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1. The geographical graticule and topographic grid
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Geographical coordinates seem to be the most
ancient quantitative method of defining locations. The earliest
list of geographical names complete with quantitative locators
is Ptolemy's
"Geographia"
of the 2nd century AD, which records some 8000 places by their
names and their geographical coordinates.
The net of lines of latitude on the globe,
also called parallels
(because their planes are parallel to that of the equator), and
of lines of longitude or meridians
(which are half "great circles" extending from pole
to pole), is called the geographical graticule.
Latitude of a place on the globe,
is measured north or south from the equator as angles, in degrees,
minutes and seconds. Longitude is similarly measured as an angle
east or west from the prime meridian of Greenwich, England.
These measurements thus constitute a precise
quantitative system.
It is sometimes convenient
to deal with only a limited portion of the Earth's surface and
regard this not as curved but as a plane. This is what every
conventional topographic map enables one to do, and the method
of transferring places from the spherical surface of the Earth
to the plane map sheet is called a cartographic
projection.
Since the representations
of the lines of the graticule in a plane map are curved (except
in the so-called cylindrical normal projections), and therefore
inconvenient for measuring coordinate values from them, it is
common practice to superimpose a plane rectangular net of squares
on the map, of the well-known type called Cartesian
coordinates, and this is called a topographic
or local grid, or, if it covers a national
territory, a national grid, the coordinates then
being called national coordinates. Such a grid is always based
on a particular cartographic projection and it has a point of
origin from which the coordinate values are measured.
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