X2083

NK-TRANSFORM OF X19

< 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, 163 }: Central Line L(1, 163) { 19, 158 }: Central Line L(19, 158) { 63, 304 }: Central Line L(63, 304) { 48, 1820 }: Central Line L(48, 1820) { 920, 1755 }: Central Line L(920, 1755) { 774, 1973 }: Central Line L(774, 1973) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_811 = ISOGONAL CONJUGATE OF X(810) (0.4151, 0.5616) X_810 = CROSSPOINT OF X(1) AND X(163) (3.1222, -0.5010) X_1 = INCENTER (0.5714, 0.2333) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_19 = CLAWSON POINT (0.6246, 0.4244) X_158 = -CROSS CONJUGATE OF X(92) (0.6215, 0.5117) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_304 = ISOTOMIC CONJUGATE OF X(19) (0.3683, 0.0513) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_1820 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(264) (-0.0663, -0.0078) X_920 = -CEVA CONJUGATE OF X(1) (0.8006, 0.5344) X_1755 = MIMOSA TRANSFORM OF X(287) (1.5943, 2.3982) X_774 = CROSSPOINT OF X(1) AND X(158) (0.6363, 0.3186) X_1973 = TRILINEAR PRODUCT OF PU(39) (0.6378, 0.4717) X_2083 = NK-TRANSFORM OF X(19) (0.6347, 0.1449) A B C X811 X810 X1 X163 X19 X158 X63 X304 X48 X1820 X920 X1755 X774 X1973 X2083 (a, b, c) = (5, 6, 7) | AB = 1

X2083 (NK-TRANSFORM OF X19) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\tan^{2} B + \tan^{2} C) \tan A\)
Search Value (6, 9, 13): \(5.088304471565\)
▸ Alternate Coordinates1 form
  • Trilinears: \(\tan B \cot C + \tan C \cot B : :\)

▸ Incident Central Lines9 lines

{1, 163}, {19, 158}, {48, 1820}, {63, 304}, {774, 1973}, {920, 1755}, {1497, 1953}, {1760, 1966}, {1821, 1969}

▸ Functional Relations3 relations