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They used a Hadley's Quadrant, which was used to measure the angular distance between two points. They also used a Mariner's compass, a pocket compass, and a set of planespheres and artificial horizons.
The compass is used to measure angles. The straightedge is used to draw a straight line. The two items together, are used to measure and draw angles and lines in geometric drawings.
The measurement tool called a compass (a divider caliper, two rods on a hinge) is used for drafting and for measurement of arc distances. It may be considered to be a tool of mathematics, particularly geometry.The navigational tool called a compass (magnetic compass) determines direction based on the heading compared to the direction of the magnetic north pole and is not likely to be considered to be a tool of mathematics.
the straightedge method
Compass