X2907

ORTHIC-ISOGONAL CONJUGATE OF X29

X2907 is the orthic-isogonal conjugate of X29.
< 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, 239 }: Central Line L(27, 239) { 29, 270 }: Central Line L(29, 270) { 1, 415 }: Central Line L(1, 415) { 185, 412 }: Central Line L(185, 412) { 225, 648 }: Central Line L(225, 648) { 243, 1858 }: Central Line L(243, 1858) 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_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_270 = ISOGONAL CONJUGATE OF X(201) (0.6168, 0.3881) X_1 = INCENTER (0.5714, 0.2333) X_415 = -HIRST INVERSE OF X(29) (0.7758, 0.8236) X_185 = NAGEL POINT OF THE ORTHIC TRIANGLE (0.6033, 0.1643) X_412 = EULER X(29)-2nd-SUBSTITUTION POINT (0.6482, 0.4899) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_648 = TRILINEAR POLE OF EULER LINE (0.4563, 0.5855) X_243 = -LINE CONJUGATE OF X(73) (0.7516, 0.9505) X_1858 = ZOSMA TRANSFORM OF X(225) (0.6003, 0.2464) X_2907 = ORTHIC-ISOGONAL CONJUGATE OF X(29) (0.6402, 0.4320) A B C X4 X29 X27 X239 X270 X1 X415 X185 X412 X225 X648 X243 X1858 X2907 (a, b, c) = (5, 6, 7) | AB = 1

X2907 (ORTHIC-ISOGONAL CONJUGATE OF X29) 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): \(1.076894681611\)
▸ Incident Central Lines10 lines

{1, 415}, {4, 2651}, {27, 239}, {29, 270}, {185, 412}, {225, 648}, {243, 1858}, {429, 2905}, {860, 2906}, {1896, 2648}

▸ Functional Relations1 relation