Q. I perceive that degrees are to great purpose in Navigation. What is a degree?

A Degree of Longitude is the 360 part of the Equinoctial.
A Degree of Latitude is the 360 part of the Meridian.
A Degree of Azumuth is the 360 part of the Compass, or Horizon.
A Degree of Altitude is the 90 part of the Vertical Circle, or the 90 part of the distance between the Zenith and the Horizon.

What is the use of Degrees ?

The use of a Degree is to measure between place and place, to find Altitudes, Latitudes, and Lontitudes, to describe Countries, to distinguish Courses, to find the variation of the Compass, to measure time, to find the places and motions of all Celestial Bodies, as the Sun, Moon, Planets, and Stars: To conclude, by Degrees have been performed all Mathematical observations whatsoever, whose use is infinite.