X330

ISOTOMIC CONJUGATE OF X192

X330 is the isotomic conjugate of X192.
< 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) { 1, 87 }: Central Line L(1, 87) { 57, 239 }: Central Line L(57, 239) { 8, 291 }: Central Line L(8, 291) { 56, 385 }: Central Line L(56, 385) { 105, 932 }: Central Line L(105, 932) { 76, 1015 }: Central Line L(76, 1015) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_1 = INCENTER (0.5714, 0.2333) X_87 = -CROSS CONJUGATE OF X(1) (0.4794, 0.1691) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_8 = NAGEL POINT (0.4694, 0.1333) X_291 = 2nd SHARYGIN POINT (1.0249, 0.0364) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_385 = -HIRST INVERSE OF X(6) (2.2863, 2.0795) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_932 = -CROSS CONJUGATE OF X(100) (0.0354, 0.3132) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_1015 = EXSIMILICENTER OF MOSES CIRCLE AND INCIRCLE (0.7982, 0.1348) X_330 = ISOTOMIC CONJUGATE OF X(192) (0.4364, 0.1391) A B C X192 X1 X87 X57 X239 X8 X291 X56 X385 X105 X932 X76 X1015 X330 (a, b, c) = (5, 6, 7) | AB = 1

X330 (ISOTOMIC CONJUGATE OF X192) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(bc/(ab + ac - bc) : ca/(bc + ba - ca) : ab/(ca + cb - ab)\)
Barycentrics: \(1/(ab + ac - bc) : 1/(bc + ba - ca) : 1/(ca + cb - ab)\)
Search Value (6, 9, 13): \(6.222507304801\)
▸ Incident Central Lines10 lines

{1, 87}, {2, 1107}, {8, 291}, {56, 385}, {57, 239}, {76, 1015}, {105, 932}, {145, 1002}, {193, 959}, {257, 982}

▸ Functional Relations11 relations