X2215

X2-ISOCONJUGATE OF X405

X2215 = isogonal conjugate of X5271
< 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) { 1, 71 }: Central Line L(1, 71) { 48, 58 }: Central Line L(48, 58) { 63, 86 }: Central Line L(63, 86) { 6, 228 }: Central Line L(6, 228) { 34, 1400 }: Central Line L(34, 1400) { 56, 1409 }: Central Line L(56, 1409) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_1400 = -BETH CONJUGATE OF X(37) (0.6246, 0.3268) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_1409 = -BETH CONJUGATE OF X(71) (0.5848, 0.1701) X_2215 = -ISOCONJUGATE OF X(405) (0.6239, 0.3153) A B C X1 X71 X48 X58 X63 X86 X6 X228 X34 X1400 X56 X1409 X2215 (a, b, c) = (5, 6, 7) | AB = 1

X2215 (X2-ISOCONJUGATE OF X405) 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 X405
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.396750158122\)
▸ Alternate Coordinates1 form

  • Barycentrics: \(a^{2}/(a^{3} - a (b + c)^{2} - 2 b c (b + c)) : :\)

▸ Incident Central Lines9 lines

{1, 71}, {6, 228}, {31, 1474}, {34, 1400}, {48, 58}, {56, 1409}, {63, 86}, {937, 2183}, {1220, 1732}

▸ Functional Relations1 relation

  • X2215 = isogonal conjugate of X5271