The planet itself rides on the equator circle of sphere 4. The axle of 4 fits inside sphere 3 with a slight angular offset.
The result should be approximately a quarter-circle of 16 spheres which do NOT start at 0 degrees and proceed to 0 degrees -- OOPS!
Book XI sets out results on solid figures analogous to those for planes in Books I and VI; Book XII proves theorems on the ratios of circles, the ratios of spheres, and the volumes of pyramids and cones; Book XIII shows how to inscribe the five regular solids known as the Platonic solids in a given sphere (compare the constructions of plane figures in Book IV).
Almucantar, in astronomy, any circle of the celestial sphere parallel to the horizon; when two objects are on the same almucantar, they have the same altitude.
Figure 9(H) shows that the path on the Gauss Map does not fall on a great circle of the unit sphere.
One innovation was the geodesic dome, which was devised by the architect and engineer R. Buckminster Fuller in the 1940s; in this form the ribs are placed in a triangular or hexagonal pattern and lie on the geodesic lines, or great circles, of a sphere.
An object can be described by the following five types of entities: a set of points, a set of lines, a circle, a sphere, a set of faces or by a combination of the five types (Fig. 5).
When the women of the Garden Club looked through that circle of leaves to see spheres made of sea-grape branches suspended from their beloved banyan tree, which was aglow with white lights, at least some of them finally got it.
Although the five entity types used to describe dynamic spatial information (a set of points, a set of lines, a circle, a sphere and a set of faces) cover most of the publicly available data, other types of spatial entities (such as a cube or cylinder) can be potentially used.
He did this by listening carefully to those both inside and outside of his immediate circle and sphere of influence.
