X3900

X514com[INVERSE(n(3rd EULER TRIANGLE))]

X3900 = crossdifference of every pair of points on line X6X57
< 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) { 8, 885 }: Central Line L(8, 885) { 1, 905 }: Central Line L(1, 905) { 650, 663 }: Central Line L(650, 663) { 55, 1946 }: Central Line L(55, 1946) { 1146, 3022 }: Central Line L(1146, 3022) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_934 = -CROSS CONJUGATE OF X(57) (0.4269, 0.6071) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_8 = NAGEL POINT (0.4694, 0.1333) X_885 = ISOTOMIC CONJUGATE OF X(883) (1.0518, 0.0256) X_1 = INCENTER (0.5714, 0.2333) X_905 = POINT ACHERNAR (5.6190, -0.6999) X_650 = CROSSDIFFERENCE OF X(1) AND X(3) (13.7143, -4.1991) X_663 = CROSSDIFFERENCE OF X(2) AND X(7) (8.6667, -3.2660) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_1946 = BICENTRIC DIFFERENCE OF PU(19) (4.0131, -0.4483) X_1146 = CENTER OF HYPERBOLA {{A,B,C,X(2),X(8)}} (0.6866, 0.0428) X_3022 = 6th STEVANOVIC POINT (0.7020, 0.0400) X_3900 = com[INVERSE(n(3rd EULER TRIANGLE))] (1.1145, 0.0933) A B C X934 X30 X511 X8 X885 X1 X905 X650 X663 X55 X1946 X1146 X3022 X3900 (a, b, c) = (5, 6, 7) | AB = 1

X3900 (X514com[INVERSE(n(3rd EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: directed distance from A to Soddy line : :
Barycentrics: \(a(b - c)(b + c - a)^{2} : :\)
▸ Linear Combinations1 combination
▸ Incident Central Lines12 lines

{1, 905}, {8, 885}, {30, 511}, {55, 1946}, {650, 663}, {764, 3680}, {1146, 3022}, {1960, 2516}, {2192, 2431}, {2254, 3669}, {3064, 3700}, {3158, 3251}

▸ Functional Relations5 relations