X788

ODD (- 3, 0) INFINITY POINT

As the isogonal conjugate of a point on the circumcircle, X788 lies on the line at infinity.
< 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) { 30, 511 }: Central Line L(30, 511) { 42, 649 }: Central Line L(42, 649) { 667, 798 }: Central Line L(667, 798) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_789 = o-(- 3, 0) CIRCUMCIRCLE POINT (0.0826, 0.3957) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_649 = CROSSDIFFERENCE OF X(1) and X(2) (-21.0000, 14.6969) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_798 = CROSSDIFFERENCE OF X(1) AND X(75) (-13.4299, 10.5763) X_788 = ODD (- 3, 0) INFINITY POINT (1.0251, -0.1264) A B C X789 X30 X511 X42 X649 X667 X798 X788 (a, b, c) = (5, 6, 7) | AB = 1

X788 (ODD (- 3, 0) INFINITY POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a^{2}(b^{3} - c^{3}) : :\)
▸ Incident Central Lines3 lines

{30, 511}, {42, 649}, {667, 798}

▸ Functional Relations3 relations