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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 chart thus begins with a framework of 12 equal houses. On this is superimposed the signs. In an equal house system the cusp between any two houses will fall at the corresponding point for each of the signs. Thus for a native whose ascendant is at 12? of Leo, the beginning of the second house will be at 12? of Virgo, of the third at 12? Libra, and so on. In other systems of houses which take into consideration the effects of the angle of intersection between the planes of the horizon and the ecliptic, the calculations will not be that simple. For these calculations it is essential to know the latitude of the event. Tables are available for these calculations, and more recently computer programs have been written to do this. Very often these programs allows the user to choose from a variety of house systems. The most commonly used house system is the Placidus system.