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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 ...
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.
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.
Bhavachakra, "wheel of life," [a] consists of the words bhava and chakra.. bhava (भव) means "being, worldly existence, becoming, birth, being, production, origin". [web 1]In Buddhism, bhava denotes the continuity of becoming (reincarnating) in one of the realms of existence, in the samsaric context of rebirth, life and the maturation arising therefrom. [2]
First, a large circle is constructed and its circumference is subdivided by 12 diameters into 12 arcs (of 30 degrees each; see regular dodecagon). Next, the radius of this circle is itself subdivided into 12 unit segments (radial units), and a series of concentric circles is constructed, each with radius incremented by one radial unit.
Yang Hui's magic circle series was published in his Xugu Zhaiqi Suanfa《續古摘奇算法》(Sequel to Excerpts of Mathematical Wonders) of 1275.His magic circle series includes: magic 5 circles in square, 6 circles in ring, magic eight circle in square magic concentric circles, magic 9 circles in square.
The two given circles α and β touch the n circles of the Steiner chain, but each circle C k of a Steiner chain touches only four circles: α, β, and its two neighbors, C k−1 and C k+1. By default, Steiner chains are assumed to be closed , i.e., the first and last circles are tangent to one another.