A generalization of Pappus chain theorem

TL;DR

This paper extends the classical Pappus chain theorem and introduces a new analogous theorem, broadening the understanding of geometric chain configurations.

Contribution

It provides a generalized version of the Pappus chain theorem and formulates an analogous theorem, expanding the theoretical framework.

Findings

Generalized Pappus chain theorem established

An analogous theorem to Pappus chain theorem derived

New geometric relationships identified

Abstract

We generalize Pappus chain theorem and give an analogue to this theorem.