X2282

X2-ISOCONJUGATE OF X1011

< 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) { 28, 31 }: Central Line L(28, 31) { 2, 71 }: Central Line L(2, 71) { 48, 81 }: Central Line L(48, 81) { 1, 228 }: Central Line L(1, 228) { 63, 274 }: Central Line L(63, 274) { 57, 1409 }: Central Line L(57, 1409) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_2 = CENTROID (0.5374, 0.2000) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_1 = INCENTER (0.5714, 0.2333) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_274 = ISOGONAL CONJUGATE OF X(213) (0.5168, 0.1843) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1409 = -BETH CONJUGATE OF X(71) (0.5848, 0.1701) X_2282 = -ISOCONJUGATE OF X(1011) (0.6256, 0.3687) A B C X28 X31 X2 X71 X48 X81 X1 X228 X63 X274 X57 X1409 X2282 (a, b, c) = (5, 6, 7) | AB = 1

X2282 (X2-ISOCONJUGATE OF X1011) 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 X1011
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.380159907935\)
▸ Incident Central Lines9 lines

{1, 228}, {2, 71}, {28, 31}, {48, 81}, {57, 1409}, {63, 274}, {278, 1400}, {959, 1457}, {961, 1451}