X1241

ISOTOMIC CONJUGATE OF X1194

X1241 is the isotomic conjugate of X1194.
< 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) { 25, 76 }: Central Line L(25, 76) { 6, 305 }: Central Line L(6, 305) { 251, 384 }: Central Line L(251, 384) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_305 = ISOTOMIC CONJUGATE OF X(25) (0.3258, 0.0397) X_251 = ISOGONAL CONJUGATE OF X(141) (0.6177, 0.3042) X_384 = THE CONWAY POINT: EULER LINE INTERCEPT OF LINE X(32)X(76) (0.5532, 0.2412) X_1241 = ISOTOMIC CONJUGATE OF X(1194) (0.4668, 0.1567) A B C X39 X69 X25 X76 X6 X305 X251 X384 X1241 (a, b, c) = (5, 6, 7) | AB = 1

X1241 (ISOTOMIC CONJUGATE OF X1194) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(a^{2}f(a,b,c) : 1/(b^{2}f(b,c,a)) : 1/(c^{2}f(c,a,b))\), where f(a,b,c) is as in X1194
Search Value (6, 9, 13): \(4.476217396461\)
▸ Incident Central Lines3 lines

{6, 305}, {25, 76}, {251, 384}

▸ Functional Relations2 relations