X2817

ISOGONAL CONJUGATE OF X2733

X2817 is the isogonal conjugate of X2733.
< 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) { 1, 102 }: Central Line L(1, 102) { 10, 117 }: Central Line L(10, 117) { 40, 109 }: Central Line L(40, 109) { 8, 151 }: Central Line L(8, 151) { 30, 511 }: Central Line L(30, 511) { 124, 946 }: Central Line L(124, 946) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2733 = SR(X(102), X(108)) (0.2875, -0.3619) X_1 = INCENTER (0.5714, 0.2333) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_117 = MIDPOINT OF X(4) AND X(109) (0.4879, 0.4948) X_40 = BEVAN POINT (0.4286, -0.0292) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_8 = NAGEL POINT (0.4694, 0.1333) X_151 = REFLECTION OF X(20) IN X(109) (0.3395, 1.3793) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_124 = -OF-MEDIAL-TRIANGLE (0.6243, 0.0030) X_946 = MIDPOINT OF X(1) AND X(4) (0.5918, 0.3145) X_2817 = ISOGONAL CONJUGATE OF X(2733) (0.4766, 0.7837) A B C X2733 X1 X102 X10 X117 X40 X109 X8 X151 X30 X511 X124 X946 X2817 (a, b, c) = (5, 6, 7) | AB = 1

X2817 (ISOGONAL CONJUGATE OF X2733) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as at X2733
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines8 lines

{1, 102}, {8, 151}, {10, 117}, {30, 511}, {40, 109}, {46, 1795}, {65, 1359}, {124, 946}

▸ Functional Relations1 relation