X1228

ISOTOMIC CONJUGATE OF X1169

X1228 is the isotomic conjugate of X1169.
< 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) { 2, 39 }: Central Line L(2, 39) { 12, 313 }: Central Line L(12, 313) { 312, 857 }: Central Line L(312, 857) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1169 = 1st SARAGOSSA POINT OF X(37) (0.6140, 0.2950) X_2 = CENTROID (0.5374, 0.2000) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_857 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(75) (-0.3133, -2.0259) X_1228 = ISOTOMIC CONJUGATE OF X(1169) (0.4290, 0.1179) A B C X1169 X2 X39 X12 X313 X312 X857 X1228 (a, b, c) = (5, 6, 7) | AB = 1

X1228 (ISOTOMIC CONJUGATE OF X1169) 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 X1169
Search Value (6, 9, 13): \(5.271267953398\)
▸ Incident Central Lines3 lines

{2, 39}, {12, 313}, {312, 857}

▸ Functional Relations1 relation