The description and use of the globes and the orrery: To which is prefix'd, by way of introduction, a brief account of the solar systemHarris, Joseph
History
The description and use of the globes and the orrery: To which is prefix'd, by way of introduction, a brief account of the solar system
Harris, Joseph
Astronomical models; Globes
3. Bring the Sun’s place in the ecliptic to the meridian, and then set
the hour index to XII at Noon, and the globe will be rectified _to the
Sun’s Place_. If you have a little mariner’s compass, the meridian of
the globe may be easily set to the meridian of the place.
PROB. VII. _To find the Distance between any
two given places upon the Globe, and to find all
those places upon the globe that are at the same
distance from a given place._
Lay the quadrant of altitude over both the places, and the number of
degrees intercepted between them being reduced into miles, will be the
distance required: Or, you may take the distance betwixt the two places
with a pair of compasses, and applying that extent to the equator,
you’ll have the degrees of distance as before.
_Note_, A _geographical mile_ is the ¹/₆₀th part of a degree; whereof
if you multiply the number of degrees by 60, the product will be the
number of geographical miles of distance sought; but to reduce the
same into _English_ miles, you must multiply by 70, because about 70
_English_ miles make a degree of a great circle upon the superficies of
the Earth.
Thus, the distance betwixt _London_ and _Rome_ will be found to be
about 13 degrees, which is 780 geographical miles.
If you rectify the globe for the latitude and zenith of any given
place, and bring the said place to the meridian; then turning the
quadrant of altitude about, all those places that are cut by the same
point of it, are at the same distance from the given place.
PROB. VIII. _To find the angle of position of
Places, or the angle formed by the meridian of one
Place, and a great circle passing through both the
Places._
Having rectified the globe for the latitude and zenith of one of the
given places, bring the said place to the meridian, then turn the
quadrant of altitude about, until the fiducial edge thereof cuts the
other place, and the number of degrees upon the horizon, contained
between the said edge and the meridian, will be the angle of position
sought.
Thus, the angle of position at the _Lizard_, between the meridian of
the _Lizard_ and the great circle, passing from thence to _Barbadoes_
is 69 degrees South-Westerly; but the angle of position between the
same places at _Barbadoes_, is but 38 degrees North-Easterly.
_SCHOLIUM_
The angle of position between two places is a different thing from
what is meant by the bearings of places; the _Bearings_ of two places
is determined by a sort of spiral line, called a _Rhumb Line_, passing
between them in such a manner, as to make the same or equal angles
with all the meridians through which it passeth; but the _angle_ or
_position_ is the very same thing with what we call the azimuth in
astronomy, both being formed by the meridian and a great circle passing
thro’ the zenith of a given place in the heavens, then called the
azimuth, or upon the Earth, then called the angle of position.
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