X2255

X2-ISOCONJUGATE OF X923

< 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, 40 }: Central Line L(6, 40) { 31, 198 }: Central Line L(31, 198) { 208, 608 }: Central Line L(208, 608) { 221, 604 }: Central Line L(221, 604) { 84, 1108 }: Central Line L(84, 1108) { 1191, 1333 }: Central Line L(1191, 1333) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_40 = BEVAN POINT (0.4286, -0.0292) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_198 = -CEVA CONJUGATE OF X(6) (0.4741, -0.0381) X_208 = -CEVA CONJUGATE OF X(34) (0.6242, -0.2728) X_608 = ISOGONAL CONJUGATE OF X(345) (0.6361, 0.4975) X_221 = -CEVA CONJUGATE OF X(56) (0.5474, -0.0688) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_1108 = CROSSPOINT OF X(2) AND X(84) (0.6346, 0.3084) X_1191 = 2nd SARAGOSSA POINT OF X(56) (0.6211, 0.2922) X_1333 = POINT ALULA (0.6308, 0.3181) X_2255 = -ISOCONJUGATE OF X(923) (0.6334, 0.3250) A B C X6 X40 X31 X198 X208 X608 X221 X604 X84 X1108 X1191 X1333 X2255 (a, b, c) = (5, 6, 7) | AB = 1

X2255 (X2-ISOCONJUGATE OF X923) 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 X923
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
▸ Incident Central Lines6 lines

{6, 40}, {31, 198}, {84, 1108}, {208, 608}, {221, 604}, {1191, 1333}