X3765

X869com[T(bc, c²)]

X3765 = anticomplement of X37596
< 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) { 4, 8 }: Fuhrmann Line { 76, 239 }: Central Line L(76, 239) { 6, 313 }: Central Line L(6, 313) { 2, 330 }: Central Line L(2, 330) { 730, 869 }: Central Line L(730, 869) { 75, 1654 }: Central Line L(75, 1654) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_8 = NAGEL POINT (0.4694, 0.1333) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_2 = CENTROID (0.5374, 0.2000) X_330 = ISOTOMIC CONJUGATE OF X(192) (0.4364, 0.1391) X_730 = EVEN (- 2, 1) INFINITY POINT (0.0843, -0.1730) X_869 = INTERSECTION OF LINES X(1)X(2) AND X(31)X(32) (0.6039, 0.2651) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_1654 = 1st HATZIPOLAKIS PARALLELIAN POINT (0.5055, 0.1656) X_3765 = com[T(bc, c2)] (0.4902, 0.1715) A B C X4 X8 X76 X239 X6 X313 X2 X330 X730 X869 X75 X1654 X3765 (a, b, c) = (5, 6, 7) | AB = 1

X3765 (X869com[T(bc, c²)]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(bc(a^{3} + b^{2}c + c^{2}b) : ca(b^{3} + c^{2}a + a^{2}c) : ab(c^{3} + a^{2}b + b^{2}a)\)
Search Value (6, 9, 13): \(3.893916464473\)
▸ Incident Central Lines9 lines

{2, 330}, {4, 8}, {6, 313}, {75, 1654}, {76, 239}, {668, 3661}, {730, 869}, {894, 3596}, {1230, 3187}

▸ Functional Relations1 relation

  • X3765 = anticomplement of X37596