X1216

ISOGONAL CONJUGATE OF X1179

X1216 is the isogonal conjugate of X1179.
< 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) { 1352, 3313 }: Central Line L(1352, 3313) { 3, 49 }: Central Line L(3, 49) { 2, 52 }: Central Line L(2, 52) { 68, 69 }: Central Line L(68, 69) { 5, 141 }: Central Line L(5, 141) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1352 = REFLECTION OF X(6) IN X(5) (0.5122, 0.2306) X_3313 = INTERSECTION OF LINES X(3)X(6) AND X(66)X(69) (0.3845, -0.0887) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_49 = CENTER OF SINE-TRIPLE-ANGLE CIRCLE (0.6275, 0.1789) X_2 = CENTROID (0.5374, 0.2000) X_52 = ORTHOCENTER OF ORTHIC TRIANGLE (0.7155, 0.4580) X_68 = PRASOLOV POINT (-0.0535, -0.0055) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_1216 = ISOGONAL CONJUGATE OF X(1179) (0.4484, 0.0709) A B C X1352 X3313 X3 X49 X2 X52 X68 X69 X5 X141 X1216 (a, b, c) = (5, 6, 7) | AB = 1

X1216 (ISOGONAL CONJUGATE OF X1179) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as in X1179
Search Value (6, 9, 13): \(4.315986556307\)
▸ Incident Central Lines6 lines

{2, 52}, {3, 49}, {5, 141}, {54, 323}, {68, 69}, {140, 389}

▸ Functional Relations11 relations