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The region of the plane between two concentric circles is an annulus, and analogously the region of space between two concentric spheres is a spherical shell. [6] For a given point c in the plane, the set of all circles having c as their center forms a pencil of circles. Each two circles in the pencil are concentric, and have different radii.
Slicing with the z = 0 plane produces two concentric circles, x 2 + y 2 = 2 2 and x 2 + y 2 = 8 2, the outer and inner equator. Slicing with the x = 0 plane produces two side-by-side circles, (y − 5) 2 + z 2 = 3 2 and (y + 5) 2 + z 2 = 3 2. Two example Villarceau circles can be produced by slicing with the plane 3y = 4z. One is centered at ...
English: Color Study, Squares with Concentric Circles, sm, Munich, Stadtische Galerie in Lenbach, Germany. Date: ... 1925 are subjects of points 1-2 of this template.
The most efficient way to pack different-sized circles together is not obvious. In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap.
A pencil of circles (or coaxial system) is the set of all circles in the plane with the same radical axis. [9] To be inclusive, concentric circles are said to have the line at infinity as a radical axis. There are five types of pencils of circles, [10] the two families
The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.
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Yang Hui's magic concentric circles – numbers on each circle and diameter (ignoring the middle 9) sum to 138. Magic circles were invented by the Song dynasty (960–1279) Chinese mathematician Yang Hui (c. 1238–1298).