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[1] If the author of this work was subjected to repression and rehabilitated posthumously, replace the death date by the later rehabilitation date. [2] Amateur films which were first shown on January 1, 1930 or later are subjects of points 1-2 of this template. [3] ROSTA reports created before July 10, 1925 are subjects of points 1-2 of this ...
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.
A circle is an ellipse with two coinciding foci. The limit of hyperbolas as the foci are brought together is degenerate: a pair of intersecting lines. If an orthogonal net of ellipses and hyperbolas is transformed by bringing the two foci together, the result is thus an orthogonal net of concentric circles and lines passing through the circle ...
The second circle is centered at any point on the first circle. All following circles are centered on the intersection of two other circles. The design is sometimes expanded into a regular overlapping circles grid. Bartfeld (2005) describes the construction: "This design consists of circles having a 1-[inch] radius, with each point of ...
64 numbers (1–64) are arranged in eight circles, each with eight numbers; each circle sums to 260. The total sum of all numbers is 2080 (=8×260). The circles are arranged in a 3×3 square grid with the center area open in a way that also makes the horizontal / vertical sum along the central columns and rows is 260, and the total sum of the ...
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.