X3950

X9com[INVERSE(n(INCENTRAL TRIANGLE))]

X3950 = complement of X17151
< 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) { 1, 346 }: Central Line L(1, 346) { 9, 519 }: Central Line L(9, 519) { 142, 536 }: Central Line L(142, 536) { 145, 1743 }: Central Line L(145, 1743) { 6, 2325 }: Central Line L(6, 2325) 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_1 = INCENTER (0.5714, 0.2333) X_346 = ISOTOMIC CONJUGATE OF X(279) (0.3948, 0.0827) X_9 = MITTENPUNKT (0.5110, 0.1615) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_142 = COMPLEMENT OF X(9) (0.5506, 0.2192) X_536 = DIRECTION OF VECTOR AX + BX + CX, where X = X(37) (0.0840, -0.1727) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_1743 = MIMOSA TRANSFORM OF X(222) (0.6798, 0.3620) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_2325 = -ISOCONJUGATE OF X(1417) (-0.6122, -0.5999) X_3950 = com[INVERSE(n(INCENTRAL TRIANGLE))] (0.6699, 0.3172) A B C X10 X37 X1 X346 X9 X519 X142 X536 X145 X1743 X6 X2325 X3950 (a, b, c) = (5, 6, 7) | AB = 1

X3950 (X9com[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 \(f(a,b,c) = (b + c)(b + c - 3a)\)
Search Value (6, 9, 13): \(-1.637154153814\)
▸ Incident Central Lines21 lines

{1, 346}, {6, 2325}, {8, 3731}, {9, 519}, {10, 37}, {45, 3625}, {142, 536}, {145, 1743}, {192, 3662}, {226, 3175}, {344, 3008}, {391, 3632}, {573, 3208}, {966, 3626}, {1018, 1400}, {1125, 2345}, {1266, 3644}, {1449, 3635}, {2171, 3671}, {2262, 2802}, {3664, 3729}

▸ Functional Relations1 relation

  • X3950 = complement of X17151