X3986

X3247com[INVERSE(n(INCENTRAL TRIANGLE))]

X3986 = complement of X25590
< 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) { 10, 37 }: Central Line L(10, 37) { 1, 391 }: Central Line L(1, 391) { 6, 551 }: Central Line L(6, 551) { 9, 1125 }: Central Line L(9, 1125) { 519, 966 }: Central Line L(519, 966) { 346, 1698 }: Central Line L(346, 1698) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_1 = INCENTER (0.5714, 0.2333) X_391 = INTERSECTION OF LINES X(2,6) AND X(8,9) (0.4857, 0.1443) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_551 = MIDPOINT OF X(1) AND X(2) (0.5544, 0.2166) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1125 = COMPLEMENT OF X(10) (0.5459, 0.2083) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_966 = INTERSECTION OF LINES X(2)X(6) AND X(4)X(9) (0.5191, 0.1803) X_346 = ISOTOMIC CONJUGATE OF X(279) (0.3948, 0.0827) X_1698 = INSIMILICENTER(BEVAN CIRCLE, NINE-POINTCIRCLE) (0.5306, 0.1933) X_3986 = com[INVERSE(n(INCENTRAL TRIANGLE))] (0.5411, 0.2018) A B C X10 X37 X1 X391 X6 X551 X9 X1125 X519 X966 X346 X1698 X3986 (a, b, c) = (5, 6, 7) | AB = 1

X3986 (X3247com[INVERSE(n(INCENTRAL 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 \(f(a,b,c) = (b + c)(5a + b + c)\)
Search Value (6, 9, 13): \(2.534829689837\)
▸ Incident Central Lines14 lines

{1, 391}, {2, 2415}, {6, 551}, {9, 1125}, {10, 37}, {346, 1698}, {405, 1696}, {519, 966}, {1100, 3707}, {1400, 3294}, {1449, 3636}, {1743, 3616}, {2345, 3634}, {3244, 3686}

▸ Functional Relations1 relation

  • X3986 = complement of X25590