In this paper, the notion of the catenary curve in the sphere and in the hyperbolic plane is
introduced. In both spaces, a catenary is defined as the shape of a hanging chain when its …

Let $\s^ 1$ be a circle in Euclidean plane. We consider the problem of finding the shape of a
planar curve which is an extremal of the potential energy that measures the distance to $\s …

In this paper, the notion of the catenary curve in the sphere and in the hyperbolic plane is
introduced. In both spaces, a catenary is defined as the shape of a hanging chain when its …

Abstract We study positive $ C^ 1$ functions $ z= f (x), x=(x_1,\cdots, x_n) $ defined on the $
n $-dimensional Euclidean space $\mathbb R^{n} $. For $ x=(x_1,\cdots, x_n) $ with …

Neste trabalho, foi desenvolvida a modelagem e proposta uma nova abordagem que
descreve os comportamentos das tensões aplicadas a cabos suspensos por meio de dois …

For every interval [a, b], we denote by (xA,? A) and (xL,? L) the geometric centroid of the
area under a catenary curve y= k cosh ((xc) k) defined on this interval and the centroid of the …