X3766

X3250com[T(bc, c²)]

X3766 = anticomplement of X665
< 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) { 2, 665 }: Central Line L(2, 665) { 316, 512 }: Central Line L(316, 512) { 75, 900 }: Central Line L(75, 900) { 150, 928 }: Central Line L(150, 928) { 514, 661 }: Central Line L(514, 661) { 334, 876 }: Central Line L(334, 876) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_665 = CROSSDIFFERENCE OF X(2) AND X(11) (1.4579, 1.0988) X_316 = DROUSSENT PIVOT (-0.7850, -1.9118) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_900 = CROSSDIFFERENCE OF X(6) AND X(101) (0.9566, 0.6107) X_150 = REFLECTION OF X(20) IN X(103) (1.1837, -0.4499) X_928 = CROSSDIFFERENCE OF X(6) AND X(11) (1.0703, 0.4459) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_334 = ISOTOMIC CONJUGATE OF X(238) (1.0545, 0.0278) X_876 = ISOTOMIC CONJUGATE OF X(874) (0.9873, -0.0185) X_3766 = com[T(bc, c2)] (-1.3036, -1.5978) A B C X2 X665 X316 X512 X75 X900 X150 X928 X514 X661 X334 X876 X3766 (a, b, c) = (5, 6, 7) | AB = 1

X3766 (X3250com[T(bc, c²)]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(bc(b - c)(bc - a^{2}) : ca(c - a)(ca - b^{2}) : ab(a - b)(ab - c^{2})\)
Search Value (6, 9, 13): \(14.296344260709\)
▸ Incident Central Lines11 lines

{2, 665}, {75, 900}, {150, 928}, {244, 1111}, {316, 512}, {334, 876}, {335, 918}, {513, 3261}, {514, 661}, {668, 891}, {885, 2481}

▸ Functional Relations6 relations