X3844

X2321com(4th EULER 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, 141 }: Central Line L(10, 141) { 120, 125 }: Central Line L(120, 125) { 2, 1386 }: Central Line L(2, 1386) { 6, 1698 }: Central Line L(6, 1698) { 594, 1738 }: Central Line L(594, 1738) { 8, 3619 }: Central Line L(8, 3619) 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_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_2 = CENTROID (0.5374, 0.2000) X_1386 = MIDPOINT OF INCENTER AND SYMMEDIAN POINT (0.5857, 0.2503) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1698 = INSIMILICENTER(BEVAN CIRCLE, NINE-POINTCIRCLE) (0.5306, 0.1933) X_594 = ISOGONAL CONJUGATE OF X(593) (0.5025, 0.1672) X_1738 = MIMOSA TRANSFORM OF X(105) (1.2925, 0.7221) X_8 = NAGEL POINT (0.4694, 0.1333) X_3619 = H(X(6); M, -1/2) (0.5195, 0.1807) X_3844 = com(4th EULER TRIANGLE) (0.5133, 0.1748) A B C X10 X141 X120 X125 X2 X1386 X6 X1698 X594 X1738 X8 X3619 X3844 (a, b, c) = (5, 6, 7) | AB = 1

X3844 (X2321com(4th EULER 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 \(f(a,b,c) = 2b^{3} + 2c^{3} + a^{2}b + a^{2}c + ab^{2} + ac^{2} + 2b^{2}c + 2bc^{2}\)
Search Value (6, 9, 13): \(3.273248937602\)
▸ Incident Central Lines10 lines

{2, 1386}, {6, 1698}, {8, 3619}, {10, 141}, {120, 125}, {594, 1738}, {599, 3751}, {3242, 3679}, {3589, 3634}, {3661, 3696}