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The three circular triangles A^'B^'C^', AB^'C^', A^'BC^', and A^'B^'C obtained by extending the arcs of a circular triangle ABC into complete circles.

A module over a ring that is contained in and has the same addition as another module over the same ring.

A subring of a ring R is a subgroup of R that is closed under multiplication.

An associative ring, also called a Hecke ring, which has a technical definition in terms of commensurable subgroups.

A more common way to describe a Euclidean ring.

An extension ring R subset= S such that every element of S is integral over R.

A double rhomboid linkage which gives rectilinear motion from circular without an inversion.

A map projection in which the parallels are represented by concentric circular arcs and the meridians by concurrent curves.

A linkage which converts circular to linear motion using a hinged square.

The ring of integers of a number field K, denoted O_K, is the set of algebraic integers in K, which is a ring of dimension d over Z, where d is the extension degree of K over ...