X1930

BICENTRIC SUM OF PU(14)

X1930 = X75-Ceva conjugate of X38
< 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) { 8, 150 }: Central Line L(8, 150) { 76, 334 }: Central Line L(76, 334) { 213, 742 }: Central Line L(213, 742) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_82 = ISOGONAL CONJUGATE OF X(38) (0.5943, 0.2703) X_1 = INCENTER (0.5714, 0.2333) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_8 = NAGEL POINT (0.4694, 0.1333) X_150 = REFLECTION OF X(20) IN X(103) (1.1837, -0.4499) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_334 = ISOTOMIC CONJUGATE OF X(238) (1.0545, 0.0278) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_742 = EVEN (- 1, 2) INFINITY POINT (0.1179, -0.2104) X_1930 = BICENTRIC SUM OF PU(14) (0.4644, 0.1374) A B C X82 X1 X75 X8 X150 X76 X334 X213 X742 X1930 (a, b, c) = (5, 6, 7) | AB = 1

X1930 (BICENTRIC SUM OF PU(14)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(b^{2}c^{2}(b^{2} + c^{2}) : :\)
Search Value (6, 9, 13): \(4.475098171785\)
▸ Alternate Coordinates1 form

  • Trilinears: \(|AP(1)|^{2} + |AU(1)|^{2} : :\)

▸ Incident Central Lines4 lines

{1, 75}, {8, 150}, {76, 334}, {213, 742}

▸ Functional Relations8 relations