X3327

INCIRCLE TRANSFORM T(X2290)

< 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) { 12, 128 }: Central Line L(12, 128) { 55, 930 }: Central Line L(55, 930) { 56, 1141 }: Central Line L(56, 1141) { 496, 1263 }: Central Line L(496, 1263) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_128 = -OF-ORTHIC-TRIANGLE (0.3310, 0.3690) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_930 = ANTICOMPLEMENT OF X(137) (0.0497, 0.3422) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_1141 = GIBERT POINT (0.9503, -0.1380) X_496 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(495) (0.5843, 0.2201) X_1263 = ISOGONAL CONJUGATE OF X(1157) (1.0064, 0.0088) X_3327 = INCIRCLE TRANSFORM T(X(2290)) (0.7773, 0.1235) A B C X12 X128 X55 X930 X56 X1141 X496 X1263 X3327 (a, b, c) = (5, 6, 7) | AB = 1

X3327 (INCIRCLE TRANSFORM T(X2290)) 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 \(f(a,b,c) = a(bw - cv)^{2}/(b + c - a) : b(cu - aw)^{2}/(c + a - b) : c(av - bu)^{2}/(a + b - c)\), where \(u : v : w\) = X2290
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.013444546590\)

X3327 lies on the incircle.

▸ Incident Central Lines4 lines

{12, 128}, {55, 930}, {56, 1141}, {496, 1263}