X2202

X2-ISOCONJUGATE OF X296

X2202 = X1948-Ceva conjugate of X1936
< 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) { 6, 19 }: Central Line L(6, 19) { 4, 41 }: Central Line L(4, 41) { 29, 284 }: Central Line L(29, 284) { 48, 393 }: Central Line L(48, 393) { 108, 1055 }: Central Line L(108, 1055) { 604, 1249 }: Central Line L(604, 1249) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1948 = CROSSDIFFERENCE OF PU(19) (0.8752, 1.1631) X_1936 = CROSSDIFFERENCE OF PU(15) (-1.1948, -3.0115) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_19 = CLAWSON POINT (0.6246, 0.4244) X_4 = ORTHOCENTER (0.6122, 0.3958) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_393 = -CROSS CONJUGATE OF X(4) (0.6247, 0.5263) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_1055 = POINT ALIOTH (1.0459, 1.3483) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_1249 = ISOGONAL CONJUGATE OF X(1073) (-0.9482, -15.9845) X_2202 = -ISOCONJUGATE OF X(296) (0.6892, 0.8368) A B C X1948 X1936 X6 X19 X4 X41 X29 X284 X48 X393 X108 X1055 X604 X1249 X2202 (a, b, c) = (5, 6, 7) | AB = 1

X2202 (X2-ISOCONJUGATE OF X296) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X296
Barycentrics: \(a^{2}/f(a,b,c) : :\)
Search Value (6, 9, 13): \(1.143525261676\)
▸ Alternate Coordinates1 form

  • Trilinears: \((\tan A)(\cos^{2} A - \cos B \cos C) : :\)

▸ Incident Central Lines15 lines

{4, 41}, {6, 19}, {29, 284}, {48, 393}, {53, 2174}, {101, 1785}, {108, 1055}, {281, 2268}, {318, 2329}, {604, 1249}, {672, 1783}, {851, 1430}, {910, 1875}, {1870, 2170}, {1884, 2201}

▸ Functional Relations4 relations