X1266

ISOTOMIC CONJUGATE OF X1120

X1266 is the isotomic conjugate of X1120.
< 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, 75 }: Central Line L(10, 75) { 7, 145 }: Central Line L(7, 145) { 142, 192 }: Central Line L(142, 192) { 44, 545 }: Central Line L(44, 545) { 239, 527 }: Central Line L(239, 527) { 320, 519 }: Central Line L(320, 519) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1120 = -BLAIKIE TRANSFORM OF X(1) (1.2041, 0.2000) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_7 = GERGONNE POINT (0.5903, 0.2769) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_142 = COMPLEMENT OF X(9) (0.5506, 0.2192) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_545 = DIRECTION OF VECTOR AX + BX + CX, where X = X(190) (-0.0013, 0.4328) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_527 = DIRECTION OF VECTOR AX + BX + CX, where X = X(7) (0.8698, 0.6836) X_320 = ISOTOMIC CONJUGATE OF X(80) (-2.6735, -3.5993) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_1266 = ISOTOMIC CONJUGATE OF X(1120) (2.8367, 1.7996) A B C X1120 X10 X75 X7 X145 X142 X192 X44 X545 X239 X527 X320 X519 X1266 (a, b, c) = (5, 6, 7) | AB = 1

X1266 (ISOTOMIC CONJUGATE OF X1120) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(a^{2}f(a,b,c)) : 1/(b^{2}f(b,c,a)) : 1/(c^{2}f(c,a,b))\), where f(a,b,c) is as in X1120)
Search Value (6, 9, 13): \(-9.167258763001\)
▸ Incident Central Lines8 lines

{7, 145}, {10, 75}, {44, 545}, {142, 192}, {239, 527}, {320, 519}, {522, 693}, {536, 1086}

▸ Functional Relations4 relations