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Understanding Map Projections

Understanding Map Projections

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HOTINE OBLIQUE MERCATOR<br />

LINEAR GRATICULES<br />

Two meridians 180 degrees apart.<br />

PROPERTIES<br />

Shape<br />

Conformal. Local shapes are true.<br />

Area<br />

Distortion increases with distance from the central<br />

line.<br />

Direction<br />

Local angles are correct.<br />

The State Plane Coordinate System uses Hotine Azimuth Natural<br />

Origin for the Alaskan panhandle.<br />

DESCRIPTION<br />

Also known as Oblique Cylindrical Orthomorphic.<br />

This is an oblique rotation of the Mercator<br />

projection. Developed for conformal mapping of<br />

areas that are obliquely oriented and do not follow a<br />

north–south or east–west trend.<br />

PROJECTION METHOD<br />

Cylindrical. Oblique aspect of the Mercator<br />

projection. Oblique Mercator has several different<br />

types. You can define the tilt of the projection by<br />

either specifying two points or a point and an angle<br />

measuring east of north (the azimuth).<br />

Distance<br />

True along the chosen central line.<br />

LIMITATIONS<br />

Use should be limited to regions near the central<br />

line. When using an ellipsoid, constant scale along<br />

the central line and perfect conformality cannot be<br />

maintained simultaneously.<br />

USES AND APPLICATIONS<br />

Ideal for conformal mapping of regions that have an<br />

oblique orientation.<br />

Used for large-scale mapping in the Alaskan<br />

panhandle. Switzerland uses a different<br />

implementation of Oblique Mercator by Rosenmund,<br />

while Madagascar uses the Laborde version. These<br />

implementations aren’t compatible.<br />

By default, the coordinate origin of the projected<br />

coordinates is located where the central line of the<br />

projection crosses the equator. As an example, if you<br />

use an Oblique Mercator (natural origin) for West<br />

Virginia, while the center of the projection is -80.75,<br />

38.5, the natural origin is approximately -112.8253,<br />

0.0. You can move the projection origin to the center<br />

of your data by using the Two-Point Center or<br />

Azimuth Center cases.<br />

LINE OF TANGENCY<br />

A single oblique great-circle line or secancy along<br />

two oblique small circles parallel to and equidistant<br />

from the central great circle.<br />

Supported map projections• 63

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