Finding latitude at sea was relatively straightforward. Finding longitude (location east–west) was not. The instrument shown in Image 3, the sextant, would provide the most reliable and widespread solution.
The challenge for instrument-makers was dividing the sextant’s scale precisely enough that it could take measurements the backstaff and octant couldn’t: of the angle between the moon and certain prominent stars, down to a fraction of a degree.
These measurements provided a roundabout solution to a tantalisingly simple problem. To determine longitude, navigators needed both local time and time at a reference point (chosen to be Greenwich). Clocks proved inaccurate on rough seas, so astronomers offered a celestial solution—navigators could calculate Greenwich time by comparing measured ‘lunar distances’ with astronomical data tables.
The stakes were high: In 1714, following several losses to the British fleet, Parliament had offered a massive £20,000 prize for a solution to finding longitude at sea. For the ‘lunar distance’ method to prove practicable, it required affordable, accurate sextants, and lots of them.