X2945

EXCENTRAL-ISOGONAL CONJUGATE OF X15

X2945 is the excentral-isogonal conjugate of X15.
< 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) { 16, 846 }: Central Line L(16, 846) { 61, 1046 }: Central Line L(61, 1046) { 573, 1761 }: Central Line L(573, 1761) { 40, 2953 }: Central Line L(40, 2953) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_15 = 1st ISODYNAMIC POINT (0.5519, 0.1878) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_61 = ISOGONAL CONJUGATE OF X(17) (0.5764, 0.2283) X_1046 = -CEVA CONJUGATE OF X(1) (0.6500, 0.3366) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_1761 = MIMOSA TRANSFORM OF X(306) (0.4350, 0.0384) X_40 = BEVAN POINT (0.4286, -0.0292) X_2953 = EXCENTRAL-ISOGONAL CONJUGATE OF X(62) (0.3918, -0.2009) X_2945 = EXCENTRAL-ISOGONAL CONJUGATE OF X(15) (0.4410, 0.0290) A B C X15 X16 X846 X61 X1046 X573 X1761 X40 X2953 X2945 (a, b, c) = (5, 6, 7) | AB = 1

X2945 (EXCENTRAL-ISOGONAL CONJUGATE OF X15) 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): \(8.406734041322\)
▸ Incident Central Lines4 lines

{16, 846}, {40, 2953}, {61, 1046}, {573, 1761}

▸ Functional Relations1 relation