Catenarian

At each joint of the three tiers of the catenarian chains respectively, one of the saddle pieces of cast-iron, formerly alluded to, are introduced.

The curve so formed is a catenarian curve, and, when inverted, delineates the curve of a type of arch better able to resist forces of destruction than the earlier semicircular arch. Investigators who followed Galilei and studied the catenarian arch mathematically were able to show that a simple catenarian outline was formed by the chan suspeneded as already described, the length of the chain depending upon the required span and rise of the arch.

a catenarian curve/arch

Each universally catenarian domain is catenarian and, hence, LFD.