X2944

EXCENTRAL-ISOGONAL CONJUGATE OF X10

X2944 is the excentral-isogonal conjugate of X10.
< 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) { 40, 43 }: Central Line L(40, 43) { 2, 572 }: Central Line L(2, 572) { 165, 411 }: Central Line L(165, 411) { 3, 846 }: Central Line L(3, 846) { 72, 1282 }: Central Line L(72, 1282) { 517, 1051 }: Central Line L(517, 1051) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_960 = INTERSECTION OF LINES X(1)X(6) AND X(5)X(10) (0.5041, 0.1533) X_1 = INCENTER (0.5714, 0.2333) X_40 = BEVAN POINT (0.4286, -0.0292) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_2 = CENTROID (0.5374, 0.2000) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_411 = EULER X(21)-2nd-SUBSTITUTION POINT (0.4414, -0.0514) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_1282 = 5th SHARYGIN POINT (-0.1429, 0.8165) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_1051 = POINT ALGORAB (0.5863, 0.2501) X_2944 = EXCENTRAL-ISOGONAL CONJUGATE OF X(10) (0.5447, 0.1990) A B C X960 X1 X40 X43 X2 X572 X165 X411 X3 X846 X72 X1282 X517 X1051 X2944 (a, b, c) = (5, 6, 7) | AB = 1

X2944 (EXCENTRAL-ISOGONAL CONJUGATE OF X10) 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): \(9.512641931566\)
▸ Incident Central Lines7 lines

{2, 572}, {3, 846}, {40, 43}, {72, 1282}, {165, 411}, {517, 1051}, {1046, 1764}

▸ Functional Relations2 relations