X267

ISOGONAL CONJUGATE OF X191

X267 is the isogonal conjugate of X191.
< 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) { 1, 229 }: Central Line L(1, 229) { 35, 37 }: Central Line L(35, 37) { 10, 191 }: Central Line L(10, 191) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_229 = -CEVA CONJUGATE OF X(81) (0.5961, 0.2991) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_191 = -CEVA CONJUGATE OF X(1) (0.4859, 0.1209) X_267 = ISOGONAL CONJUGATE OF X(191) (0.6207, 0.3648) A B C X1 X229 X35 X37 X10 X191 X267 (a, b, c) = (5, 6, 7) | AB = 1

X267 (ISOGONAL CONJUGATE OF X191) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/[b^{3} + c^{3} - a^{3} + (b + c - a)(bc + ca + ab)] : :\)
Search Value (6, 9, 13): \(-0.498300277725\)
▸ Incident Central Lines3 lines

{1, 229}, {10, 191}, {35, 37}

▸ Functional Relations6 relations