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

circle Archimedean spiral hyperbolic spiral Fermat's spiral lituus logarithmic spiral Cornu spiral spiral of Theodorus Fibonacci Spiral (golden spiral) The...

it Spira mirabilis, "the marvelous spiral". The logarithmic spiral can be distinguished from the Archimedean spiral by the fact that the distances between...

decreasing angles of Archimedean spirals. As this curve widens, it approaches an asymptotic line. It can be found in the view up a spiral staircase and the...

coordinates in establishing stellar positions. In On Spirals, Archimedes describes the Archimedean spiral, a function whose radius depends on the angle. The...

A spiral antenna is a type of radio frequency antenna shaped as a spiral,:  14‑2  first described in 1956. Archimedean spiral antennas are the most popular...

On Spirals (Greek: Περὶ ἑλίκων) is a treatise by Archimedes, written around 225 BC. Notably, Archimedes employed the Archimedean spiral in this book to...

logarithmic spirals, Archimedean spirals, or hyperbolic spirals, their pitch angles vary with distance from the galactic center, unlike logarithmic spirals (for...

distance from the spiral center, contrasting with the Archimedean spiral (for which this distance is invariant) and the logarithmic spiral (for which the...

Archimedean point Archimedean property Archimedean solid Archimedean spiral Archimedean tiling Archimedean screw Claw of Archimedes The Archimedeans, the mathematical...

from the center of the spiral. For an Archimedean spiral the angle decreases with the distance, while for a hyperbolic spiral the angle increases with...

of Theodorus approximates the Archimedean spiral. Just as the distance between two windings of the Archimedean spiral equals mathematical constant π...

conical spiral can instead be seen as the orthogonal projection of the floor plan spiral onto the cone. 1) Starting with an archimedean spiral r ( φ )...

of a spiral. Archimedes' other mathematical achievements include deriving an approximation of pi, defining and investigating the Archimedean spiral, and...

the Ulam spiral in 1994. In the Sacks spiral, the non-negative integers are plotted on an Archimedean spiral rather than the square spiral used by Ulam...

, {\displaystyle 2x(x^{2}+y^{2})=a(3x^{2}-y^{2}),} and the Archimedean spiral. The spiral can, in fact, be used to divide an angle into any number of...

a common center. The spiral design can be based on interlocking Archimedean spirals, or represent three bent human limbs. It occurs in artifacts of the...

The Archimedes' screw, also known as the Archimedean screw, hydrodynamic screw, water screw or Egyptian screw, is one of the earliest hydraulic machines...

list of spirals includes named spirals that have been described mathematically. Mathematics portal Catherine wheel (firework) List of spiral galaxies...

= f ( θ ) = a θ + b {\displaystyle r=f(\theta )=a\theta +b} is an Archimedean spiral if a ≠ 0 {\displaystyle a\neq 0} and a circle otherwise. Affine map...

logarithmic spiral. However, spiral arms may also be described as an Archimedean or hyperbolic spiral. In the case of the logarithmic spiral, the pitch...

Sinusoid Spirals Archimedean spiral Cornu spiral Cotes' spiral Fermat's spiral Galileo's spiral [3] Hyperbolic spiral Lituus Logarithmic spiral Nielsen's...

polygon Reuleaux triangle Salinon Semicircle Tomahawk Trefoil Triquetra Archimedean spiral Astroid Cardioid Deltoid Ellipse Various lemniscates Oval Cartesian...

curve. Archimedes (c.  287 – c.  212 BC) found the tangent to an Archimedean spiral by considering the path of a point moving along the curve. In the...

Archimedean screw, it can pump while horizontal. The Archimedean screw must be tilted at an angle. The spiral pump, if fitted with a suitable rotating seal,...

James Yeargans - painter Woodruff suggested the name "spiral" in reference to the Archimedean spiral that "moves outward embracing all directions, yet continually...

disjoint and nested within each other. The logarithmic spiral or the pictured Archimedean spiral provide examples of curves whose curvature is monotonic...

chiliagon requires other techniques such as the quadratrix of Hippias, Archimedean spiral, or other auxiliary curves. For example, a 9° angle can first be constructed...

particular, it appears in the problems of: rectifying the parabola and the Archimedean spiral finding the surface area of the helicoid. This antiderivative may...

tremor Other names Idiopathic tremor Archimedean spiral drawings by a man with a unilateral essential tremor. The spiral on the left was drawn by the subject...