X3902

X3741com[INVERSE(n(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) { 8, 210 }: Central Line L(8, 210) { 321, 519 }: Central Line L(321, 519) { 314, 1320 }: Central Line L(314, 1320) { 528, 1227 }: Central Line L(528, 1227) { 75, 3241 }: Central Line L(75, 3241) { 1441, 2099 }: Central Line L(1441, 2099) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_1320 = ISOGONAL CONJUGATE OF X(1319) (1.0000, 0.0000) X_528 = DIRECTION OF VECTOR AX + BX + CX, where X = X(11) (1.0237, -0.1286) X_1227 = ISOTOMIC CONJUGATE OF X(1168) (0.2551, 0.2499) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_3241 = REFLECTION OF X(2) IN X(1) (0.6054, 0.2666) X_1441 = -BETH CONJUGATE OF X(313) (0.5459, 0.2242) X_2099 = REFLECTION OF X(55) IN X(1) (0.5938, 0.2745) X_3902 = com[INVERSE(n(4th EULER TRIANGLE))] (0.4469, 0.1203) A B C X8 X210 X321 X519 X314 X1320 X528 X1227 X75 X3241 X1441 X2099 X3902 (a, b, c) = (5, 6, 7) | AB = 1

X3902 (X3741com[INVERSE(n(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 \(f(a,b,c) = bc(b + c - a)(b + c + 4a)\)
Search Value (6, 9, 13): \(4.985472200519\)
▸ Incident Central Lines8 lines

{8, 210}, {75, 3241}, {314, 1320}, {321, 519}, {528, 1227}, {1089, 3625}, {1441, 2099}, {2170, 2321}