X1884

ZOSMA TRANSFORM OF X758

X1884 = polar conjugate of isotomic conjugate of X35466
< 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) { 2, 3 }: Euler Line { 34, 1464 }: Central Line L(34, 1464) { 513, 1835 }: Central Line L(513, 1835) { 1474, 1865 }: Central Line L(1474, 1865) { 1829, 1831 }: Central Line L(1829, 1831) { 1828, 1844 }: Central Line L(1828, 1844) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_4 = ORTHOCENTER (0.6122, 0.3958) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_1464 = -BETH CONJUGATE OF X(758) (0.8584, 0.9843) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_1835 = ZOSMA TRANSFORM OF X(30) (0.6564, 0.6795) X_1474 = -BETH CONJUGATE OF X(1172) (0.6165, 0.3951) X_1865 = ZOSMA TRANSFORM OF X(284) (0.6133, 0.4068) X_1829 = ZOSMA TRANSFORM OF X(10) (0.6233, 0.4161) X_1831 = ZOSMA TRANSFORM OF X(12) (0.6144, 0.3920) X_1828 = ZOSMA TRANSFORM OF X(8) (0.6327, 0.4332) X_1844 = ZOSMA TRANSFORM OF X(79) (0.6067, 0.3599) X_1884 = ZOSMA TRANSFORM OF X(758) (0.7096, 0.6505) A B C X2 X3 X4 X34 X1464 X513 X1835 X1474 X1865 X1829 X1831 X1828 X1844 X1884 (a, b, c) = (5, 6, 7) | AB = 1

X1884 (ZOSMA TRANSFORM OF X758) 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,\(x : y : z\) =X758
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X758
Search Value (6, 9, 13): \(0.464607888322\)
▸ Incident Central Lines7 lines

{2, 3}, {34, 1464}, {513, 1835}, {1474, 1865}, {1828, 1844}, {1829, 1831}, {1867, 1891}

▸ Functional Relations1 relation

  • X1884 = polar conjugate of isotomic conjugate of X35466

Notes

As a point on the Euler line, X1884 has Shinagawa coefficients \((\$a\$F, -(E + F)^{3} + \$aS_{A}\$ + 3ES^{2})\).