X3905

X626com[INVERSE(n(3rd EULER TRIANGLE))]

< 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, 75 }: Central Line L(1, 75) { 32, 712 }: Central Line L(32, 712) { 192, 2329 }: Central Line L(192, 2329) { 726, 1975 }: Central Line L(726, 1975) { 239, 3061 }: Central Line L(239, 3061) { 1429, 3210 }: Central Line L(1429, 3210) 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_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_712 = EVEN (- 3, - 2) INFINITY POINT (0.0337, -0.1011) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_2329 = -ISOCONJUGATE OF X(1431) (0.5250, 0.1782) X_726 = EVEN (- 2, -1) INFINITY POINT (1.0187, 0.5358) X_1975 = CROSSSUM OF PU(39) (0.4220, 0.1682) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_3061 = INTERSECTION OF LINES X(1)X(6) AND X(2)X(257) (0.4848, 0.1304) X_1429 = -BETH CONJUGATE OF X(239) (0.9040, 0.8443) X_3210 = -CEVA CONJUGATE OF X(2) (0.7610, 0.3837) X_3905 = com[INVERSE(n(3rd EULER TRIANGLE))] (0.7693, 0.4106) A B C X1 X75 X32 X712 X192 X2329 X726 X1975 X239 X3061 X1429 X3210 X3905 (a, b, c) = (5, 6, 7) | AB = 1

X3905 (X626com[INVERSE(n(3rd EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(Barycentrics a^{4}+(b^{3}+c^{3}) a-b c (b^{2}+c^{2}) : :\)
Search Value (6, 9, 13): \(-2.252197542778\)
▸ Incident Central Lines7 lines

{1, 75}, {32, 712}, {192, 2329}, {239, 3061}, {726, 1975}, {1429, 3210}, {1959, 3187}