X3826

X3243com(3rd EULER TRIANGLE)

X3826 = complement of X1001
< 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, 1001 }: Central Line L(2, 1001) { 2, 11 }: Central Line L(2, 11) { 7, 12 }: Central Line L(7, 12) { 9, 46 }: Central Line L(9, 46) { 10, 141 }: Central Line L(10, 141) 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_1001 = MIDPOINT OF X(1) AND X(9) (0.5412, 0.1974) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_7 = GERGONNE POINT (0.5903, 0.2769) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_9 = MITTENPUNKT (0.5110, 0.1615) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_3826 = com(3rd EULER TRIANGLE) (0.5355, 0.2012) A B C Ma Mb Mc X2 X1001 X11 X7 X12 X9 X46 X10 X141 X3826 (a, b, c) = (5, 6, 7) | AB = 1

X3826 (X3243com(3rd EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(b^{3} + c^{3} - ab^{2} - ac^{2} - b^{2}c - bc^{2} - 4abc : :\)
Search Value (6, 9, 13): \(2.628482886561\)
▸ Incident Central Lines16 lines

{2, 11}, {5, 516}, {7, 12}, {9, 46}, {10, 141}, {37, 1738}, {226, 3740}, {427, 1890}, {443, 958}, {498, 954}, {984, 1086}, {1269, 3701}, {1386, 3008}, {1827, 1861}, {1836, 3305}, {3243, 3679}

▸ Functional Relations4 relations