We have still to define a great circle of the celestial sphere that is of
equal importance with the celestial equator and the celestial horizon.
This is the sun's apparent yearly path, or the _ecliptic_. We know that
the earth revolves about the sun once yearly in an orbit that is not
entirely round but somewhat eliptical. Now since the earth, the sun, and
the earth's orbit around the sun are always in one plane, it follows that
to an observer on the earth the sun would appear to be moving around the
earth instead of the earth around the sun. The sun's apparent path,
moreover, would be in the plane of the earth's orbit and when projected
against the celestial sphere, which is infinite in extent, would appear as
a great circle of that sphere. This great circle of the celestial sphere
is the ecliptic. The sun must always appear to be on this circle, not only
at all times of the year but at all hours of the day; for as the sun rises
and sets, the ecliptic rises and sets also, since the earth's rotation
causes an apparent daily revolution not only of the sun, moon, and planets
but also of the fixed stars and so of the whole celestial sphere and of
all the circles whose positions upon it do not vary. The ecliptic is
inclined to the celestial equator approximately 23-1/2°, an angle which
obviously measures the inclination of the plane of the earth's equator to
the plane of its orbit, since the celestial equator and the ecliptic are
great circles on the celestial sphere formed by extending the planes of
the earth's equator and its orbit to an infinite distance. Since both the
celestial equator and the ecliptic are great circles of the celestial
sphere each dividing it into equal parts, it is evident that these two
circles must intersect at points exactly opposite each other on the
celestial sphere. These points are called the vernal and the autumnal
equinoxes.
Public-domain text, read in full here on John Shaqi.
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