X921

ISOGONAL CONJUGATE OF X920

X921 is the isogonal conjugate of X920.
< 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) { 19, 47 }: Central Line L(19, 47) { 63, 91 }: Central Line L(63, 91) { 46, 225 }: Central Line L(46, 225) { 158, 920 }: Central Line L(158, 920) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_47 = -BETH CONJUGATE OF X(34) (0.7279, 0.4389) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_91 = ISOGONAL CONJUGATE OF X(47) (-0.0865, -0.0205) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_158 = -CROSS CONJUGATE OF X(92) (0.6215, 0.5117) X_920 = -CEVA CONJUGATE OF X(1) (0.8006, 0.5344) X_921 = ISOGONAL CONJUGATE OF X(920) (7.0160, 1.3242) A B C X255 X1 X19 X47 X63 X91 X46 X225 X158 X920 X921 (a, b, c) = (5, 6, 7) | AB = 1

X921 (ISOGONAL CONJUGATE OF X920) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(\cos^{2} B + \cos^{2} C - \cos^{2} A) : :\)
Search Value (6, 9, 13): \(6.909789463241\)
▸ Alternate Coordinates1 form

  • Trilinears: \(1/(a^{6} - 3 a^{4} (b^{2} + c^{2}) + a^{2} (3 b^{4} - 2 b^{2} c^{2} + 3 c^{4}) - (b^{2} - c^{2})^{2} (b^{2} + c^{2})) : :\)

▸ Incident Central Lines4 lines

{19, 47}, {46, 225}, {63, 91}, {158, 920}

▸ Functional Relations3 relations