X3987

X3216com[INVERSE(n(HEXYL TRIANGLE))]

X3987 = crossdifference of every pair of points on line X644X1783
< 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) { 10, 321 }: Central Line L(10, 321) { 1, 474 }: Central Line L(1, 474) { 40, 1724 }: Central Line L(40, 1724) { 65, 3293 }: Central Line L(65, 3293) { 244, 3244 }: Central Line L(244, 3244) { 38, 3626 }: Central Line L(38, 3626) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_1 = INCENTER (0.5714, 0.2333) X_474 = EULER LINE INTERCEPT OF LINE X(10)X(56) (0.5441, 0.2176) X_40 = BEVAN POINT (0.4286, -0.0292) X_1724 = MIMOSA TRANSFORM OF X(58) (0.7857, 0.4878) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_3293 = SS(a → b + c) OF X(3) (0.6204, 0.2812) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_3244 = REFLECTION OF X(10) IN X(1) (0.6224, 0.2833) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_3626 = H-1(X(1); M, -2) (0.4949, 0.1583) X_3987 = com[INVERSE(n(HEXYL TRIANGLE))] (0.6353, 0.2701) A B C X10 X321 X1 X474 X40 X1724 X65 X3293 X244 X3244 X38 X3626 X3987 (a, b, c) = (5, 6, 7) | AB = 1

X3987 (X3216com[INVERSE(n(HEXYL TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(b + c)(b^{2} + c^{2} + ab + ac - 3bc)\)
Search Value (6, 9, 13): \(0.560150827721\)
▸ Incident Central Lines14 lines

{1, 474}, {8, 3670}, {10, 321}, {38, 3626}, {40, 1724}, {42, 3754}, {65, 3293}, {244, 3244}, {517, 3216}, {758, 3214}, {982, 3632}, {986, 3679}, {1201, 2802}, {1574, 3727}

▸ Functional Relations1 relation