X963

ISOGONAL CONJUGATE OF X962

X963 is the isogonal conjugate of X962.
< 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) { 33, 56 }: Central Line L(33, 56) { 3, 200 }: Central Line L(3, 200) { 48, 220 }: Central Line L(48, 220) { 55, 603 }: Central Line L(55, 603) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_962 = LONGUET-HIGGINS POINT (0.7551, 0.6582) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_603 = -CEVA CONJUGATE OF X(56) (0.5992, 0.1851) X_963 = ISOGONAL CONJUGATE OF X(962) (1.3582, 0.0792) A B C X962 X33 X56 X3 X200 X48 X220 X55 X603 X963 (a, b, c) = (5, 6, 7) | AB = 1

X963 (ISOGONAL CONJUGATE OF X962) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/[a^{4} + 2a^{3}(b + c) - 4a^{2}bc - (b + c)(b - c)^{2}(2a + b + c)] : :\)
Search Value (6, 9, 13): \(8.054422574455\)
▸ Alternate Coordinates1 form

  • Trilinears: \(\sec A' : :\), where A' is the angle formed by the tangents from X1 to the A-excircle

▸ Incident Central Lines4 lines

{3, 200}, {33, 56}, {48, 220}, {55, 603}

▸ Functional Relations2 relations