X1696

POINT ELECTRA

X1696 is the trilinear product X6*X1706
< 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) { 19, 25 }: Central Line L(19, 25) { 9, 56 }: Central Line L(9, 56) { 6, 1201 }: Central Line L(6, 1201) { 220, 1400 }: Central Line L(220, 1400) { 346, 1376 }: Central Line L(346, 1376) { 999, 1743 }: Central Line L(999, 1743) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_19 = CLAWSON POINT (0.6246, 0.4244) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_9 = MITTENPUNKT (0.5110, 0.1615) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1201 = 3rd SARAGOSSA POINT OF X(56) (0.6184, 0.2793) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_1400 = -BETH CONJUGATE OF X(37) (0.6246, 0.3268) X_346 = ISOTOMIC CONJUGATE OF X(279) (0.3948, 0.0827) X_1376 = EXSIMILICENTER(CIRCUMCIRCLE, SPIEKER CIRCLE) (0.5265, 0.2074) X_999 = MIDPOINT OF X(1) AND X(57) (0.5926, 0.2722) X_1743 = MIMOSA TRANSFORM OF X(222) (0.6798, 0.3620) X_1696 = POINT ELECTRA (0.5662, 0.2450) A B C X19 X25 X9 X56 X6 X1201 X220 X1400 X346 X1376 X999 X1743 X1696 (a, b, c) = (5, 6, 7) | AB = 1

X1696 (POINT ELECTRA) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = b + c - a \cos A + r \sin A\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.581429001607\)
▸ Incident Central Lines6 lines

{6, 1201}, {9, 56}, {19, 25}, {220, 1400}, {346, 1376}, {999, 1743}