X2908

ORTHIC-ISOGONAL CONJUGATE OF X31

X2908 is the orthic-isogonal conjugate of X31.
< 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) { 37, 48 }: Central Line L(37, 48) { 604, 1015 }: Central Line L(604, 1015) { 41, 2092 }: Central Line L(41, 2092) { 1880, 1973 }: Central Line L(1880, 1973) { 2174, 2276 }: Central Line L(2174, 2276) 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_31 = 2nd POWER POINT (0.6228, 0.3008) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_1015 = EXSIMILICENTER OF MOSES CIRCLE AND INCIRCLE (0.7982, 0.1348) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_2092 = DANNEELS-APOLLONIUS PERSPECTOR (0.5833, 0.2396) X_1880 = ZOSMA TRANSFORM OF X(573) (0.6390, 0.4068) X_1973 = TRILINEAR PRODUCT OF PU(39) (0.6378, 0.4717) X_2174 = -ISOCONJUGATE OF X(79) (0.5728, 0.2013) X_2276 = -ISOCONJUGATE OF X(985) (0.5757, 0.2314) X_2908 = ORTHIC-ISOGONAL CONJUGATE OF X(31) (0.5965, 0.4487) A B C X4 X31 X37 X48 X604 X1015 X41 X2092 X1880 X1973 X2174 X2276 X2908 (a, b, c) = (5, 6, 7) | AB = 1

X2908 (ORTHIC-ISOGONAL CONJUGATE OF X31) 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): \(-0.283907413712\)
▸ Incident Central Lines5 lines

{37, 48}, {41, 2092}, {604, 1015}, {1880, 1973}, {2174, 2276}

▸ Functional Relations1 relation