The mercator projection has been extensively used for nautical charts,
for which it presents important mechanical advantages, in that adjacent
charts can be joined on all their edges while still oriented with the
meridian; all charts are similar; the border may be conveniently
subdivided, giving a longitude scale applicable to any part of the
chart, but a latitude scale that may be used in the same latitude only;
courses are laid down as straight lines and can be transferred with
parallel rulers from one part of the chart to another without error. On
a mercator chart an island in latitude 60° would appear four times as
large as an island of the same actual area at the equator, but this
distortion of areas, while it gives erroneous impressions on charts of
great extent in latitude, does not seriously affect the use of the chart
for nautical purposes. Areas may also be correctly measured on a
mercator map by taking each projection quadrilateral separately,
subdividing it if necessary, and using the published tables of areas of
quadrilaterals in different latitudes. Although distance scales vary
with the latitude, distances can be taken from this chart with fair
correctness by the use of the latitude border scale for the middle
latitude, subdividing the total distance if there is much range of
latitude. The inability to take off the great circle or shortest course
directly from the mercator chart is from a navigational point of view a
defect, but the most convenient solution for this appears to be the
supplementary use of a gnomonic chart as will be described. The fact
that lines of sight are not straight lines on this projection is another
defect, as by the plotting of bearings and angles on approaching the
land the positions of vessels are located on the chart; fortunately,
however, the error due to this cause usually falls within the other
uncertainties involved in locating a ship; if need be it would be
practicable to allow for this curvature. In the polar regions, however,
the faults of the mercator projection become so much exaggerated that it
is not used for navigational purposes, but because of the absence of
commercial navigation there this is a minor matter in the general
question of chart projection. For the plotting of original surveys the
mercator projection is not suited and is not used, for the reasons above
mentioned.
[Illustration: FIG. 23. POLYCONIC PROJECTION OF PORTION OF NORTH PACIFIC
OCEAN.]
Tables of "meridional parts" are published which give the distance in
terms of minutes of longitude from the equator to the various parallels;
with these tables a mercator projection may readily be constructed.
Airy proposed a graphical method of sweeping the arc of a great circle
on to a mercator chart, and tables are published for this purpose. The
method is only approximate and is limited in application, and the
supplementary use of a gnomonic chart would appear to be preferable.
Public-domain text, read in full here on John Shaqi.
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