X3791

X2887com[T(-bc, b²)]

< 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, 333 }: Central Line L(1, 333) { 171, 239 }: Central Line L(171, 239) { 31, 740 }: Central Line L(31, 740) { 6, 1215 }: Central Line L(6, 1215) { 43, 1964 }: Central Line L(43, 1964) { 238, 1999 }: Central Line L(238, 1999) 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_333 = CEVAPOINT OF X(8) AND X(9) (0.4886, 0.1475) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_740 = EVEN (- 1, 1) INFINITY POINT (0.9745, 0.5915) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1215 = ISOGONAL CONJUGATE OF X(1178) (0.5340, 0.2011) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_1964 = BICENTRIC SUM OF PU(36) (0.6058, 0.2641) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_1999 = ORTHOCORRESPONDENT OF X(10) (0.6884, 0.3479) X_3791 = com[T(-bc, b2)] (0.7251, 0.3925) A B C X1 X333 X171 X239 X31 X740 X6 X1215 X43 X1964 X238 X1999 X3791 (a, b, c) = (5, 6, 7) | AB = 1

X3791 (X2887com[T(-bc, b²)]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(2 a^{3}+(b+c) a^{2}-b c (b+c) : :\)
Search Value (6, 9, 13): \(-1.694612286693\)
▸ Incident Central Lines11 lines

{1, 333}, {6, 1215}, {10, 3745}, {31, 740}, {43, 1964}, {171, 239}, {238, 1999}, {321, 2308}, {519, 3703}, {1386, 3741}, {3244, 3748}