X1840

ZOSMA TRANSFORM OF X39

X1840 = polar conjugate of X32010
< 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) { 12, 37 }: Central Line L(12, 37) { 19, 318 }: Central Line L(19, 318) { 419, 1215 }: Central Line L(419, 1215) { 1839, 1900 }: Central Line L(1839, 1900) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_19 = CLAWSON POINT (0.6246, 0.4244) X_318 = ISOTOMIC CONJUGATE OF X(77) (0.5514, 0.2839) X_419 = -HIRST INVERSE OF X(25) (0.7266, 0.6950) X_1215 = ISOGONAL CONJUGATE OF X(1178) (0.5340, 0.2011) X_1839 = ZOSMA TRANSFORM OF X(37) (0.6155, 0.4034) X_1900 = ZOSMA TRANSFORM OF X(1125) (0.6180, 0.4064) X_1840 = ZOSMA TRANSFORM OF X(39) (0.6105, 0.3972) A B C X12 X37 X19 X318 X419 X1215 X1839 X1900 X1840 (a, b, c) = (5, 6, 7) | AB = 1

X1840 (ZOSMA TRANSFORM OF X39) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: (y + z) sec A : (z + x) sec B : (x + y) sec C,\(x : y : z\) = X39
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X39
Search Value (6, 9, 13): \(-5.119519656826\)
▸ Incident Central Lines4 lines

{12, 37}, {19, 318}, {419, 1215}, {1839, 1900}

▸ Functional Relations1 relation

  • X1840 = polar conjugate of X32010