Astronomy in a nutshell : $b The chief facts and principles explained in popular language for the general reader and for schoolsServiss, Garrett Putman
Science
Astronomy in a nutshell : $b The chief facts and principles explained in popular language for the general reader and for schools
Serviss, Garrett Putman
Astronomy -- Juvenile literature
Every circle, no matter how large or how small, is divided into 360
equal parts, called degrees, usually indicated by the sign (°); each
degree is subdivided into 60 equal parts called minutes, indicated by
the sign (′); and each minute is subdivided into 60 equal parts called
seconds, indicated by the sign (″). Thus there are 360°, or 21,600′, or
1,296,000″ in every complete circle. The actual length of a degree in
inches, yards, or miles, depends upon the size of the circle, but no
circle ever has more than 360°, and a degree of any particular circle is
precisely equal to any other degree of that same circle. Thus, if a
circle is 360 miles in circumference, every one of its degrees will be
one mile long. In mathematics, a degree usually means not a distance
measured along the circumference of a circle, but an angle formed at the
centre of the circle between two lines called radii (radius in the
singular), which lines, where they intersect the circumference, are
separated by a distance equal to one 360th of the entire circle. But,
for ordinary purposes, it is simpler to think of a degree as an arc
equal in length to one 360th of the circle. Now, since the horizon, and
the other imaginary lines drawn in the sky, are all circles, it is
evident that the principle of circular measure may be applied to them,
and indeed must be so applied in order that they shall be of use to us
in indicating the position of a star.
To return, then, to the measurement of the azimuth of a star. Since the
south point is the place of beginning, we mark it 0°, and we divide the
circle of the horizon into 360°, counting round westward. Suppose we see
a star somewhere in the south-western quarter of the sky; then the point
where the vertical circle passing through that star intersects the
horizon will indicate its azimuth. Suppose that this point is found to
be 25° west of south; then 25° will be the star's azimuth. Suppose it is
90°; then the azimuth is 90°, and the star must be on the prime vertical
in the west, because west, being one quarter of the way round the
horizon from south, is 90° in angular distance from the south point.
Suppose the azimuth is 180°; then the star must be on the meridian north
of the zenith, because north is exactly half-way, or 180° round the
horizon from the south point. Suppose the azimuth is 270°; then the star
must be on the prime vertical in the east, because east is 270°, or
three quarters of the way round from the south point. If the star is on
the meridian in the south its azimuth may be called either 0° or 360°,
because on any graduated circle the mark indicating 360° coincides in
position with 0°, that being at the same time the point of beginning and
the point of ending.
Public-domain text, read in full here on John Shaqi.
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