X880

INTERSECTION OF LINES X6X_76 AND X99X_670

X880 = P(1)U(11)∩U(1)P(11)
< 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) { 6, 76 }: Central Line L(6, 76) { 99, 670 }: Central Line L(99, 670) { 886, 892 }: Central Line L(886, 892) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_881 = ISOGONAL CONJUGATE OF X(880) (0.9993, -0.0247) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_99 = STEINER POINT (0.1109, 0.4322) X_670 = TRILINEAR POLE OF LINE X(2)X(39) (-0.0057, 0.2948) X_886 = INTERSECTION OF LINES X(99)X(669) AND X(512)X(670) (0.7371, -0.1549) X_892 = ISOGONAL CONJUGATE OF X(351) (1.0590, 0.0699) X_880 = INTERSECTION OF LINES X(6)X(76) AND X(99)X(670) (-2.0234, -2.0829) A B C X881 X6 X76 X99 X670 X886 X892 X880 (a, b, c) = (5, 6, 7) | AB = 1

X880 (INTERSECTION OF LINES X6X_76 AND X99X_670) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((a^{2}u^{2} - bcvw)/[a^{2}u(bv - cw)]: :\), where \(u : v : w\) = X6
Search Value (6, 9, 13): \(52.830844700136\)
▸ Incident Central Lines3 lines

{6, 76}, {99, 670}, {886, 892}

▸ Functional Relations4 relations