X1233

ISOTOMIC CONJUGATE OF X1174

X1233 is the isotomic conjugate of X1174.
< 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) { 76, 85 }: Central Line L(76, 85) { 310, 333 }: Central Line L(310, 333) { 69, 674 }: Central Line L(69, 674) { 1226, 1234 }: Central Line L(1226, 1234) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1174 = 1st SARAGOSSA POINT OF X(57) (0.5906, 0.2472) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_85 = ISOTOMIC CONJUGATE OF X(9) (0.5610, 0.2421) X_310 = ISOTOMIC CONJUGATE OF X(42) (0.4762, 0.1536) X_333 = CEVAPOINT OF X(8) AND X(9) (0.4886, 0.1475) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_674 = CROSSDIFFERENCE OF X(6) AND X(514) (0.2078, -0.2856) X_1226 = ISOTOMIC CONJUGATE OF X(1167) (0.5568, 0.2087) X_1234 = ISOTOMIC CONJUGATE OF X(1175) (0.4624, 0.1482) X_1233 = ISOTOMIC CONJUGATE OF X(1174) (0.4731, 0.1551) A B C X1174 X76 X85 X310 X333 X69 X674 X1226 X1234 X1233 (a, b, c) = (5, 6, 7) | AB = 1

X1233 (ISOTOMIC CONJUGATE OF X1174) 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 X1174
Search Value (6, 9, 13): \(4.360488817361\)
▸ Incident Central Lines4 lines

{69, 674}, {76, 85}, {310, 333}, {1226, 1234}

▸ Functional Relations1 relation