X2195

X2-ISOCONJUGATE OF X241

X2195 = X105-Ceva conjugate of X1438
< 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, 57 }: Central Line L(31, 57) { 9, 294 }: Central Line L(9, 294) { 6, 692 }: Central Line L(6, 692) { 238, 516 }: Central Line L(238, 516) { 333, 643 }: Central Line L(333, 643) { 42, 1174 }: Central Line L(42, 1174) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_1438 = -BETH CONJUGATE OF X(294) (0.9961, -0.1135) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_9 = MITTENPUNKT (0.5110, 0.1615) X_294 = ISOGONAL CONJUGATE OF X(241) (0.9276, -0.0575) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_333 = CEVAPOINT OF X(8) AND X(9) (0.4886, 0.1475) X_643 = TRILINEAR MULTIPLIER FOR KIEPERT PARABOLA (0.0142, 0.3704) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_1174 = 1st SARAGOSSA POINT OF X(57) (0.5906, 0.2472) X_2195 = -ISOCONJUGATE OF X(241) (0.9504, -0.0695) A B C X105 X1438 X31 X57 X9 X294 X6 X692 X238 X516 X333 X643 X42 X1174 X2195 (a, b, c) = (5, 6, 7) | AB = 1

X2195 (X2-ISOCONJUGATE OF X241) 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 X241
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.579901634606\)
▸ Incident Central Lines12 lines

{1, 1814}, {6, 692}, {9, 294}, {19, 2212}, {31, 57}, {42, 1174}, {55, 5452}, {238, 516}, {284, 2293}, {333, 643}, {902, 919}, {1027, 1769}

▸ Functional Relations5 relations