X1867

ZOSMA TRANSFORM OF X386

X1867 = polar conjugate of X37870
< 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) { 4, 8 }: Fuhrmann Line { 12, 37 }: Central Line L(12, 37) { 10, 407 }: Central Line L(10, 407) { 427, 1838 }: Central Line L(427, 1838) { 1118, 1892 }: Central Line L(1118, 1892) { 1785, 1904 }: Central Line L(1785, 1904) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_8 = NAGEL POINT (0.4694, 0.1333) 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_10 = SPIEKER CENTER (0.5204, 0.1833) X_407 = CROSSPOINT OF X(4) AND X(225) (0.6211, 0.4189) X_427 = COMPLEMENT OF X(22) (0.5990, 0.3610) X_1838 = ZOSMA TRANSFORM OF X(35) (0.6188, 0.4218) X_1118 = 1st HATZIPOLAKIS PERSPECTOR (0.6247, 0.5521) X_1892 = ZOSMA TRANSFORM OF X(990) (0.6032, 0.3467) X_1785 = MIMOSA TRANSFORM OF X(1295) (0.7297, 0.8635) X_1904 = ZOSMA TRANSFORM OF X(1468) (0.6044, 0.3753) X_1867 = ZOSMA TRANSFORM OF X(386) (0.6074, 0.3868) A B C X4 X8 X12 X37 X10 X407 X427 X1838 X1118 X1892 X1785 X1904 X1867 (a, b, c) = (5, 6, 7) | AB = 1

X1867 (ZOSMA TRANSFORM OF X386) 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,\(x : y : z\) = X386
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X386
Search Value (6, 9, 13): \(-10.089334111121\)
▸ Incident Central Lines7 lines

{4, 8}, {10, 407}, {12, 37}, {427, 1838}, {1118, 1892}, {1785, 1904}, {1884, 1891}

▸ Functional Relations2 relations