X2941

EXCENTRAL-ISOGONAL CONJUGATE OF X6

X2941 is the excentral-isogonal conjugate of X6.
< 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) { 30, 40 }: Central Line L(30, 40) { 165, 846 }: Central Line L(165, 846) { 1, 1412 }: Central Line L(1, 1412) { 1764, 1768 }: Central Line L(1764, 1768) { 1779, 2955 }: Central Line L(1779, 2955) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2321 = -ISOCONJUGATE OF X(1408) (0.4497, 0.1200) X_1 = INCENTER (0.5714, 0.2333) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_40 = BEVAN POINT (0.4286, -0.0292) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_1412 = -BETH CONJUGATE OF X(81) (0.6374, 0.3603) X_1764 = MIMOSA TRANSFORM OF X(332) (0.4054, -0.0717) X_1768 = MIMOSA TRANSFORM OF X(521) (1.1429, -0.7582) X_1779 = MIMOSA TRANSFORM OF X(1172) (0.7904, 0.5270) X_2955 = EXCENTRAL-ISOGONAL CONJUGATE OF X(72) (0.5534, 0.1505) X_2941 = EXCENTRAL-ISOGONAL CONJUGATE OF X(6) (0.4105, -0.0764) A B C X2321 X1 X30 X40 X165 X846 X1412 X1764 X1768 X1779 X2955 X2941 (a, b, c) = (5, 6, 7) | AB = 1

X2941 (EXCENTRAL-ISOGONAL CONJUGATE OF X6) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.603941814865\)
▸ Incident Central Lines5 lines

{1, 1412}, {30, 40}, {165, 846}, {1764, 1768}, {1779, 2955}

▸ Functional Relations3 relations