X2593

X6-ISOCONJUGATE OF X1823

X2593 = trilinear pole of line X523X1312
< 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) { 297, 525 }: Central Line L(297, 525) { 98, 1113 }: Central Line L(98, 1113) { 262, 1347 }: Central Line L(262, 1347) { 4, 2575 }: Central Line L(4, 2575) { 10, 2589 }: Central Line L(10, 2589) { 226, 2583 }: Central Line L(226, 2583) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_297 = -HIRST INVERSE OF X(4) (0.8440, 1.0022) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_98 = TARRY POINT (0.8891, -0.2281) X_1113 = 1st EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.6822, 0.5787) X_262 = ISOGONAL CONJUGATE OF X(182) (0.5893, 0.2856) X_1347 = EXSIMILICENTER(NINE-POINT CIRCLE, ORTHOCENTROIDAL CIRCLE) (0.5879, 0.3320) X_4 = ORTHOCENTER (0.6122, 0.3958) X_2575 = ISOGONAL CONJUGATE OF X(1114) (0.4954, 0.7853) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_2589 = -ISOCONJUGATE OF X(1114) (0.5601, 0.9061) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_2583 = -ISOCONJUGATE OF X(1114) (0.6162, -2.4277) X_2593 = -ISOCONJUGATE OF X(1823) (0.5668, 1.0286) A B C X297 X525 X98 X1113 X262 X1347 X4 X2575 X10 X2589 X226 X2583 X2593 (a, b, c) = (5, 6, 7) | AB = 1

X2593 (X6-ISOCONJUGATE OF X1823) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(bc/f(a,b,c) : ca/f(b,c,a) : ab/f(c,a,b)\), where f(a,b,c) is as at X1823
Barycentrics: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\)
Search Value (6, 9, 13): \(1.743661547512\)

X2593 lies on the Kiepert hyperbola.

▸ Incident Central Lines6 lines

{4, 2575}, {10, 2589}, {98, 1113}, {226, 2583}, {262, 1347}, {297, 525}

▸ Functional Relations5 relations