A Preliminary Dissertation on the Mechanisms of the Heavens — John Shaqi
A Preliminary Dissertation on the Mechanisms of the HeavensSomerville, Mary
Science
A Preliminary Dissertation on the Mechanisms of the Heavens
Somerville, Mary
Celestial mechanics
The method however of finding the absolute distances of the celestial
bodies in miles, is in fact the same with that employed in measuring
distances of terrestrial objects. From the extremities of a known base
the angles which the visual rays from the object form with it, are
measured; their sum subtracted from two right-angles gives the angle
opposite the base; therefore by trigonometry, all the angles and sides
of the triangle may be computed; consequently the distance of the object
is found. The angle under which the base of the triangle is seen from
the object, is the parallax of that object; it evidently increases and
decreases with the distance; therefore the base must be very great
indeed, to be visible at all from the celestial bodies. But the globe
itself whose dimensions are ascertained by actual admeasurement,
furnishes a standard of measures, with which we compare the distances,
masses, densities, and volumes of the sun and planets.
The courses of the great rivers, which are in general navigable to a
considerable extent, prove that the curvature of the land differs but
little from that of the ocean; and as the heights of the mountains and
continents are, at any rate, quite inconsiderable when compared with the
magnitude of the earth, its figure is understood to be determined by a
surface at every point perpendicular to the direction of gravity, or of
the plumb-line, and is the same which the sea would have if it were
continued all round the earth beneath the continents. Such is the figure
that has been measured in the following manner:--
A terrestrial meridian is a line passing through both poles, all the
points of which have contemporaneously the same noon. Were the lengths
and curvatures of different meridians known, the figure of the earth
might be determined; but the length of one degree is sufficient to give
the figure of the earth, if it be measured on different meridians, and
in a variety of latitudes; for if the earth were a sphere, all degrees
would be of the same length, but if not, the lengths of the degrees will
be greatest where the curvature is least; a comparison of the length of
the degrees in different parts of the earth's surface will therefore
determine its size and form.
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