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The celestial sphere is a sphere of arbitrary radius upon which the items appearing on the horoscope are projected without regard to their distance from the native.

The plane of the equator is defined by the earth's equator. The plane of the ecliptic is defined by the orbit of the earth and the sun. For all practical purposes the plane of the equator and the plane of the ecliptic maintain a constant inclination relative to each other of approximately 23.5�. The plane of the horizon is centred on the native, and is tangential to the earth at that point. In a sphere whose radius is indefinitely large this plane may be treated as nearly equivalent to the parallel plane with its centre at the earth's center. This greatly simplifies understanding the geometry of the horoscope. Some writers on astrology have considered the effects of parallax, but most would agree that they are relatively minor; they are clearly beyond the scope of this article. The axis of the plane of the horizon has end points above, the zenith, and below, the nadir.

The houses are a series of twelve intervals on the plane of the ecliptic. Astrologers have devised at least nine different ways of calculating the positions of those houses. Just as this article does not seek to discuss the validity of astrology, it is also beyond its scope to attempt to resolve questions which may be disputed among astrologers. The use of a particular system of house division is often more a result of what calculations are available than of any conscious consideration of one system's merits over that of an other. Similarly, explanations in this article based on the Equal House System are not meant to give any theoretical preference to that system; it is simply the system whose geometry is easiest to understand. Using an Equal House System the ecliptic is divided into twelve equal spaces of 30? each. The first house begins at the ascendant and the others are numbered consecutively counterclockwise from that point. The first six are all below the horizon, and the later six are all above. The positions of these houses remains fixed relative to the native. The signs move through the houses. The planets move through the signs.

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