In mathematics, the term "mutually tangent curves" refers to two or more curves that share a point of tangency. There are a variety of synonyms for this term, including "common tangent curves," "intersecting tangent curves," and "cotangent curves." Another term that is sometimes used is "tangentially intersecting curves." Regardless of the term used, the concept refers to curves that share a single point of tangency, indicating that they touch or intersect at this point. This type of curve is commonly found in calculus, where it is used to describe and analyze the relationship between different sets of curves.