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The Archimedean spiral (also known as Archimedes' spiral, the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes. The term Archimedean spiral is sometimes used to refer to the more general class of spirals of this type (see below), in contrast to Archimedes' spiral (the specific arithmetic spiral of ...
A spiral antenna is a type of radio frequency antenna shaped as a spiral, [1]: 14‑2 first described in 1956. [2] Archimedean spiral antennas are the most popular, while logarithmic spiral antennas are independent of frequency: [3] the driving point impedance, radiation pattern and polarization of such antennas remain unchanged over a large bandwidth. [4]
An Archimedean spiral is, for example, generated while coiling a carpet. [5] A hyperbolic spiral appears as image of a helix with a special central projection (see diagram). A hyperbolic spiral is some times called reciproke spiral, because it is the image of an Archimedean spiral with a circle-inversion (see below). [6]
The Archimedean spiral with three 360° turnings on one arm. The Archimedean spiral was first studied by Conon and was later studied by Archimedes in On Spirals.Archimedes was able to find various tangents to the spiral. [1]
For <, spiral-ring pattern; =, regular spiral; >, loose spiral. R is the distance of spiral starting point (0, R) to the center. R is the distance of spiral starting point (0, R) to the center. The calculated x and y have to be rotated backward by ( − θ {\displaystyle -\theta } ) for plotting.
One arm of an Archimedean spiral with equation r(φ) = φ / 2π for 0 < φ < 6π The Archimedean spiral is a spiral discovered by Archimedes which can also be expressed as a simple polar equation. It is represented by the equation r ( φ ) = a + b φ . {\displaystyle r(\varphi )=a+b\varphi .}
In March, a mother was horrified to find a pedophile symbol on a toy she bought for her daughter. Although the symbol was not intentionally placed on the toy by the company who manufactured the ...
The spiral can, in fact, be used to divide an angle into any number of equal parts. Archimedes described how to trisect an angle using the Archimedean spiral in On Spirals around 225 BC. With a marked ruler