X1764

MIMOSA TRANSFORM OF X332

X1764 = X314-Ceva conjugate of X1
< 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, 3 }: OI Line (Incenter–Circumcenter Line) { 63, 321 }: Central Line L(63, 321) { 2, 573 }: Central Line L(2, 573) { 81, 572 }: Central Line L(81, 572) { 345, 1018 }: Central Line L(345, 1018) { 333, 1746 }: Central Line L(333, 1746) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_1 = INCENTER (0.5714, 0.2333) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_2 = CENTROID (0.5374, 0.2000) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_345 = ISOTOMIC CONJUGATE OF X(278) (0.3405, 0.0381) X_1018 = -CROSS CONJUGATE OF X(1) (0.1051, 0.4358) X_333 = CEVAPOINT OF X(8) AND X(9) (0.4886, 0.1475) X_1746 = MIMOSA TRANSFORM OF X(261) (0.5754, 0.3762) X_1764 = MIMOSA TRANSFORM OF X(332) (0.4054, -0.0717) A B C X314 X1 X3 X63 X321 X2 X573 X81 X572 X345 X1018 X333 X1746 X1764 (a, b, c) = (5, 6, 7) | AB = 1

X1764 (MIMOSA TRANSFORM OF X332) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: - (cos A)/x + (cos B)/y + (cos C)/z,\(x : y : z\) = X332
Search Value (6, 9, 13): \(13.343641355420\)
▸ Alternate Coordinates1 form

  • Trilinears: \(a^{4}(b + c) + a^{3}(b^{2} + c^{2}) - a^{2}(b^{3} + c^{3}) - a(b^{2} + c^{2})^{2} - bc(b - c)^{2}(b + c) : :\)

▸ Incident Central Lines7 lines

{1, 3}, {2, 573}, {63, 321}, {81, 572}, {333, 1746}, {345, 1018}, {978, 1695}

▸ Functional Relations8 relations