X2168

X2-ISOCONJUGATE OF X52

X2168 = cevapoint of X48 and X1820
< 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) { 10, 96 }: Central Line L(10, 96) { 48, 91 }: Central Line L(48, 91) { 1, 563 }: Central Line L(1, 563) { 75, 2167 }: Central Line L(75, 2167) { 921, 2169 }: Central Line L(921, 2169) { 1953, 2216 }: Central Line L(1953, 2216) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_1820 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(264) (-0.0663, -0.0078) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_96 = ISOGONAL CONJUGATE OF X(52) (-0.0943, -0.0197) X_91 = ISOGONAL CONJUGATE OF X(47) (-0.0865, -0.0205) X_1 = INCENTER (0.5714, 0.2333) X_563 = TRILINEAR PRODUCT X(47)*X(48) (0.8122, 0.3243) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_2167 = -ISOCONJUGATE OF X(51) (0.5550, 0.1860) X_921 = ISOGONAL CONJUGATE OF X(920) (7.0160, 1.3242) X_2169 = -ISOCONJUGATE OF X(53) (0.5228, 0.0936) X_1953 = BICENTRIC SUM OF PU(21) (0.5856, 0.2841) X_2216 = -ISOCONJUGATE OF X(570) (0.6037, 0.2921) X_2168 = -ISOCONJUGATE OF X(52) (-0.1206, -0.0284) A B C X48 X1820 X10 X96 X91 X1 X563 X75 X2167 X921 X2169 X1953 X2216 X2168 (a, b, c) = (5, 6, 7) | AB = 1

X2168 (X2-ISOCONJUGATE OF X52) 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 X52
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.798293802511\)
▸ Incident Central Lines6 lines

{1, 563}, {10, 96}, {48, 91}, {75, 2167}, {921, 2169}, {1953, 2216}

▸ Functional Relations2 relations