X480

X200-CEVA CONJUGATE OF X220

X480 = isogonal conjugate of X479
< 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) { 9, 55 }: Central Line L(9, 55) { 56, 78 }: Central Line L(56, 78) { 100, 144 }: Central Line L(100, 144) { 8, 344 }: Central Line L(8, 344) { 10, 954 }: Central Line L(10, 954) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_9 = MITTENPUNKT (0.5110, 0.1615) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_144 = ANTICOMPLEMENT OF X(7) (0.4317, 0.0461) X_8 = NAGEL POINT (0.4694, 0.1333) X_344 = ISOTOMIC CONJUGATE OF X(277) (0.6218, 0.2693) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_954 = INTERSECTION OF LINES X(1)X(6) AND X(3)X(7) (0.5619, 0.2220) X_480 = -CEVA CONJUGATE OF X(220) (0.4089, 0.0793) A B C X200 X220 X9 X55 X56 X78 X100 X144 X8 X344 X10 X954 X480 (a, b, c) = (5, 6, 7) | AB = 1

X480 (X200-CEVA CONJUGATE OF X220) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\cot A/2 \cos A/2)^{2} : :\)
Barycentrics: \((\sin A)(\cot A/2 \cos A/2)^{2} : :\)
Search Value (6, 9, 13): \(5.061393049831\)
▸ Alternate Coordinates1 form

  • Trilinears: \(a(b + c - a)^{3} : b(c + a - b)^{3} : c(a + b - c)^{3}\)

▸ Incident Central Lines5 lines

{8, 344}, {9, 55}, {10, 954}, {56, 78}, {100, 144}

▸ Functional Relations5 relations