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Conical spiral, the Glossary

In mathematics, a conical spiral, also known as a conical helix, is a space curve on a right circular cone, whose floor projection is a plane spiral.^[1]

19 relations: Conch, Conchospiral, Cone, Curve, Development (differential geometry), Elliptic integral, Fermat's spiral, Helicoid, Hyperbola, Hyperbolic spiral, Length, Lists of integrals, Logarithmic spiral, Mathematics, Orthographic projection, Pappus of Alexandria, Self-similarity, Spiral, Wenzel Jamnitzer.
Spirals

Conch

Conch is a common name of a number of different medium-to-large-sized sea snails.

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In mathematics, a conchospiral a specific type of space spiral on the surface of a cone (a conical spiral), whose floor projection is a logarithmic spiral. Conical spiral and conchospiral are spirals.

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Cone

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.

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Curve

In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight.

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Development (differential geometry)

In classical differential geometry, development is the rolling one smooth surface over another in Euclidean space.

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Elliptic integral

In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals, which were first studied by Giulio Fagnano and Leonhard Euler.

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Fermat's spiral

A Fermat's spiral or parabolic spiral is a plane curve with the property that the area between any two consecutive full turns around the spiral is invariant. Conical spiral and Fermat's spiral are spirals.

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Helicoid

The helicoid, also known as helical surface, is a smooth surface embedded in three-dimensional space.

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Hyperbola

In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

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Hyperbolic spiral

A hyperbolic spiral is a type of spiral with a pitch angle that increases with distance from its center, unlike the constant angles of logarithmic spirals or decreasing angles of Archimedean spirals. Conical spiral and hyperbolic spiral are spirals.

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Length

Length is a measure of distance.

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Lists of integrals

Integration is the basic operation in integral calculus.

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Logarithmic spiral

A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature. Conical spiral and logarithmic spiral are spirals.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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Orthographic projection

Orthographic projection (also orthogonal projection and analemma) is a means of representing three-dimensional objects in two dimensions.

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Pappus of Alexandria

Pappus of Alexandria (Πάππος ὁ Ἀλεξανδρεύς; AD) was a Greek mathematician of late antiquity known for his Synagoge (Συναγωγή) or Collection, and for Pappus's hexagon theorem in projective geometry.

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Self-similarity

In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts).

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Spiral

In mathematics, a spiral is a curve which emanates from a point, moving farther away as it revolves around the point. Conical spiral and spiral are spirals.

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Wenzel Jamnitzer

Wenzel Jamnitzer (sometimes Jamitzer, or Wenzel Gemniczer) (1507/1508 – 19 December 1585) was a Northern Mannerist goldsmith, artist, and printmaker in etching, who worked in Nuremberg.

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References

[1] https://en.wikipedia.org/wiki/Conical_spiral

Also known as Conic helix, Conic spiral, Conical helix.