Archimedean spiral - Wikipedia
WEBThe Archimedean spiral has the property that any ray from the origin intersects successive turnings of the spiral in points with a constant separation distance (equal to 2πb if θ is measured in radians), hence the name "arithmetic spiral".
Spirals - Encyclopedia of Mathematics
WEBApr 9, 2023 · Algebraic spirals are spirals whose equations in polar coordinates are algebraic with respect to the variables $\rho$ and $\phi$. These include the hyperbolic spiral, the Archimedean spiral, the Galilean spiral, the …
Spiral - Wikipedia
WEBa three-dimensional curve that turns around an axis at a constant or continuously varying distance while moving parallel to the axis; a helix.
Archimedean Spiral -- from Wolfram MathWorld
WEBAug 22, 2024 · An Archimedean spiral is a spiral with polar equation r=atheta^ (1/n), (1) where r is the radial distance, theta is the polar angle, and n is a constant which determines how tightly the spiral is "wrapped."
Spiral -- from Wolfram MathWorld
WEBAug 22, 2024 · A spiral is a curve that gets farther away from a central point as the angle is increased, thus "wrapping around" itself. The simplest example is Archimedes' spiral, whose radial distance increases linearly with angle.
Spiral | Definition, Examples, & Facts | Britannica
WEBSpiral, plane curve that, in general, winds around a point while moving ever farther from the point. Many kinds of spirals are known, the first dating from the days of ancient Greece. The curves are observed in nature, and human beings have used them in machines and in ornament, notably.
Spiral of Theodorus - Wikipedia
WEBIn geometry, the spiral of Theodorus (also called the square root spiral, Pythagorean spiral, or Pythagoras's snail) [1] is a spiral composed of right triangles, placed edge-to-edge. It was named after Theodorus of Cyrene.
WEBBecause of eat, the spiral goes out if a > 0: spiral source. Solutions spiral in if a < 0: spiral sink. The frequency ! controls how fast the solutions oscillate and how quickly the spirals go around .0;0/. In case a DB=2A is zero (no damping), we have a center at (0, 0). The only terms left in y are ei!t and e i!t, in other words cos!t and sin ...
Archimedes' Spiral -- from Wolfram MathWorld
WEBAug 22, 2024 · Archimedes' spiral is an Archimedean spiral with polar equation r=atheta. (1) This spiral was studied by Conon, and later by Archimedes in On Spirals about 225 BC. Archimedes was able to work out the lengths of various tangents to the spiral.
Spiral - Math.net
WEBSpiral. A 2D spiral is an open curve that revolves around a fixed central point, called the center, that moves farther away from the center as it revolves. Below are three different types of spirals. Spirals exist in nature and man-made objects. The spiral galaxy and a seashell shown in the first two figures below are spiral shaped.