X2156

X2-ISOCONJUGATE OF X22

X2156 = isogonal conjugate of X1760
< 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) { 38, 48 }: Central Line L(38, 48) { 66, 71 }: Central Line L(66, 71) { 63, 1930 }: Central Line L(63, 1930) { 31, 2083 }: Central Line L(31, 2083) { 561, 1760 }: Central Line L(561, 1760) { 1748, 1821 }: Central Line L(1748, 1821) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1760 = MIMOSA TRANSFORM OF X(305) (0.3719, -0.0901) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_66 = ISOGONAL CONJUGATE OF X(22) (0.5912, 1.0593) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_1930 = BICENTRIC SUM OF PU(14) (0.4644, 0.1374) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_2083 = NK-TRANSFORM OF X(19) (0.6347, 0.1449) X_561 = ISOGONAL CONJUGATE OF 4th POWER POINT (0.4126, 0.1125) X_1748 = MIMOSA TRANSFORM OF X(264) (0.6706, 0.5179) X_1821 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(287) (0.8340, -0.1768) X_2156 = -ISOCONJUGATE OF X(22) (0.5755, 0.9221) A B C X1760 X38 X48 X66 X71 X63 X1930 X31 X2083 X561 X1748 X1821 X2156 (a, b, c) = (5, 6, 7) | AB = 1

X2156 (X2-ISOCONJUGATE OF X22) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X22
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-21.798407322149\)
▸ Incident Central Lines10 lines

{31, 2083}, {38, 48}, {63, 1930}, {66, 71}, {228, 2353}, {561, 1760}, {1289, 2249}, {1409, 2273}, {1748, 1821}, {1755, 1820}

▸ Functional Relations4 relations