id: 06103197
dt: j
an: 2012f.00815
au: Sánchez-Reyes, Javier
ti: The hyperbolic sine cardinal and the catenary.
so: Coll. Math. J. 43, No. 4, 285-290 (2012).
py: 2012
pu: Mathematical Association of America, Washington, DC
la: EN
cc: I25
ut: sine cardinal; hypberbolic sine cardinal; caternary segments
ci: 
li: doi:10.4169/college.math.j.43.4.285
ab: Summary: The hyperbolic function $\sinh(x)/x$ receives scant attention in
    the literature. We show that it admits a clear geometric interpretation
    as the ratio between length and chord of a symmetric catenary segment.
    The inverse, together with the use of dimensionless parameters,
    furnishes a compact, explicit construction of a general catenary
    segment of given length hanging from supports of different heights.
rv: