X1898

ZOSMA TRANSFORM OF X1068

X1898 = reflection of X65 in X1837
< 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) { 65, 1837 }: Central Line L(65, 1837) { 4, 65 }: Central Line L(4, 65) { 3, 90 }: Central Line L(3, 90) { 21, 662 }: Central Line L(21, 662) { 354, 496 }: Central Line L(354, 496) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1837 = ZOSMA TRANSFORM OF X(34) (0.5972, 0.2070) X_4 = ORTHOCENTER (0.6122, 0.3958) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_90 = -CROSS CONJUGATE OF X(1) (0.1022, 0.0201) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_354 = WEILL POINT (0.5823, 0.2533) X_496 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(495) (0.5843, 0.2201) X_1898 = ZOSMA TRANSFORM OF X(1068) (0.5903, 0.1207) A B C X65 X1837 X4 X3 X90 X21 X662 X354 X496 X1898 (a, b, c) = (5, 6, 7) | AB = 1

X1898 (ZOSMA TRANSFORM OF X1068) 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,\(x : y : z\) = X1068
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X1068
Search Value (6, 9, 13): \(4.193989471841\)
▸ Incident Central Lines9 lines

{3, 90}, {4, 65}, {21, 662}, {56, 971}, {84, 1470}, {354, 496}, {411, 1776}, {912, 1479}, {920, 1155}

▸ Functional Relations3 relations