X2946

EXCENTRAL-ISOGONAL CONJUGATE OF X16

X2946 is the excentral-isogonal conjugate of X16.
< 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) { 15, 846 }: Central Line L(15, 846) { 62, 1046 }: Central Line L(62, 1046) { 573, 1761 }: Central Line L(573, 1761) { 40, 2952 }: Central Line L(40, 2952) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_15 = 1st ISODYNAMIC POINT (0.5519, 0.1878) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_62 = ISOGONAL CONJUGATE OF X(18) (0.6446, 0.3409) 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_2952 = EXCENTRAL-ISOGONAL CONJUGATE OF X(61) (0.4242, -0.0217) X_2946 = EXCENTRAL-ISOGONAL CONJUGATE OF X(16) (-0.1723, 0.9884) A B C X16 X15 X846 X62 X1046 X573 X1761 X40 X2952 X2946 (a, b, c) = (5, 6, 7) | AB = 1

X2946 (EXCENTRAL-ISOGONAL CONJUGATE OF X16) 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): \(-5.787833039731\)
▸ Incident Central Lines4 lines

{15, 846}, {40, 2952}, {62, 1046}, {573, 1761}

▸ Functional Relations1 relation