X1235

ISOTOMIC CONJUGATE OF X1176

X1235 is the isotomic conjugate of X1176.
< 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, 69 }: Central Line L(4, 69) { 24, 183 }: Central Line L(24, 183) { 54, 276 }: Central Line L(54, 276) { 5, 339 }: Central Line L(5, 339) { 112, 384 }: Central Line L(112, 384) { 297, 324 }: Central Line L(297, 324) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_264 = ISOTOMIC CONJUGATE OF CIRCUMCENTER (0.5720, 0.3293) X_427 = COMPLEMENT OF X(22) (0.5990, 0.3610) X_4 = ORTHOCENTER (0.6122, 0.3958) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_183 = TRILINEAR PRODUCT X(75)X(182) (0.4700, 0.1275) X_54 = KOSNITA POINT (0.5880, 0.2176) X_276 = ISOGONAL CONJUGATE OF X(217) (0.5554, 0.2771) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_339 = ISOTOMIC CONJUGATE OF X(250) (0.6002, 0.0170) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_384 = THE CONWAY POINT: EULER LINE INTERCEPT OF LINE X(32)X(76) (0.5532, 0.2412) X_297 = -HIRST INVERSE OF X(4) (0.8440, 1.0022) X_324 = ISOTOMIC CONJUGATE OF X(97) (0.5855, 0.3796) X_1235 = ISOTOMIC CONJUGATE OF X(1176) (0.5483, 0.2901) A B C X264 X427 X4 X69 X24 X183 X54 X276 X5 X339 X112 X384 X297 X324 X1235 (a, b, c) = (5, 6, 7) | AB = 1

X1235 (ISOTOMIC CONJUGATE OF X1176) 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 X1176
Barycentrics: \((\csc A) (\csc 2A) \sin(A + \omega ) : :\)
Search Value (6, 9, 13): \(6.472619646008\)
▸ Incident Central Lines9 lines

{4, 69}, {5, 339}, {24, 183}, {25, 1239}, {54, 276}, {83, 648}, {112, 384}, {297, 324}, {469, 1230}

▸ Functional Relations5 relations