X981

ISOGONAL CONJUGATE OF X980

X981 is the isogonal conjugate of X980.
< 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) { 21, 32 }: Central Line L(21, 32) { 8, 213 }: Central Line L(8, 213) { 6, 314 }: Central Line L(6, 314) { 256, 573 }: Central Line L(256, 573) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_980 = INTERSECTION OF LINES X(1)X(3) AND X(2)X(39) (0.5644, 0.2204) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_8 = NAGEL POINT (0.4694, 0.1333) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_256 = 1st SHARYGIN POINT (0.5601, 0.2146) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_981 = ISOGONAL CONJUGATE OF X(980) (0.5781, 0.2464) A B C X980 X21 X32 X8 X213 X6 X314 X256 X573 X981 (a, b, c) = (5, 6, 7) | AB = 1

X981 (ISOGONAL CONJUGATE OF X980) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/[a^{2}(b^{2} + bc + c^{2}) + (b^{2} + c^{2})(bc + ca + ab)] : :\)
Search Value (6, 9, 13): \(1.475039588170\)
▸ Incident Central Lines4 lines

{6, 314}, {8, 213}, {21, 32}, {256, 573}

▸ Functional Relations2 relations