X307

ISOTOMIC CONJUGATE OF X29

X307 is the isotomic conjugate of X29.
< 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) { 2, 7 }: Centroid–Gergonne Line { 69, 73 }: Central Line L(69, 73) { 8, 253 }: Central Line L(8, 253) { 75, 225 }: Central Line L(75, 225) { 86, 283 }: Central Line L(86, 283) { 141, 241 }: Central Line L(141, 241) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_2 = CENTROID (0.5374, 0.2000) X_7 = GERGONNE POINT (0.5903, 0.2769) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_8 = NAGEL POINT (0.4694, 0.1333) X_253 = -CROSS CONJUGATE OF X(2) (3.5087, 32.5688) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_241 = -LINE CONJUGATE OF X(55) (1.1217, 1.2442) X_307 = ISOTOMIC CONJUGATE OF X(29) (0.4659, 0.0959) A B C X29 X2 X7 X69 X73 X8 X253 X75 X225 X86 X283 X141 X241 X307 (a, b, c) = (5, 6, 7) | AB = 1

X307 (ISOTOMIC CONJUGATE OF X29) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(b^{2}c^{2}(b + c)(\cos A)/(b + c - a)\)
Barycentrics: \((\csc A) (\sec B + \sec C) : :\)
Search Value (6, 9, 13): \(16.596891680868\)
▸ Incident Central Lines10 lines

{2, 7}, {8, 253}, {69, 73}, {75, 225}, {86, 283}, {95, 320}, {141, 241}, {269, 936}, {319, 664}, {948, 966}

▸ Functional Relations9 relations