X2905

ORTHIC-ISOGONAL CONJUGATE OF X27

X2905 is the orthic-isogonal conjugate of X27.
< 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) { 27, 86 }: Central Line L(27, 86) { 29, 242 }: Central Line L(29, 242) { 19, 423 }: Central Line L(19, 423) { 6, 469 }: Central Line L(6, 469) { 238, 270 }: Central Line L(238, 270) { 648, 1826 }: Central Line L(648, 1826) 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_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_19 = CLAWSON POINT (0.6246, 0.4244) X_423 = -HIRST INVERSE OF X(27) (0.7431, 0.7380) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_469 = EULER LINE INTERCEPT OF LINE X(92)X(264) (0.6071, 0.3824) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_270 = ISOGONAL CONJUGATE OF X(201) (0.6168, 0.3881) X_648 = TRILINEAR POLE OF EULER LINE (0.4563, 0.5855) X_1826 = ZOSMA TRANSFORM OF X(6) (0.6052, 0.3795) X_2905 = ORTHIC-ISOGONAL CONJUGATE OF X(27) (0.6068, 0.3772) A B C X4 X27 X86 X29 X242 X19 X423 X6 X469 X238 X270 X648 X1826 X2905 (a, b, c) = (5, 6, 7) | AB = 1

X2905 (ORTHIC-ISOGONAL CONJUGATE OF X27) 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): \(189.282550281155\)
▸ Incident Central Lines7 lines

{6, 469}, {19, 423}, {27, 86}, {29, 242}, {238, 270}, {429, 2907}, {648, 1826}

▸ Functional Relations1 relation