X3747

X239com[n(MEDIAL)*n(INCENTRAL)]

X3747 = crossdifference of every pair of points on line X2X661
< 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) { 1, 21 }: Central Line L(1, 21) { 42, 213 }: Central Line L(42, 213) { 187, 237 }: Central Line L(187, 237) { 238, 239 }: Central Line L(238, 239) { 190, 714 }: Central Line L(190, 714) { 55, 869 }: Central Line L(55, 869) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_237 = -LINE CONJUGATE OF X(2) (0.9894, 1.3825) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_714 = EVEN (- 3, - 1) INFINITY POINT (1.0302, 0.5186) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_869 = INTERSECTION OF LINES X(1)X(2) AND X(31)X(32) (0.6039, 0.2651) X_3747 = com[n(MEDIAL)*n(INCENTRAL)] (1.3019, 1.1933) A B C X1 X21 X42 X213 X187 X237 X238 X239 X190 X714 X55 X869 X3747 (a, b, c) = (5, 6, 7) | AB = 1

X3747 (X239com[n(MEDIAL)*n(INCENTRAL)]) 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 \(f(a,b,c) = a^{2}(b + c)(a^{2} - bc)\)
Search Value (6, 9, 13): \(-2.181291436386\)
▸ Incident Central Lines16 lines

{1, 21}, {6, 2667}, {9, 2209}, {37, 1918}, {42, 213}, {55, 869}, {100, 2664}, {187, 237}, {190, 714}, {238, 239}, {756, 3294}, {922, 3285}, {1914, 2210}, {2195, 3512}, {2245, 3122}, {2300, 2309}

▸ Functional Relations4 relations