X3944

X3550com(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, 4 }: Incenter–Orthocenter Line { 2, 846 }: Central Line L(2, 846) { 43, 908 }: Central Line L(43, 908) { 5, 986 }: Central Line L(5, 986) { 11, 982 }: Central Line L(11, 982) { 79, 987 }: Central Line L(79, 987) 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_4 = ORTHOCENTER (0.6122, 0.3958) X_2 = CENTROID (0.5374, 0.2000) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_908 = POINT ACUBENS (-0.8367, -1.7996) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_986 = INTERSECTION OF LINES X(1)X(3) AND X(8)X(38) (0.5588, 0.2101) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_982 = INTERSECTION OF LINES X(1)X(3) AND X(2)X(38) (0.5508, 0.1955) X_79 = ISOGONAL CONJUGATE OF X(35) (0.5976, 0.3019) X_987 = ISOGONAL CONJUGATE OF X(986) (0.5829, 0.2572) X_3944 = com(INTOUCH TRIANGLE) (0.5603, 0.1888) A B C X1 X4 X2 X846 X43 X908 X5 X986 X11 X982 X79 X987 X3944 (a, b, c) = (5, 6, 7) | AB = 1

X3944 (X3550com(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 \(f(a,b,c) = b^{3} + c^{3} - b^{2}c - bc^{2} + abc\)
Search Value (6, 9, 13): \(2.359269047063\)
▸ Incident Central Lines22 lines

{1, 4}, {2, 846}, {5, 986}, {11, 982}, {43, 908}, {79, 987}, {115, 3735}, {171, 1836}, {238, 3772}, {312, 2887}, {329, 1757}, {516, 3550}, {726, 3705}, {752, 3769}, {984, 2886}, {1044, 1076}, {1738, 3452}, {1756, 1764}, {2292, 2476}, {3496, 3767}, {3551, 3662}, {3685, 3771}