Final answer:
The beak or head of Cygnus doesn't have a specific numerical designation like individual stars in Flamsteed's system; it corresponds to the vicinity of the star Albireo, also known as Beta Cygni, which is often portrayed as the head or beak of the swan in star maps.
Step-by-step explanation:
The beak or head of Cygnus is referred to in various ways depending on the context. In terms of Flamsteed's system of assigning numbers to stars, introduced by English Astronomer Royal John Flamsteed in 1725, we can speak about individual stars like 61 Cygni, which is the 61st star in the constellation of Cygnus, the swan. However, the beak of the swan constellation doesn't correspond to a single star but generally to a region within the constellation located around the star known as Albireo or Beta Cygni, which is often considered to represent the swan's head or beak in star maps.