X3773

X141com[INVERSE(nT(bc, c²))]

< 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) { 8, 238 }: Central Line L(8, 238) { 141, 726 }: Central Line L(141, 726) { 519, 597 }: Central Line L(519, 597) { 313, 1089 }: Central Line L(313, 1089) { 306, 1215 }: Central Line L(306, 1215) 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_8 = NAGEL POINT (0.4694, 0.1333) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_726 = EVEN (- 2, -1) INFINITY POINT (1.0187, 0.5358) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_597 = MIDPOINT OF X(2) AND X(6) (0.5687, 0.2336) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_1089 = TRILINEAR SQUARE OF X(10) (0.4606, 0.1381) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_1215 = ISOGONAL CONJUGATE OF X(1178) (0.5340, 0.2011) X_3773 = com[INVERSE(nT(bc, c2))] (0.4851, 0.1516) A B C X10 X37 X8 X238 X141 X726 X519 X597 X313 X1089 X306 X1215 X3773 (a, b, c) = (5, 6, 7) | AB = 1

X3773 (X141com[INVERSE(nT(bc, c²))]) 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 \(f(a,b,c) = (b + c)(b^{2} + c^{2} + bc)\)
Search Value (6, 9, 13): \(3.976559121607\)
▸ Incident Central Lines11 lines

{8, 238}, {10, 37}, {141, 726}, {306, 1215}, {313, 1089}, {319, 1757}, {321, 2887}, {519, 597}, {752, 3416}, {984, 3661}, {3703, 3741}