X3834

X1266com(3rd EULER TRIANGLE)

X3834 = isotomic conjugate of X32012
< 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, 44 }: Central Line L(2, 44) { 10, 141 }: Central Line L(10, 141) { 536, 1086 }: Central Line L(536, 1086) { 752, 1125 }: Central Line L(752, 1125) { 244, 2228 }: Central Line L(244, 2228) 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_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_536 = DIRECTION OF VECTOR AX + BX + CX, where X = X(37) (0.0840, -0.1727) X_1086 = CENTER OF HYPERBOLA {{A,B,C,X(2),X(7)|} (0.7687, 0.1000) X_752 = EVEN (0, 3) INFINITY POINT (0.9166, 0.6478) X_1125 = COMPLEMENT OF X(10) (0.5459, 0.2083) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_2228 = -ISOCONJUGATE OF X(713) (2.7741, 1.7559) X_3834 = com(3rd EULER TRIANGLE) (-0.2653, -0.7498) A B C Ma Mb Mc X2 X44 X10 X141 X536 X1086 X752 X1125 X244 X2228 X3834 (a, b, c) = (5, 6, 7) | AB = 1

X3834 (X1266com(3rd EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(ab + ac + 2bc - 2b^{2} - 2c^{2} : :\)
Search Value (6, 9, 13): \(7.141934152571\)
▸ Incident Central Lines14 lines

{2, 44}, {10, 141}, {37, 3662}, {238, 3624}, {244, 2228}, {513, 3716}, {524, 3008}, {536, 1086}, {545, 2325}, {752, 1125}, {1279, 3616}, {2887, 3742}, {3589, 3664}, {3631, 3686}

▸ Functional Relations3 relations