X337

ISOTOMIC CONJUGATE OF X242

X337 is the isotomic conjugate of X242.
< 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) { 12, 85 }: Central Line L(12, 85) { 37, 86 }: Central Line L(37, 86) { 72, 295 }: Central Line L(72, 295) { 201, 348 }: Central Line L(201, 348) { 291, 986 }: Central Line L(291, 986) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_295 = ISOGONAL CONJUGATE OF X(242) (1.0582, 0.0142) X_335 = ISOTOMIC CONJUGATE OF X(239) (1.0387, 0.0318) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_85 = ISOTOMIC CONJUGATE OF X(9) (0.5610, 0.2421) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_348 = ISOTOMIC CONJUGATE OF X(281) (0.4854, 0.1069) X_291 = 2nd SHARYGIN POINT (1.0249, 0.0364) X_986 = INTERSECTION OF LINES X(1)X(3) AND X(8)X(38) (0.5588, 0.2101) X_337 = ISOTOMIC CONJUGATE OF X(242) (1.0936, 0.0108) A B C X295 X335 X12 X85 X37 X86 X72 X201 X348 X291 X986 X337 (a, b, c) = (5, 6, 7) | AB = 1

X337 (ISOTOMIC CONJUGATE OF X242) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\csc A \cot A)/(a^{2} - bc) : (\csc B \cot B)/(b^{2} - ca) : (\csc C \cot C)/(c^{2} - ab)\)
Barycentrics: \((\cot A)/(a^{2} - bc) : (\cot B)/(b^{2} - ca) : (\cot C)/(c^{2} - ab)\)
Search Value (6, 9, 13): \(-0.544995474285\)
▸ Incident Central Lines5 lines

{12, 85}, {37, 86}, {72, 295}, {201, 348}, {291, 986}

▸ Functional Relations2 relations