X3795

X3097com[INVERSE(nT(bc, b²))]

< 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) { 43, 55 }: Central Line L(43, 55) { 2, 740 }: Central Line L(2, 740) { 100, 985 }: Central Line L(100, 985) { 291, 1002 }: Central Line L(291, 1002) { 1, 1575 }: Central Line L(1, 1575) { 6, 2108 }: Central Line L(6, 2108) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_2 = CENTROID (0.5374, 0.2000) X_740 = EVEN (- 1, 1) INFINITY POINT (0.9745, 0.5915) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_985 = ISOGONAL CONJUGATE OF X(984) (0.5961, 0.2693) X_291 = 2nd SHARYGIN POINT (1.0249, 0.0364) X_1002 = ISOGONAL CONJUGATE OF X(1001) (0.5967, 0.2704) X_1 = INCENTER (0.5714, 0.2333) X_1575 = EXSIMILICENTER OF SPIEKER AND (1/2)-MOSES CIRCLES (2.5675, 1.8684) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_2108 = POINT KEPLER I (-0.3883, 0.6500) X_3795 = com[INVERSE(nT(bc, b2))] (0.6087, 0.2638) A B C X43 X55 X2 X740 X100 X985 X291 X1002 X1 X1575 X6 X2108 X3795 (a, b, c) = (5, 6, 7) | AB = 1

X3795 (X3097com[INVERSE(nT(bc, b²))]) 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 \(f(a,b,c) = a(2a^{2} + ab + ac - bc)(b^{2} + c^{2} + bc)\)
Search Value (6, 9, 13): \(0.792893184634\)
▸ Incident Central Lines9 lines

{1, 1575}, {2, 740}, {6, 2108}, {43, 55}, {100, 985}, {291, 1002}, {518, 3097}, {678, 3240}, {984, 2276}