A replica nautical sextant A quadrant is an early navigational instrument used to measure the altitude of astronomical bodies or the angle between two objects. These measurements could be used to determine one’s latitude or position on a chart. A quadrant could be as simple as a quarter-circle shaped device (hence the name) with an arc graduated from 0° to 90°. Movable vanes, sighting devices called alidades, and plumbobs were incorporated to make operating the quadrant more convenient.
By the eighteenth century, many inventors were working on methods for determining longitude at sea. To do so, it was necessary to measure the angles of celestial objects while aboard a rocking ship with greater accuracy than could be achieved using a quadrant. The octant improved upon the design of the quadrant by adding a cleverly positioned pair of mirrors, a set of shades for observing bright objects, and a telescope. The mirrors a) enabled the observer to view both the horizon and the object to be sighted at once, reducing observational errors, and b) allowed the octant’s arc to shrink to 1/8 of a circle while retaining the ability to measure angles up to 90°. These upgrades created a measuring device that was smaller, more accurate, and could be used day or night.
Beginning in 1767, tables of the angle between the Moon and other celestial bodies were published. Longitude could also be calculated using this data, but some lunar distances were greater than 90°. To make navigation using the lunar method more practicable the sextant was invented. This was fundamentally similar to the octant, but covered 1/6 of a circle, or 60°, allowing for measurements up to 120°.
NOVA Online on how a sextant works