X2537

EXSIMILICENTER(CIRCUMCIRCLE, SPIEKER RADICAL CIRCLE)

X2537 is the exsimilicenter(circumcircle, Spieker radical circle).
< 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) { 3, 10 }: Central Line L(3, 10) { 55, 2534 }: Central Line L(55, 2534) { 56, 2535 }: Central Line L(56, 2535) { 2, 2540 }: Central Line L(2, 2540) { 4, 2541 }: Central Line L(4, 2541) { 386, 2539 }: Central Line L(386, 2539) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_2536 = INSIMILICENTER(CIRCUMCIRCLE, SPIEKER RADICAL CIRCLE) (0.5089, 0.1377) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_2534 = INSIMILICENTER(INCIRCLE, SPIEKER RADICAL CIRCLE) (0.5580, 0.2201) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_2535 = EXSIMILICENTER(INCIRCLE, SPIEKER RADICAL CIRCLE) (0.5998, 0.2610) X_2 = CENTROID (0.5374, 0.2000) X_2540 = INSIMILICENTER(NINE-POINT CIRCLE, SPIEKER RADICAL CIRCLE) (0.5461, 0.2305) X_4 = ORTHOCENTER (0.6122, 0.3958) X_2541 = EXSIMILICENTER(NINE-POINT CIRCLE, SPIEKER RADICAL CIRCLE) (0.5790, 0.2909) X_386 = INVERSE-IN-BROCARD-CIRCLE OF X(58) (0.5912, 0.2526) X_2539 = EXSIMILICENTER(APOLLONIUS CIRCLE, SPIEKER RADICAL CIRCLE) (0.6626, 0.4446) X_2537 = EXSIMILICENTER(CIRCUMCIRCLE, SPIEKER RADICAL CIRCLE) (0.4272, -0.1877) A B C X573 X2536 X3 X10 X55 X2534 X56 X2535 X2 X2540 X4 X2541 X386 X2539 X2537 (a, b, c) = (5, 6, 7) | AB = 1

X2537 (EXSIMILICENTER(CIRCUMCIRCLE, SPIEKER RADICAL CIRCLE)) 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 \(f(a,b,c) = bc[(b + c)r - ad \cos A]\), where \(d = (r^{2} + s^{2})^{1/2}\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-67.979408731532\)
▸ Incident Central Lines7 lines

{2, 2540}, {3, 10}, {4, 2541}, {55, 2534}, {56, 2535}, {386, 2539}, {573, 2538}

▸ Functional Relations1 relation

Notes

See X2534.