geometry, an Archimedean circle is any circle constructed from an arbelos that has the same radius as each of Archimedes' twin circles. If the arbelos...

The Archimedean spiral (also known as Archimedes' spiral, the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes...

refer to: Archimedean absolute value Archimedean circle Archimedean constant Archimedean copula Archimedean field Archimedean group Archimedean point Archimedean...

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of...

Bankoff circle or Bankoff triplet circle is a certain Archimedean circle that can be constructed from an arbelos; an Archimedean circle is any circle with...

lines to circles Versor Specific circles Apollonian circles Circles of Apollonius Archimedean circle Archimedes' circles – the twin circles doubtfully...

Bankoff circle Archimedes' twin circles Archimedean circle Schoch circles Woo circles Arbelos Ring lemma Weisstein, Eric W. "Tangent Circles." From MathWorld--A...

below. Archimedean absolute value Archimedean circle Archimedean copula Archimedean group Archimedean ordered field Archimedean point Archimedean property...

"carrying around") is the perimeter of a circle or ellipse. The circumference is the arc length of the circle, as if it were opened up and straightened...

In geometry, the Woo circles, introduced by Peter Y. Woo, are a set of infinitely many Archimedean circles. Form an arbelos with the two inner semicircles...

An osculating circle is a circle that best approximates the curvature of a curve at a specific point. It is tangent to the curve at that point and has...

square and circle of equal areas can be constructed from it. The Archimedean spiral can be used for another similar construction. Although the circle cannot...

area enclosed by a circle of radius r is πr2. Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter,...

circles congruent to the twin circles have also been found. These circles have also been called Archimedean circles. They include the Bankoff circle,...

around 225 BC. Notably, Archimedes employed the Archimedean spiral in this book to square the circle and trisect an angle. Archimedes begins On Spirals...

Schoch circles are twelve Archimedean circles constructed by Thomas Schoch. In 1979, Thomas Schoch discovered a dozen new Archimedean circles; he sent...

Theodorus: an approximation of the Archimedean spiral composed of contiguous right triangles The involute of a circle Archimedean spiral hyperbolic spiral Fermat's...

(disambiguation) The Wizard of Oz (disambiguation) Woo circles, a set of infinitely many Archimedean circles Woo! Yeah!, a drum break Worcester, Massachusetts...

Physics portal Arbelos Archimedean point Archimedes' axiom Archimedes number Archimedes paradox Archimedean solid Archimedes' twin circles Methods of computing...

patterns, Branko Grünbaum calls the vertex-uniform tilings Archimedean, in parallel to the Archimedean solids. Their dual tilings are called Laves tilings in...

marvelous spiral". The logarithmic spiral can be distinguished from the Archimedean spiral by the fact that the distances between the turnings of a logarithmic...

each have the same area as Archimedes' twin circles, making them Archimedean circles. An arbelos is formed from three collinear points A, B, and C, by...

congruent with Archimedes' twin circles, making it an Archimedean circle; it is one of the Schoch circles. The Schoch line is perpendicular to the line AC...

known of these curves are the polar rose, Archimedean spiral, lemniscate, limaçon, and cardioid. For the circle, line, and polar rose below, it is understood...

spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number...

but it is the only uniformly complete Archimedean field, and indeed one often hears the phrase "complete Archimedean field" instead of "complete ordered...

a diameter of a circle is any straight line segment that passes through the centre of the circle and whose endpoints lie on the circle. It can also be...

and a = 1 {\displaystyle a=1} (light blue). The involutes look like Archimedean spirals, but they are actually not. The arc length for a = 0 {\displaystyle...

whose perimeter is equal to the circumference of the circle. In the model circle above, the Archimedean area (accepting Goodwin's values for the circumference...

and thus the correctness of the construction. Trisection using the Archimedean spiral Trisection using the Maclaurin trisectrix There are certain curves...