X884

ISOGONAL CONJUGATE OF X883

X884 is the isogonal conjugate of X883.
< 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) { 31, 649 }: Central Line L(31, 649) { 41, 663 }: Central Line L(41, 663) { 55, 650 }: Central Line L(55, 650) { 56, 667 }: Central Line L(56, 667) { 105, 659 }: Central Line L(105, 659) { 21, 885 }: Central Line L(21, 885) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_883 = INTERSECTION OF LINES X(7)X(8) AND X(190)X(644) (1.5694, 1.4397) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_649 = CROSSDIFFERENCE OF X(1) and X(2) (-21.0000, 14.6969) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_663 = CROSSDIFFERENCE OF X(2) AND X(7) (8.6667, -3.2660) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_650 = CROSSDIFFERENCE OF X(1) AND X(3) (13.7143, -4.1991) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_659 = CROSSDIFFERENCE OF X(1) AND X(39) (1.9286, 2.2162) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_885 = ISOTOMIC CONJUGATE OF X(883) (1.0518, 0.0256) X_884 = ISOGONAL CONJUGATE OF X(883) (1.0241, 0.0337) A B C X883 X31 X649 X41 X663 X55 X650 X56 X667 X105 X659 X21 X885 X884 (a, b, c) = (5, 6, 7) | AB = 1

X884 (ISOGONAL CONJUGATE OF X883) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a^{2}u(bv - cw)/(a^{2}u^{2} - bcvw) : :\), where \(u : v : w\) = X7
Search Value (6, 9, 13): \(-0.961178915482\)
▸ Incident Central Lines6 lines

{21, 885}, {31, 649}, {41, 663}, {55, 650}, {56, 667}, {105, 659}

▸ Functional Relations2 relations