X2062

ORION TRANSFORM OF X63

< 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, 77 }: Central Line L(3, 77) { 21, 307 }: Central Line L(21, 307) { 284, 2003 }: Central Line L(284, 2003) { 1167, 1672 }: Central Line L(1167, 1672) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_307 = ISOTOMIC CONJUGATE OF X(29) (0.4659, 0.0959) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_2003 = ORTHOCORRESPONDENT OF X(36) (0.5923, 0.2428) X_1167 = 1st SARAGOSSA POINT OF X(34) (0.5172, 0.1910) X_1672 = INSIMILICENTER(INCIRCLE, 1st LEMOINE CIRCLE) (0.5619, 0.2116) X_2062 = ORION TRANSFORM OF X(63) (0.3415, -0.0650) A B C X3 X77 X21 X307 X284 X2003 X1167 X1672 X2062 (a, b, c) = (5, 6, 7) | AB = 1

X2062 (ORION TRANSFORM OF X63) 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 given just above X2055, using X = X63
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.232092487103\)
▸ Incident Central Lines4 lines

{3, 77}, {21, 307}, {284, 2003}, {1167, 1672}