X204

X1-CEVA CONJUGATE OF X19

X204 = X1-Ceva conjugate of X19
< 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, 33 }: Central Line L(6, 33) { 19, 31 }: Central Line L(19, 31) { 25, 34 }: Central Line L(25, 34) { 63, 162 }: Central Line L(63, 162) { 108, 223 }: Central Line L(108, 223) { 207, 221 }: Central Line L(207, 221) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_223 = -CEVA CONJUGATE OF X(57) (0.4996, -0.0528) X_207 = -CEVA CONJUGATE OF X(34) (0.5818, 0.9198) X_221 = -CEVA CONJUGATE OF X(56) (0.5474, -0.0688) X_204 = -CEVA CONJUGATE OF X(19) (0.6683, 3.3982) A B C X1 X19 X6 X33 X31 X25 X34 X63 X162 X108 X223 X207 X221 X204 (a, b, c) = (5, 6, 7) | AB = 1

X204 (X1-CEVA CONJUGATE OF X19) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(A,B,C) : f(B,C,A) : f(C,A,B)\), where \(f(A,B,C) = (\tan A)(\tan B + \tan C - \tan A)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(0.347587580012\)
▸ Incident Central Lines7 lines

{6, 33}, {19, 31}, {25, 34}, {55, 1033}, {63, 162}, {108, 223}, {207, 221}

▸ Functional Relations5 relations