two circles that almost touch, and moving one so that they touch, or a circle with small radius shrinking to a circle of zero radius. If the circles are...

investigations on circles are the radical axis of two circles and the radical center of three circles. The power diagram of a set of circles divides the plane...

TwoCircles.net (abbreviated as TCN) is a non-profit online news delivering organization registered in the state of Massachusetts founded in 2006. It targets...

"perfectly drawn circles." Chapman notes, however, that the circles are actually "two partial circles—not the single perfect circle crucial to the anecdote...

all the circles that are tangent to three given circles. Special cases of Apollonius' problem are those in which at least one of the given circles is a point...

otherwise these two circles are disjoint. Ford circles are a special case of mutually tangent circles; the base line can be thought of as a circle with infinite...

tangent circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to...

An overlapping circles grid is a geometric pattern of repeating, overlapping circles of an equal radius in two-dimensional space. Commonly, designs are...

geometry, the Malfatti circles are three circles inside a given triangle such that each circle is tangent to the other two and to two sides of the triangle...

Archimedean circles. They include the Bankoff circle, Schoch circles, and Woo circles. Let a and b be the diameters of two inner semicircles, so that the outer...

difference between the two circles is that the chromatic circle can be understood as a continuous space where every point on the circle corresponds to a conceivable...

two circles of the vesica piscis, or three circles forming in pairs three vesicae, are commonly used in Venn diagrams. Arcs of the same three circles...

topologically the product space of two circles, the n-dimensional torus is topologically equivalent to the product of n circles. That is: T n = S 1 × ⋯ × S 1...

r_{1}^{2}<x_{0}^{2}} the circles have no points in common. In case of r 1 2 = x 0 2 {\displaystyle r_{1}^{2}=x_{0}^{2}} the circles have one point in common...

plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of Perga (c. 262...

Mardan District, and Swabi District circles, while HAZECO consists of two circles: Hazara-I and Hazara-II Circles, with its headquarters located in Abbottabad...

called lines of longitude or meridians. Small circles on the sphere that are parallel to the equator are circles of latitude (or parallels). In geometry unrelated...

bounded by two concentric circles. Arc: any connected part of a circle. Specifying two end points of an arc and a centre allows for two arcs that together make...

In geometry, Villarceau circles (/viːlɑːrˈsoʊ/) are a pair of circles produced by cutting a torus obliquely through its center at a special angle. Given...

Circle packing in a circle is a two-dimensional packing problem with the objective of packing unit circles into the smallest possible larger circle. If...

In the Euclidean plane, two circles that are concentric necessarily have different radii from each other. However, circles in three-dimensional space...

These tropics are two of the five major circles of latitude that mark maps of Earth, the others being the Arctic and Antarctic circles and the Equator....

surrounding circles are closer to the central circle, the central circle appears larger and if the surrounding circles are far away, the central circle appears...

The circles of Apollonius are any of several sets of circles associated with Apollonius of Perga, a renowned Greek geometer. Most of these circles are...

geometry, the radical axis of two non-concentric circles is the set of points whose power with respect to the circles are equal. For this reason the...

the centers of the two circles. Draw a line QR (in light blue), connecting the two points on the circumferences of the two circles. Intersect the lines...

quadruples of circles. Any triangle has three externally tangent circles centered at its vertices. Two more circles, its Soddy circles, are tangent to...

one circle for violence (Circle 7) and two circles for fraud (Circles 8 and 9). As a Christian, Dante adds Circle 1 (Limbo) to Upper Hell and Circle 6 (Heresy)...

DB). Reflect the circle center B across the line EE' : Construct two new circles E(B) and E' (B) (in light blue). The light blue circles intersect at B...

It states as follows: A wheel is depicted in two-dimensional space as two circles. Its larger, outer circle is tangential to a horizontal surface (e.g....