X2331

X2-ISOCONJUGATE OF X1433

X2331 = X2187-cross conjugate of X40
< 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) { 33, 42 }: Central Line L(33, 42) { 55, 204 }: Central Line L(55, 204) { 73, 207 }: Central Line L(73, 207) { 1, 281 }: Central Line L(1, 281) { 198, 208 }: Central Line L(198, 208) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2187 = -ISOCONJUGATE OF X(189) (0.5209, -0.0495) X_40 = BEVAN POINT (0.4286, -0.0292) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_19 = CLAWSON POINT (0.6246, 0.4244) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_204 = -CEVA CONJUGATE OF X(19) (0.6683, 3.3982) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_207 = -CEVA CONJUGATE OF X(34) (0.5818, 0.9198) X_1 = INCENTER (0.5714, 0.2333) X_281 = -CROSS CONJUGATE OF X(9) (0.5796, 0.3202) X_198 = -CEVA CONJUGATE OF X(6) (0.4741, -0.0381) X_208 = -CEVA CONJUGATE OF X(34) (0.6242, -0.2728) X_2331 = -ISOCONJUGATE OF X(1433) (0.5368, -0.1361) A B C X2187 X40 X6 X19 X33 X42 X55 X204 X73 X207 X1 X281 X198 X208 X2331 (a, b, c) = (5, 6, 7) | AB = 1

X2331 (X2-ISOCONJUGATE OF X1433) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((1 + \sec A)(1 - \sec A + \sec B + \sec C) : :\)
Search Value (6, 9, 13): \(0.802145973070\)
▸ Incident Central Lines15 lines

{1, 281}, {6, 19}, {9, 1783}, {33, 42}, {55, 204}, {73, 207}, {77, 653}, {196, 223}, {198, 208}, {222, 1767}, {614, 1108}, {1103, 2324}, {1436, 1455}, {1735, 1741}, {1854, 1903}

▸ Functional Relations6 relations