X3966

X612com(EXTOUCH 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) { 8, 210 }: Central Line L(8, 210) { 69, 354 }: Central Line L(69, 354) { 141, 614 }: Central Line L(141, 614) { 1, 1211 }: Central Line L(1, 1211) { 306, 1001 }: Central Line L(306, 1001) { 2, 1386 }: Central Line L(2, 1386) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_354 = WEILL POINT (0.5823, 0.2533) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_614 = INTERSECTION OF LINES X(1)X(2) AND X(11)X(33) (0.6310, 0.2916) X_1 = INCENTER (0.5714, 0.2333) X_1211 = ISOGONAL CONJUGATE OF X(1169) (0.5137, 0.1744) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_1001 = MIDPOINT OF X(1) AND X(9) (0.5412, 0.1974) X_2 = CENTROID (0.5374, 0.2000) X_1386 = MIDPOINT OF INCENTER AND SYMMEDIAN POINT (0.5857, 0.2503) X_3966 = com(EXTOUCH TRIANGLE) (0.4784, 0.1385) A B C X8 X210 X69 X354 X141 X614 X1 X1211 X306 X1001 X2 X1386 X3966 (a, b, c) = (5, 6, 7) | AB = 1

X3966 (X612com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \((a^{2}+(b+c) a+b^{2}+c^{2}) \cdot (-a+b+c) : :\)
Search Value (6, 9, 13): \(4.317156747340\)
▸ Incident Central Lines17 lines

{1, 1211}, {2, 1386}, {8, 210}, {9, 3703}, {38, 3764}, {55, 3687}, {69, 354}, {75, 1836}, {141, 614}, {219, 3686}, {306, 1001}, {333, 2194}, {345, 3683}, {391, 2348}, {958, 1036}, {3434, 3696}, {3715, 3717}