X2220

X2-ISOCONJUGATE OF X596

X2220 = crosspoint of X163 and X1252
< 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) { 3, 6 }: Brocard Axis { 37, 82 }: Central Line L(37, 82) { 31, 872 }: Central Line L(31, 872) { 560, 692 }: Central Line L(560, 692) { 172, 1100 }: Central Line L(172, 1100) { 604, 1415 }: Central Line L(604, 1415) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_1252 = ISOGONAL CONJUGATE OF X(1086) (0.4699, 0.3541) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_82 = ISOGONAL CONJUGATE OF X(38) (0.5943, 0.2703) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_872 = INTERSECTION OF LINES X(37)X(42) AND X(43)X(75) (0.6029, 0.2656) X_560 = 4th POWER POINT (0.6520, 0.3639) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_1100 = COMPLEMENT OF X(319) (0.5787, 0.2419) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_1415 = -BETH CONJUGATE OF X(101) (0.4138, 0.6170) X_2220 = -ISOCONJUGATE OF X(596) (0.6569, 0.3611) A B C X163 X1252 X3 X6 X37 X82 X31 X872 X560 X692 X172 X1100 X604 X1415 X2220 (a, b, c) = (5, 6, 7) | AB = 1

X2220 (X2-ISOCONJUGATE OF X596) 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 X596
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.106108174860\)
▸ Incident Central Lines10 lines

{3, 6}, {31, 872}, {37, 82}, {172, 1100}, {560, 692}, {604, 1415}, {609, 1449}, {906, 1743}, {1918, 2210}, {2174, 2251}

▸ Functional Relations6 relations