Every-day Science: Volume 7. The Conquest of Time and SpaceWilliams, Henry Smith
History
Every-day Science: Volume 7. The Conquest of Time and Space
Williams, Henry Smith
Transportation
The modern surveyor, equipped with instruments for the accurate
measuring of angles, not differing largely in principle from the
quadrant of the navigator, would consider Norman's method of
measurement a very clumsy one. He would measure only a single original
base line of any convenient length, but would make that measurement
with very great accuracy, using, perhaps, a rod packed in ice that
it might not vary in length by even the fraction of an inch through
changes in temperature. An accurate base line thus secured, he
would depend thereafter on the familiar method of triangulation, in
which angles are measured very accurately, and from such measurement
the length of the sides of the successive triangles determined by
simple calculation. In the end he would thus have made the most
accurate determination of the distance involved, without having
actually measured any portion thereof except the original base line.
Notwithstanding the crudity of Norman's method, however, his estimate
of the actual length of a degree of the earth's surface was correct,
as more recent measurements have demonstrated, within twelve yards--a
really remarkable result when it is recalled that the total length of
the degree is about sixty nautical miles.
Inasmuch as the earth is not precisely spherical, but is slightly
flattened at the poles, successive degrees of latitude are not
absolutely uniform all along a meridian, but decrease slightly as the
poles are approached. The deviation is so slight, however, that for
practical purposes the degree of latitude may be considered as an
unvarying unit. But obviously such is not the case with a degree of
longitude. The most casual glance at a globe on which the meridian
lines are drawn, shows that these lines intersect at the poles, and
that the distance between them is, in the nature of the case, different
at each successive point between poles and equator. It is only at the
equator itself that a degree of longitude represents 1/360 of the
earth's circumference. Everywhere else the parallels of latitude cut
the meridians in what are termed small circles--that is to say, circles
that do not represent circumference lines in the plane of the earth's
center. Therefore while all points on any given meridian of longitude
are equally distant in terms of degrees and minutes of arc from the
meridian of Greenwich, the actual distances from that meridian of the
different points as measured in miles will depend entirely upon their
latitude.
At the equator each degree of longitude corresponds to (approximately)
sixty miles, but in the middle latitudes traversed for example by the
transatlantic lines, a degree of longitude represents only half that
distance; and in the far North the meridians of longitude draw closer
and closer together until they finally converge, and at the poles all
longitudes are one.
Public-domain text, read in full here on John Shaqi.
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