X3444

X37-VERTEX CONJUGATE OF X37

X3444 = isogonal conjugate of X2895
< 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) { 35, 37 }: Central Line L(35, 37) { 2, 1029 }: Central Line L(2, 1029) { 42, 2174 }: Central Line L(42, 2174) { 759, 1989 }: Central Line L(759, 1989) { 1399, 1400 }: Central Line L(1399, 1400) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_3124 = DANNEELS PERSPECTOR FOR X(76) (0.7888, 0.1151) 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_2 = CENTROID (0.5374, 0.2000) X_1029 = CYCLOCEVIAN CONJUGATE OF X(1) (0.6026, 0.3320) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_2174 = -ISOCONJUGATE OF X(79) (0.5728, 0.2013) X_759 = EVEN (1, 3) CIRCUMCIRCLE POINT (0.9498, -0.1389) X_1989 = ISOGONAL CONJUGATE OF X(323) (0.9916, -0.2095) X_1399 = -BETH CONJUGATE OF X(35) (0.6178, 0.2762) X_1400 = -BETH CONJUGATE OF X(37) (0.6246, 0.3268) X_3444 = -VERTEX CONJUGATE OF X(37) (0.6337, 0.3950) A B C X667 X3124 X35 X37 X2 X1029 X42 X2174 X759 X1989 X1399 X1400 X3444 (a, b, c) = (5, 6, 7) | AB = 1

X3444 (X37-VERTEX CONJUGATE OF X37) 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 \(f(a,b,c) = a/[a^{2}vwyz - ux(bw + cv)(bz + cy)]\), where \(u : v : w\) = X37 and \(x : y : z\) = X37
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.212796413234\)
▸ Alternate Coordinates1 form

  • Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = a^{2}/[a^{3} + a^{2}(b + c) - a(b^{2} + bc + c^{2}) - (b + c)(b^{2} + c^{2})] (E\). Danneels)

▸ Incident Central Lines5 lines

{2, 1029}, {35, 37}, {42, 2174}, {759, 1989}, {1399, 1400}

▸ Functional Relations3 relations