X335

ISOTOMIC CONJUGATE OF X239

X335 is the isotomic conjugate of X239.
< 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, 38 }: Central Line L(2, 38) { 37, 86 }: Central Line L(37, 86) { 7, 192 }: Central Line L(7, 192) { 75, 141 }: Central Line L(75, 141) { 27, 295 }: Central Line L(27, 295) { 310, 321 }: Central Line L(310, 321) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_2 = CENTROID (0.5374, 0.2000) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_7 = GERGONNE POINT (0.5903, 0.2769) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_295 = ISOGONAL CONJUGATE OF X(242) (1.0582, 0.0142) X_310 = ISOTOMIC CONJUGATE OF X(42) (0.4762, 0.1536) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_335 = ISOTOMIC CONJUGATE OF X(239) (1.0387, 0.0318) A B C X239 X2 X38 X37 X86 X7 X192 X75 X141 X27 X295 X310 X321 X335 (a, b, c) = (5, 6, 7) | AB = 1

X335 (ISOTOMIC CONJUGATE OF X239) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(bc/(a^{2} - bc) : ca/(b^{2} - ca) : ab/(c^{2} - ab)\)
Barycentrics: \(1/(a^{2} - bc) : 1/(b^{2} - ca) : 1/(c^{2} - ab)\)
Search Value (6, 9, 13): \(-0.295386595053\)
▸ Incident Central Lines15 lines

{1, 384}, {2, 38}, {7, 192}, {27, 295}, {37, 86}, {75, 141}, {76, 871}, {239, 518}, {257, 694}, {310, 321}, {320, 742}, {536, 903}, {675, 813}, {741, 835}, {876, 900}

▸ Functional Relations10 relations