X2311

X2-ISOCONJUGATE OF X1284

X2311 = polar conjugate of isotomic conjugate of X1808
< 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) { 41, 60 }: Central Line L(41, 60) { 58, 101 }: Central Line L(58, 101) { 9, 261 }: Central Line L(9, 261) { 28, 291 }: Central Line L(28, 291) { 272, 335 }: Central Line L(272, 335) { 21, 644 }: Central Line L(21, 644) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_9 = MITTENPUNKT (0.5110, 0.1615) X_261 = ISOTOMIC CONJUGATE OF X(12) (0.5072, 0.1625) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_291 = 2nd SHARYGIN POINT (1.0249, 0.0364) X_272 = ISOGONAL CONJUGATE OF X(209) (-0.2458, -0.0534) X_335 = ISOTOMIC CONJUGATE OF X(239) (1.0387, 0.0318) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_644 = TRILINEAR MULTIPLIER FOR YFF PARABOLA (-0.0171, 0.3359) X_2311 = -ISOCONJUGATE OF X(1284) (1.0300, 0.0312) A B C X41 X60 X58 X101 X9 X261 X28 X291 X272 X335 X21 X644 X2311 (a, b, c) = (5, 6, 7) | AB = 1

X2311 (X2-ISOCONJUGATE OF X1284) 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 X1284
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.181044395364\)
▸ Incident Central Lines14 lines

{6, 694}, {9, 261}, {21, 644}, {28, 291}, {41, 60}, {58, 101}, {110, 2112}, {272, 335}, {284, 2330}, {651, 1014}, {672, 1931}, {759, 813}, {1580, 1581}, {2189, 2212}

▸ Functional Relations3 relations