X3823

X3717com(4th EULER TRIANGLE)

X3823 = complement of X1279
< A B C >: Reference Triangle △ABC < M_a M_b M_c >: Medial Triangle △M_a M_b M_c [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 1279 }: Central Line L(2, 1279) { 10, 141 }: Central Line L(10, 141) { 44, 966 }: Central Line L(44, 966) { 238, 1698 }: Central Line L(238, 1698) { 536, 1738 }: Central Line L(536, 1738) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) M_a = Midpoint M_a of BC (0.8061, 0.2999) M_b = Midpoint M_b of CA (0.3061, 0.2999) M_c = Midpoint M_c of AB (0.5000, 0.0000) X_2 = CENTROID (0.5374, 0.2000) X_1279 = MIDPOINT OF X(1) AND X(238) (1.0952, 0.8554) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_966 = INTERSECTION OF LINES X(2)X(6) AND X(4)X(9) (0.5191, 0.1803) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_1698 = INSIMILICENTER(BEVAN CIRCLE, NINE-POINTCIRCLE) (0.5306, 0.1933) X_536 = DIRECTION OF VECTOR AX + BX + CX, where X = X(37) (0.0840, -0.1727) X_1738 = MIMOSA TRANSFORM OF X(105) (1.2925, 0.7221) X_3823 = com(4th EULER TRIANGLE) (0.2585, -0.1278) A B C Ma Mb Mc X2 X1279 X10 X141 X44 X966 X238 X1698 X536 X1738 X3823 (a, b, c) = (5, 6, 7) | AB = 1

X3823 (X3717com(4th EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(2b^{3} + 2c^{3} + a^{2}b + a^{2}c - ab^{2} - ac^{2} - 4abc : :\)
Search Value (6, 9, 13): \(4.446577340193\)
▸ Incident Central Lines8 lines

{2, 1279}, {10, 141}, {44, 966}, {238, 1698}, {536, 1738}, {1086, 3717}, {2887, 3740}, {3246, 3634}

▸ Functional Relations2 relations