Definition:Longitude/Terrestrial
Definition
Let $J$ be a point on Earth's surface that is not one of the two poles $N$ and $S$.
Let $\bigcirc NJS$ be a meridian passing through $J$, whose endpoints are by definition $N$ and $S$.
The (terrestrial) longitude of $J$, and of the meridian $\bigcirc NJS$ itself, is the (spherical) angle that $\bigcirc NJS$ makes with the prime meridian $\bigcirc NKS$.
If $\bigcirc NJS$ is on the eastern hemisphere, the longitude is defined as longitude $n \degrees$ east, where $n \degrees$ denotes $n$ degrees (of angle), written $n \degrees \, \mathrm E$.
If $\bigcirc NJS$ is on the western hemisphere, the longitude is defined as longitude $n \degrees$ west, written $n \degrees \, \mathrm W$.
If $\bigcirc NJS$ is the prime meridian itself, the longitude is defined as $0 \degrees$ longitude.
If $\bigcirc NJS$ is the other half of the great circle that contains the prime meridian, the longitude is defined as $180 \degrees$ longitude.
Also known as
Terrestrial longitude is usually known in common parlance as just longitude.
However, this term also encompasses other measurements of longitude, for example celestial longitude and galactic longitude.
Hence on $\mathsf{Pr} \infty \mathsf{fWiki}$ the full term terrestrial longitude is preferred, so as to forestall ambiguity, unless the context is clear.
Sometimes you see the (terrestrial) longitude reported as east (or west) from (or of) Greenwich.
Also see
- Results about terrestrial longitude can be found here.
Linguistic Note on Longitude
When the word longitude is spoken, an extraneous d is often added: long-di-tude.
This is technically incorrect.
Sources
- 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text I$. Coordinates: $2$. Coordinates
- 1976: W.M. Smart: Textbook on Spherical Astronomy (6th ed.) ... (previous) ... (next): Chapter $\text I$. Spherical Trigonometry: $4$. Terrestrial latitude and longitude.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): longitude: 1.
- 2008: Ian Stewart: Taming the Infinite ... (previous) ... (next): Chapter $6$: Curves and Coordinates: Coordinate geometry today
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): longitude