The Archimedean spiral (also known as Archimedes' spiral, the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes...
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circle Archimedean spiral hyperbolic spiral Fermat's spiral lituus logarithmic spiral Cornu spiral spiral of Theodorus Fibonacci Spiral (golden spiral) The...
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it Spira mirabilis, "the marvelous spiral". The logarithmic spiral can be distinguished from the Archimedean spiral by the fact that the distances between...
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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...
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Polar coordinate system (section Archimedean spiral)
coordinates in establishing stellar positions. In On Spirals, Archimedes describes the Archimedean spiral, a function whose radius depends on the angle. The...
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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...
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On Spirals (Greek: Περὶ ἑλίκων) is a treatise by Archimedes, written around 225 BC. Notably, Archimedes employed the Archimedean spiral in this book to...
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logarithmic spirals, Archimedean spirals, or hyperbolic spirals, their pitch angles vary with distance from the galactic center, unlike logarithmic spirals (for...
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distance from the spiral center, contrasting with the Archimedean spiral (for which this distance is invariant) and the logarithmic spiral (for which the...
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Archimedean point Archimedean property Archimedean solid Archimedean spiral Archimedean tiling Archimedean screw Claw of Archimedes The Archimedeans, the mathematical...
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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...
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of Theodorus approximates the Archimedean spiral. Just as the distance between two windings of the Archimedean spiral equals mathematical constant π...
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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 )...
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Archimedes (section Archimedean property)
of a spiral. Archimedes' other mathematical achievements include deriving an approximation of pi, defining and investigating the Archimedean spiral, and...
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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...
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, {\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...
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Triskelion (redirect from Triple spiral)
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...
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Archimedes' screw (redirect from Archimedean screw)
The Archimedes' screw, also known as the Archimedean screw, hydrodynamic screw, water screw or Egyptian screw, is one of the earliest hydraulic machines...
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list of spirals includes named spirals that have been described mathematically. Mathematics portal Catherine wheel (firework) List of spiral galaxies...
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= 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...
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logarithmic spiral. However, spiral arms may also be described as an Archimedean or hyperbolic spiral. In the case of the logarithmic spiral, the pitch...
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Sinusoid Spirals Archimedean spiral Cornu spiral Cotes' spiral Fermat's spiral Galileo's spiral [3] Hyperbolic spiral Lituus Logarithmic spiral Nielsen's...
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polygon Reuleaux triangle Salinon Semicircle Tomahawk Trefoil Triquetra Archimedean spiral Astroid Cardioid Deltoid Ellipse Various lemniscates Oval Cartesian...
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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...
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Water pumping (redirect from Spiral pump)
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,...
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James Yeargans - painter Woodruff suggested the name "spiral" in reference to the Archimedean spiral that "moves outward embracing all directions, yet continually...
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disjoint and nested within each other. The logarithmic spiral or the pictured Archimedean spiral provide examples of curves whose curvature is monotonic...
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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...
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particular, it appears in the problems of: rectifying the parabola and the Archimedean spiral finding the surface area of the helicoid. This antiderivative may...
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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...
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