X2339

X2-ISOCONJUGATE OF X1460

X2339 = isogonal conjugate of X2285
< 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) { 2, 19 }: Central Line L(2, 19) { 6, 63 }: Central Line L(6, 63) { 55, 78 }: Central Line L(55, 78) { 9, 345 }: Central Line L(9, 345) { 57, 348 }: Central Line L(57, 348) { 280, 452 }: Central Line L(280, 452) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1697 = INSIMILICENTER(BEVAN CIRCLE, INCIRCLE) (0.5449, 0.1845) X_2 = CENTROID (0.5374, 0.2000) X_19 = CLAWSON POINT (0.6246, 0.4244) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_345 = ISOTOMIC CONJUGATE OF X(278) (0.3405, 0.0381) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_348 = ISOTOMIC CONJUGATE OF X(281) (0.4854, 0.1069) X_280 = -CROSS CONJUGATE OF X(8) (0.6379, 0.8041) X_452 = -HIRST INVERSE OF X(449) (0.5268, 0.1722) X_2339 = -ISOCONJUGATE OF X(1460) (0.5270, 0.1731) A B C X9 X1697 X2 X19 X6 X63 X55 X78 X345 X57 X348 X280 X452 X2339 (a, b, c) = (5, 6, 7) | AB = 1

X2339 (X2-ISOCONJUGATE OF X1460) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((a^{2} - (b + c)^{2})/(a^{2} + (b + c)^{2}) : :\)
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(3.206044004709\)
▸ Alternate Coordinates1 form

  • Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X1460

▸ Incident Central Lines13 lines

{1, 1472}, {2, 19}, {6, 63}, {9, 345}, {21, 1039}, {55, 78}, {57, 348}, {280, 452}, {284, 1812}, {333, 2082}, {386, 1245}, {394, 2288}, {1310, 2291}

▸ Functional Relations3 relations