X2342

X2-ISOCONJUGATE OF X1465

X2342 = X104-Ceva conjugate of X909
< 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) { 31, 33 }: Central Line L(31, 33) { 1, 104 }: Central Line L(1, 104) { 55, 184 }: Central Line L(55, 184) { 200, 212 }: Central Line L(200, 212) { 283, 643 }: Central Line L(283, 643) { 678, 1253 }: Central Line L(678, 1253) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_909 = POINT ADHAFERA (0.9286, -0.3499) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_1 = INCENTER (0.5714, 0.2333) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_212 = -CEVA CONJUGATE OF X(41) (0.4719, 0.0786) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_643 = TRILINEAR MULTIPLIER FOR KIEPERT PARABOLA (0.0142, 0.3704) X_678 = CROSSPOINT OF X(1) AND X(44) (0.3571, 0.3499) X_1253 = ISOGONAL CONJUGATE OF X(1088) (0.5237, 0.1548) X_2342 = -ISOCONJUGATE OF X(1465) (0.8098, -0.1803) A B C X104 X909 X31 X33 X1 X55 X184 X200 X212 X283 X643 X678 X1253 X2342 (a, b, c) = (5, 6, 7) | AB = 1

X2342 (X2-ISOCONJUGATE OF X1465) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a (a - b - c)/(a^{2} (b + c) - 2 a b c - (b - c)^{2} (b + c)) : :\)
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(3.694500543651\)
▸ Alternate Coordinates1 form

  • Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X1465

▸ Incident Central Lines8 lines

{1, 104}, {31, 33}, {44, 2361}, {55, 184}, {103, 2078}, {200, 212}, {283, 643}, {678, 1253}

▸ Functional Relations6 relations