X2902

ORTHIC-ISOGONAL CONJUGATE OF X15

X2902 is the orthic-isogonal conjugate of X15.
< 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) { 5, 13 }: Central Line L(5, 13) { 16, 184 }: Central Line L(16, 184) { 15, 1154 }: Central Line L(15, 1154) { 52, 2913 }: Central Line L(52, 2913) { 571, 2903 }: Central Line L(571, 2903) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_15 = 1st ISODYNAMIC POINT (0.5519, 0.1878) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_13 = 1st ISOGONIC CENTER (FERMAT POINT, TORRICELLI POINT) (0.5879, 0.2819) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_1154 = ISOGONAL CONJUGATE OF X(1141) (0.8932, 0.6667) X_52 = ORTHOCENTER OF ORTHIC TRIANGLE (0.7155, 0.4580) X_2913 = ORTHIC-ISOGONAL CONJUGATE OF X(62) (0.5697, 0.4474) X_571 = ORTHOHARMONIC OF X(52) (0.7141, 0.4556) X_2903 = ORTHIC-ISOGONAL CONJUGATE OF X(16) (0.3913, 0.4165) X_2902 = ORTHIC-ISOGONAL CONJUGATE OF X(15) (0.7604, 0.4612) A B C X4 X15 X5 X13 X16 X184 X1154 X52 X2913 X571 X2903 X2902 (a, b, c) = (5, 6, 7) | AB = 1

X2902 (ORTHIC-ISOGONAL CONJUGATE OF X15) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-9.111459428435\)
▸ Incident Central Lines5 lines

{5, 13}, {15, 1154}, {16, 184}, {52, 2913}, {571, 2903}

▸ Functional Relations1 relation