catenarian

comparative more catenarian · superlative most catenarian

1. catenary; like a chain

   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.

   1821, Robert Stevenson, “Description of Bridges of Suspension”, in The Edinburgh philosophical journal, volume 5, page 249

2. geometryShaped like a catenary; following the curve made by a chain or rope when suspended from both ends.

   a catenarian curve/arch

   1 more example

   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.

   1957, Bernard E. Jones, Freemason's Book of the Royal Arch, page 105

3. ring theoryHaving the property that every ascending chain of prime ideals eventually stabilizes, meaning that there is a finite length for the chains of prime ideals.

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

   2013, S.T. Chapman, Sarah Glaz, Non-Noetherian Commutative Ring Theory, page 162