X1230

ISOTOMIC CONJUGATE OF X1171

X1230 is the isotomic conjugate of X1171.
< 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, 39 }: Central Line L(2, 39) { 313, 321 }: Central Line L(313, 321) { 339, 440 }: Central Line L(339, 440) { 312, 1234 }: Central Line L(312, 1234) { 469, 1235 }: Central Line L(469, 1235) { 1213, 1269 }: Central Line L(1213, 1269) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_2 = CENTROID (0.5374, 0.2000) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_339 = ISOTOMIC CONJUGATE OF X(250) (0.6002, 0.0170) X_440 = COMPLEMENT OF X(27) (0.4970, 0.0943) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_1234 = ISOTOMIC CONJUGATE OF X(1175) (0.4624, 0.1482) X_469 = EULER LINE INTERCEPT OF LINE X(92)X(264) (0.6071, 0.3824) X_1235 = ISOTOMIC CONJUGATE OF X(1176) (0.5483, 0.2901) X_1213 = ISOGONAL CONJUGATE OF X(1171) (0.5294, 0.1914) X_1269 = ISOTOMIC CONJUGATE OF X(1126) (0.4669, 0.1460) X_1230 = ISOTOMIC CONJUGATE OF X(1171) (0.4472, 0.1317) A B C X76 X313 X2 X39 X321 X339 X440 X312 X1234 X469 X1235 X1213 X1269 X1230 (a, b, c) = (5, 6, 7) | AB = 1

X1230 (ISOTOMIC CONJUGATE OF X1171) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = b^{3}c^{3}(b + c)(2a + b + c)\) (M. Iliev, 5/13/07)
Search Value (6, 9, 13): \(4.952202593149\)
▸ Incident Central Lines6 lines

{2, 39}, {312, 1234}, {313, 321}, {339, 440}, {469, 1235}, {1213, 1269}

▸ Functional Relations2 relations