X298–X350

Isotomic Conjugates II

Isotomic conjugates of previously cataloged triangle centers, together with X2-Hirst inverses and radical centers.
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) ( A R_b ): Euclid I.22 Guide Circle (A) ( B R_a ): Euclid I.22 Guide Circle (B) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) circumcircle: Circumcircle of △ABC incircle: Incircle of △ABC A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) R_b = Radius Point R_b (0.8571, 0.0000) R_a = Radius Point R_a (0.2857, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1 = INCENTER (0.5714, 0.2333) X_298 = ISOTOMIC CONJUGATE OF 1st ISOGONIC CENTER (0.4724, 0.1301) X_300 = ISOTOMIC CONJUGATE OF 1st ISODYNAMIC CENTER (0.5239, 0.2121) X_301 = ISOTOMIC CONJUGATE OF 2nd ISODYNAMIC CENTER (0.8423, -0.0749) X_303 = ISOTOMIC CONJUGATE OF 2nd NAPOLEON POINT (0.6079, 0.2757) X_304 = ISOTOMIC CONJUGATE OF X(19) (0.3683, 0.0513) X_309 = ISOTOMIC CONJUGATE OF X(40) (0.6237, 0.7391) X_315 = ISOTOMIC CONJUGATE OF X(66) (0.3323, -0.0666) X_317 = ISOTOMIC CONJUGATE OF X(68) (0.6796, 0.5070) X_324 = ISOTOMIC CONJUGATE OF X(97) (0.5855, 0.3796) X_325 = -HIRST INVERSE OF X(69) (-0.3370, -0.7398) X_334 = ISOTOMIC CONJUGATE OF X(238) (1.0545, 0.0278) X_336 = ISOTOMIC CONJUGATE OF X(240) (0.7020, -0.0409) X_338 = CEVAPOINT OF X(115) AND X(125) (0.6941, 0.0587) X_339 = ISOTOMIC CONJUGATE OF X(250) (0.6002, 0.0170) X_342 = ISOTOMIC CONJUGATE OF X(271) (0.5119, -0.1470) X_347 = ISOTOMIC CONJUGATE OF X(280) (0.4531, -0.0404) A B C X3 X1 X298 X300 X301 X303 X304 X309 X315 X317 X324 X325 X334 X336 X338 X339 X342 X347 (a, b, c) = (5, 6, 7) | AB = 1

X298–X350 (Isotomic Conjugates II) — 16 representative centers (from 53 in collection) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).