X2159

X2-ISOCONJUGATE OF X30

X2159 = barycentric product of PU(86)
< 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) { 71, 74 }: Central Line L(71, 74) { 48, 163 }: Central Line L(48, 163) { 63, 662 }: Central Line L(63, 662) { 228, 692 }: Central Line L(228, 692) { 610, 1820 }: Central Line L(610, 1820) { 1409, 1415 }: Central Line L(1409, 1415) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_610 = -CEVA CONJUGATE OF X(1) (0.4310, -0.2713) X_1820 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(264) (-0.0663, -0.0078) X_1409 = -BETH CONJUGATE OF X(71) (0.5848, 0.1701) X_1415 = -BETH CONJUGATE OF X(101) (0.4138, 0.6170) X_2159 = -ISOCONJUGATE OF X(30) (0.8357, -0.4858) A B C X71 X74 X48 X163 X63 X662 X228 X692 X610 X1820 X1409 X1415 X2159 (a, b, c) = (5, 6, 7) | AB = 1

X2159 (X2-ISOCONJUGATE OF X30) 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 X30
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-9.631185440663\)
▸ Incident Central Lines10 lines

{48, 163}, {63, 662}, {71, 74}, {228, 692}, {610, 1820}, {1304, 2249}, {1409, 1415}, {1461, 2003}, {1725, 2173}, {2157, 2312}

▸ Functional Relations9 relations