X3932

X1279com[INVERSE(n(INCENTRAL TRIANGLE))]

< 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) { 10, 37 }: Central Line L(10, 37) { 23, 100 }: Central Line L(23, 100) { 12, 313 }: Central Line L(12, 313) { 8, 344 }: Central Line L(8, 344) { 210, 306 }: Central Line L(210, 306) { 141, 984 }: Central Line L(141, 984) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_23 = FAR-OUT POINT (1.3871, 2.4232) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_8 = NAGEL POINT (0.4694, 0.1333) X_344 = ISOTOMIC CONJUGATE OF X(277) (0.6218, 0.2693) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_984 = MIDPOINT OF X(8) AND X(192) (0.5421, 0.1984) X_3932 = com[INVERSE(n(INCENTRAL TRIANGLE))] (-0.7755, -0.9776) A B C X10 X37 X23 X100 X12 X313 X8 X344 X210 X306 X141 X984 X3932 (a, b, c) = (5, 6, 7) | AB = 1

X3932 (X1279com[INVERSE(n(INCENTRAL TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (b + c)(b^{2} + c^{2} - ab - ac)\)
Search Value (6, 9, 13): \(9.882974978717\)
▸ Incident Central Lines27 lines

{1, 3589}, {2, 1390}, {8, 344}, {9, 3416}, {10, 37}, {11, 3006}, {12, 313}, {23, 100}, {65, 3710}, {120, 3263}, {141, 984}, {210, 306}, {312, 2886}, {345, 1376}, {346, 2550}, {442, 1089}, {516, 2325}, {518, 3717}, {519, 1279}, {523, 1577}, {524, 1757}, {528, 3685}, {536, 1738}, {726, 1086}, {756, 1211}, {1861, 3693}, {3687, 3740}