X1444

X332-BETH CONJUGATE OF X332

X1444 = cevapoint of X3 and X63
< 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) { 7, 21 }: Central Line L(7, 21) { 3, 69 }: Central Line L(3, 69) { 48, 63 }: Central Line L(48, 63) { 99, 104 }: Central Line L(99, 104) { 28, 242 }: Central Line L(28, 242) { 77, 283 }: Central Line L(77, 283) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_332 = ISOTOMIC CONJUGATE OF X(225) (0.3595, 0.0434) X_7 = GERGONNE POINT (0.5903, 0.2769) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_99 = STEINER POINT (0.1109, 0.4322) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_1444 = -BETH CONJUGATE OF X(332) (0.4762, 0.0921) A B C X332 X7 X21 X3 X69 X48 X63 X99 X104 X28 X242 X77 X283 X1444 (a, b, c) = (5, 6, 7) | AB = 1

X1444 (X332-BETH CONJUGATE OF X332) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\cot A)/(b + c) : (\cot B)/(c + a) : (\cot C)/(a + b)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(6.391145500894\)
▸ Incident Central Lines15 lines

{1, 969}, {3, 69}, {7, 21}, {28, 242}, {48, 63}, {58, 988}, {71, 1332}, {77, 283}, {81, 593}, {99, 104}, {100, 319}, {189, 333}, {524, 1030}, {662, 911}, {963, 1043}

▸ Functional Relations5 relations