X2898

ORTHIC-ISOGONAL CONJUGATE OF X7

X2898 is the orthic-isogonal conjugate of X7.
< 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) { 7, 354 }: Central Line L(7, 354) { 857, 948 }: Central Line L(857, 948) { 55, 1996 }: Central Line L(55, 1996) { 273, 1851 }: Central Line L(273, 1851) { 348, 2886 }: Central Line L(348, 2886) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_7 = GERGONNE POINT (0.5903, 0.2769) X_354 = WEILL POINT (0.5823, 0.2533) X_857 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(75) (-0.3133, -2.0259) X_948 = INTERSECTION OF LINES X(1)X(4) AND X(6)X(7) (0.5840, 0.2831) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_1996 = ORTHOCORRESPONDENT OF X(7) (0.5849, 0.2847) X_273 = ISOGONAL CONJUGATE OF X(212) (0.6191, 0.4329) X_1851 = ZOSMA TRANSFORM OF X(200) (0.6375, 0.4422) X_348 = ISOTOMIC CONJUGATE OF X(281) (0.4854, 0.1069) X_2886 = COMPLEMENTARY CONJUGATE OF X(9) (0.5316, 0.2039) X_2898 = ORTHIC-ISOGONAL CONJUGATE OF X(7) (0.6478, 0.4473) A B C X4 X7 X354 X857 X948 X55 X1996 X273 X1851 X348 X2886 X2898 (a, b, c) = (5, 6, 7) | AB = 1

X2898 (ORTHIC-ISOGONAL CONJUGATE OF X7) 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): \(-0.612876908657\)
▸ Incident Central Lines5 lines

{7, 354}, {55, 1996}, {273, 1851}, {348, 2886}, {857, 948}

▸ Functional Relations1 relation