X1499

POINT BIHAM

X1499 = crosspoint of X99 and X598
< 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) { 3, 669 }: Central Line L(3, 669) { 98, 843 }: Central Line L(98, 843) { 4, 1550 }: Central Line L(4, 1550) { 74, 2770 }: Central Line L(74, 2770) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1296 = COLLINGS TRANSFORM OF X(126) (0.0115, 0.2498) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_669 = CROSSDIFFERENCE OF X(2) AND X(39) (-4.3514, 4.6163) X_98 = TARRY POINT (0.8891, -0.2281) X_843 = ISOGONAL CONJUGATE OF X(543) (0.1427, 0.4664) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1550 = ORTHOJOIN OF X(110) (0.9211, 0.1083) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_2770 = SR(X(110), X(111)) (0.0375, 0.3178) X_1499 = POINT BIHAM (0.1078, 0.5997) A B C X1296 X30 X511 X3 X669 X98 X843 X4 X1550 X74 X2770 X1499 (a, b, c) = (5, 6, 7) | AB = 1

X1499 (POINT BIHAM) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(bc(b^{2} - c^{2})(b^{2} + c^{2} - 5a^{2}) : :\)
▸ Incident Central Lines5 lines

{3, 669}, {4, 1550}, {30, 511}, {74, 2770}, {98, 843}

▸ Functional Relations14 relations