X2816

ISOGONAL CONJUGATE OF X2732

X2816 is the isogonal conjugate of X2732.
< 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) { 29, 102 }: Central Line L(29, 102) { 40, 151 }: Central Line L(40, 151) { 117, 122 }: Central Line L(117, 122) { 124, 133 }: Central Line L(124, 133) { 30, 511 }: Central Line L(30, 511) { 109, 1294 }: Central Line L(109, 1294) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2732 = SR(X(102), X(107)) (0.3259, -0.3776) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_40 = BEVAN POINT (0.4286, -0.0292) X_151 = REFLECTION OF X(20) IN X(109) (0.3395, 1.3793) X_117 = MIDPOINT OF X(4) AND X(109) (0.4879, 0.4948) X_122 = -OF-MEDIAL-TRIANGLE (0.5195, -0.0036) X_124 = -OF-MEDIAL-TRIANGLE (0.6243, 0.0030) X_133 = INTERSECTION OF LINES X(4)X(74) AND X(5)X(122) (0.5928, 0.5014) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_2816 = ISOGONAL CONJUGATE OF X(2732) (0.5744, -0.3857) A B C X2732 X29 X102 X40 X151 X117 X122 X124 X133 X30 X511 X109 X1294 X2816 (a, b, c) = (5, 6, 7) | AB = 1

X2816 (ISOGONAL CONJUGATE OF X2732) 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 X2732
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines7 lines

{29, 102}, {30, 511}, {40, 151}, {109, 1294}, {117, 122}, {124, 133}, {950, 1845}

▸ Functional Relations1 relation