, 0.4556) X_2913 = ORTHIC-ISOGONAL CONJUGATE OF X(62) (0.5697, 0.4474) X_2912 = ORTHIC-ISOGONAL CONJUGATE OF X(61) (0.6835, 0.4539) A B C X4 X61 X5 X16 X143 X62 X184 X17 X2004 X52 X2903 X571 X2913 X2912 (a, b, c) = (5, 6, 7) | AB = 1

X2912 (ORTHIC-ISOGONAL CONJUGATE OF X61) 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): \(-1.167002920817\)
▸ Incident Central Lines6 lines

{5, 16}, {17, 2004}, {52, 2903}, {61, 143}, {62, 184}, {571, 2913}

▸ Functional Relations1 relation