X898

ISOGONAL CONJUGATE OF X891

X898 is the isogonal conjugate of X891.
< 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) { 106, 238 }: Central Line L(106, 238) { 100, 667 }: Central Line L(100, 667) { 105, 666 }: Central Line L(105, 666) { 101, 765 }: Central Line L(101, 765) { 99, 889 }: Central Line L(99, 889) { 813, 1023 }: Central Line L(813, 1023) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_891 = ISOTOMIC CONJUGATE OF X(889) (0.8689, 0.6842) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_666 = TRILINEAR POLE OF LINE X(2)X(11) (1.0982, 0.1428) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_765 = CEVAPOINT OF X(1) AND X(100) (0.4286, 0.3110) X_99 = STEINER POINT (0.1109, 0.4322) X_889 = INTERSECTION OF LINES X(99)X(898) AND X(190)X(649) (0.8340, -0.1151) X_813 = o-(- 1, 1) CIRCUMCIRCLE POINT (0.9721, -0.0916) X_1023 = INTERSECTION OF LINES X(1)X(6) AND X(100)X(101) (2.1429, 2.0996) X_898 = ISOGONAL CONJUGATE OF X(891) (0.9234, -0.1828) A B C X891 X106 X238 X100 X667 X105 X666 X101 X765 X99 X889 X813 X1023 X898 (a, b, c) = (5, 6, 7) | AB = 1

X898 (ISOGONAL CONJUGATE OF X891) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/[(b - c)(2bc - ab - ac)] : :\) (M. Iliev, 5/13/07)
Search Value (6, 9, 13): \(2.291989304945\)
▸ Incident Central Lines7 lines

{99, 889}, {100, 667}, {101, 765}, {105, 666}, {106, 238}, {813, 1023}, {840, 1083}

▸ Functional Relations7 relations