X2155

X2-ISOCONJUGATE OF X20

X2155 = X1973-cross conjugate of X31
< 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) { 64, 71 }: Central Line L(64, 71) { 63, 610 }: Central Line L(63, 610) { 19, 774 }: Central Line L(19, 774) { 48, 820 }: Central Line L(48, 820) { 41, 1409 }: Central Line L(41, 1409) { 228, 1253 }: Central Line L(228, 1253) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1973 = TRILINEAR PRODUCT OF PU(39) (0.6378, 0.4717) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_64 = ISOGONAL CONJUGATE OF X(20) (0.5579, 1.5943) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_610 = -CEVA CONJUGATE OF X(1) (0.4310, -0.2713) X_19 = CLAWSON POINT (0.6246, 0.4244) X_774 = CROSSPOINT OF X(1) AND X(158) (0.6363, 0.3186) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_820 = CROSSPOINT OF X(1) AND X(255) (0.5413, 0.0659) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_1409 = -BETH CONJUGATE OF X(71) (0.5848, 0.1701) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_1253 = ISOGONAL CONJUGATE OF X(1088) (0.5237, 0.1548) X_2155 = -ISOCONJUGATE OF X(20) (0.5380, 1.2070) A B C X1973 X31 X64 X71 X63 X610 X19 X774 X48 X820 X41 X1409 X228 X1253 X2155 (a, b, c) = (5, 6, 7) | AB = 1

X2155 (X2-ISOCONJUGATE OF X20) 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 X20
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-4.705066096061\)
▸ Incident Central Lines11 lines

{19, 774}, {25, 2357}, {41, 1409}, {48, 820}, {63, 610}, {64, 71}, {228, 1253}, {294, 2270}, {607, 1400}, {1301, 2249}, {1820, 2173}

▸ Functional Relations2 relations