X1821

ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X287

X1821 is the isogonal conjugate of mimosa transform of X287.
< 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, 92 }: Central Line L(31, 92) { 48, 75 }: Central Line L(48, 75) { 98, 100 }: Central Line L(98, 100) { 71, 190 }: Central Line L(71, 190) { 63, 561 }: Central Line L(63, 561) { 19, 823 }: Central Line L(19, 823) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1755 = MIMOSA TRANSFORM OF X(287) (1.5943, 2.3982) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_98 = TARRY POINT (0.8891, -0.2281) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_561 = ISOGONAL CONJUGATE OF 4th POWER POINT (0.4126, 0.1125) X_19 = CLAWSON POINT (0.6246, 0.4244) X_823 = ISOGONAL CONJUGATE OF X(822) (0.5623, 0.6035) X_1821 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(287) (0.8340, -0.1768) A B C X1755 X31 X92 X48 X75 X98 X100 X71 X190 X63 X561 X19 X823 X1821 (a, b, c) = (5, 6, 7) | AB = 1

X1821 (ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X287) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/[a^{2}(a^{2}b^{2} + a^{2}c^{2} - b^{4} - c^{4}) : :\)
Barycentrics: \(\sec(A + \omega ) : :\)
Search Value (6, 9, 13): \(6.056865361136\)
▸ Alternate Coordinates1 form

  • Barycentrics: \(1/(a^{2} \cos B \cos C - bc \cos^{2} A) : :\)

▸ Incident Central Lines11 lines

{19, 823}, {31, 92}, {48, 75}, {63, 561}, {71, 190}, {98, 100}, {287, 651}, {653, 1400}, {1580, 1733}, {1760, 1820}, {1934, 1959}

▸ Functional Relations10 relations