great circle route, the shortest course between two points on the surface of a sphere. It lies in a plane that intersects the sphere’s centre and was known by mathematicians before the time of Columbus. Until the 19th century ships generally sailed along rhumb lines, which made use of prevailing winds and fixed compass headings. The development of steamships in the 19th century allowed complete independence from the winds, removing the major uncertainty for sailors trying to follow a geometrically prescribed route.

Great circle routes, which require constantly changing headings, are most useful beyond the equatorial regions and for distances greater than several hundred miles. Long-distance air traffic uses great circle routes routinely, saving time and fuel. Navigational radio signals also follow great circle paths.

Great circle routes are usually plotted on charts based on the gnomonic projection, on which great circles appear as straight lines.

Key People:
Gerardus Mercator

Mercator projection, type of map projection introduced in 1569 by Gerardus Mercator. It is often described as a cylindrical projection, but it must be derived mathematically. The meridians are equally spaced parallel vertical lines, and the parallels of latitude are parallel horizontal straight lines that are spaced farther and farther apart as their distance from the Equator increases.

The Mercator projection is widely used for navigation charts, because any straight line on a Mercator projection map is a line of constant true bearing that enables a navigator to plot a straight-line course. It is less practical for world maps, however, because the scale is distorted; areas farther away from the Equator appear disproportionately large. On a Mercator projection, for example, the landmass of Greenland appears to be greater than that of the continent of South America; in actual area, Greenland is smaller than the Arabian Peninsula.

The Editors of Encyclopaedia BritannicaThis article was most recently revised and updated by J.E. Luebering.