X3979

X3750com[INVERSE(n(INTOUCH TRIANGLE))]

< 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) incircle: Incircle of △ABC { 1, 2 }: Nagel Line { 518, 846 }: Central Line L(518, 846) { 354, 1054 }: Central Line L(354, 1054) { 1051, 1386 }: Central Line L(1051, 1386) { 1621, 1757 }: Central Line L(1621, 1757) { 81, 3722 }: Central Line L(81, 3722) 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_2 = CENTROID (0.5374, 0.2000) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_354 = WEILL POINT (0.5823, 0.2533) X_1054 = 6th SHARYGIN POINT (1.4286, -0.2333) X_1051 = POINT ALGORAB (0.5863, 0.2501) X_1386 = MIDPOINT OF INCENTER AND SYMMEDIAN POINT (0.5857, 0.2503) X_1621 = TCC-PERSPECTOR OF X(81) (0.5431, 0.1961) X_1757 = MIMOSA TRANSFORM OF X(295) (2.6667, 2.7217) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_3722 = com(INCENTRAL TRIANGLE) (0.4643, 0.2916) X_3979 = com[INVERSE(n(INTOUCH TRIANGLE))] (0.5883, 0.2498) A B C X1 X2 X518 X846 X354 X1054 X1051 X1386 X1621 X1757 X81 X3722 X3979 (a, b, c) = (5, 6, 7) | AB = 1

X3979 (X3750com[INVERSE(n(INTOUCH TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(a^{2} + b^{2} + c^{2} - 3ab - 3ac - bc)\)
Search Value (6, 9, 13): \(1.235464683315\)
▸ Incident Central Lines8 lines

{1, 2}, {81, 3722}, {238, 3748}, {354, 1054}, {518, 846}, {1046, 3746}, {1051, 1386}, {1621, 1757}