X3812

X950com(4th EULER TRIANGLE)

X3812 = centroid of ABCX65
< 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) { 2, 65 }: Central Line L(2, 65) { 10, 141 }: Central Line L(10, 141) { 8, 354 }: Central Line L(8, 354) { 46, 405 }: Central Line L(46, 405) { 1, 474 }: Central Line L(1, 474) { 140, 517 }: Central Line L(140, 517) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_8 = NAGEL POINT (0.4694, 0.1333) X_354 = WEILL POINT (0.5823, 0.2533) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_405 = EULER LINE INTERCEPT OF LINE X(1)X(6) (0.5325, 0.1870) X_1 = INCENTER (0.5714, 0.2333) X_474 = EULER LINE INTERCEPT OF LINE X(10)X(56) (0.5441, 0.2176) X_140 = MIDPOINT OF X(3) AND X(5) (0.5281, 0.1755) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_3812 = com(4th EULER TRIANGLE) (0.5541, 0.2233) A B C X2 X65 X10 X141 X8 X354 X46 X405 X1 X474 X140 X517 X3812 (a, b, c) = (5, 6, 7) | AB = 1

X3812 (X950com(4th EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a(b^{3} + c^{3} - a^{2}b - a^{2}c - 3b^{2}c - 3bc^{2} - 2abc) : :\)
Search Value (6, 9, 13): \(2.104458172743\)
▸ Linear Combinations1 combination
▸ Incident Central Lines44 lines

{1, 474}, {2, 65}, {6, 1722}, {7, 2551}, {8, 354}, {9, 3339}, {10, 141}, {21, 1155}, {29, 1888}, {37, 986}, {40, 1001}, {44, 1046}, {46, 405}, {56, 3306}, {57, 958}, {72, 1698}, {75, 3714}, {140, 517}, {171, 1104}, {226, 1329}, {241, 1254}, {377, 1837}, {392, 3624}, {404, 2646}, {442, 1737}, {452, 3474}, {475, 1905}, {595, 3246}, {758, 3634}, {899, 2650}, {908, 3649}, {938, 2550}, {956, 3338}, {1210, 2886}, {1738, 1834}, {1836, 2478}, {1858, 2476}, {1875, 1940}, {2295, 3290}, {2496, 3309}, {2802, 3636}, {3057, 3616}, {3452, 3671}, {3555, 3679}

▸ Functional Relations4 relations