X2985

DC(X56)

X2985 = cevapoint of X6 and X8
< 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) { 519, 595 }: Central Line L(519, 595) { 8, 1397 }: Central Line L(8, 1397) { 1999, 2300 }: Central Line L(1999, 2300) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_8 = NAGEL POINT (0.4694, 0.1333) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_595 = 2nd HATZIPOLAKIS-YIU POINT (0.6456, 0.3307) X_1397 = -BETH CONJUGATE OF X(31) (0.6524, 0.4026) X_1999 = ORTHOCORRESPONDENT OF X(10) (0.6884, 0.3479) X_2300 = -ISOCONJUGATE OF X(1220) (0.6199, 0.2909) X_2985 = DC(X(56)) (0.5198, 0.2076) A B C X6 X8 X519 X595 X1397 X1999 X2300 X2985 (a, b, c) = (5, 6, 7) | AB = 1

X2985 (DC(X56)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as given just before X2979, using U = X56
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.831841228444\)
▸ Incident Central Lines3 lines

{8, 1397}, {519, 595}, {1999, 2300}

▸ Functional Relations5 relations