The boundary of a convex set is always a convex curve. The intersection of all convex sets containing a given subset A of Euclidean space is called the convex hull of A. It is the smallest convex set containing A.
Rector (ecclesiastical) A rector is, in an ecclesiastical sense, a cleric who functions as an administrative leader in some Christian denominations, and in Islam. In contrast, a vicar is also a cleric but functions as an assistant and representative of an administrative leader.
A parish is a church territorial unit constituting a division within a diocese. A parish is under the pastoral care and clerical jurisdiction of a parish priest, who might be assisted by one or more curates, and who operates from a parish church. Historically, a parish often covered the same geographical area as a manor (its association with the parish church remaining paramount).