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32 relations: Absolute value, Arc (geometry), Atomic force microscopy, Base curve radius, Beam (structure), Bend radius, Cartesian coordinate system, Cesàro equation, Circle, Curvature, Curve, Degree of curvature, Diameter, Differential geometry, Differential geometry of curves, Dot product, Ellipse, Euler spiral, Graph of a function, Minimum railway curve radius, Normal plane (geometry), Osculating circle, Parametric equation, Plane curve, Radius, Radius of curvature (optics), Reverse curve, Semicircle, Surface (mathematics), Tangential angle, Track transition curve, Vertex (curve).
Absolute value
In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.
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Arc (geometry)
In Euclidean geometry, an arc (symbol: ⌒) is a closed segment of a differentiable curve.
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Atomic force microscopy
Atomic force microscopy (AFM) or scanning force microscopy (SFM) is a very-high-resolution type of scanning probe microscopy (SPM), with demonstrated resolution on the order of fractions of a nanometer, more than 1000 times better than the optical diffraction limit.
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Base curve radius
Base curve radius, or simply base curve, abbreviated BCR or BC, is the measure of an important parameter of a lens in optometry.
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Beam (structure)
A beam is a structural element that primarily resists loads applied laterally to the beam's axis.
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Bend radius
Bend radius, which is measured to the inside curvature, is the minimum radius one can bend a pipe, tube, sheet, cable or hose without kinking it, damaging it, or shortening its life.
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Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
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Cesàro equation
In geometry, the Cesàro equation of a plane curve is an equation relating the curvature (\kappa) at a point of the curve to the arc length (s) from the start of the curve to the given point.
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Circle
A circle is a simple closed shape.
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Curvature
In mathematics, curvature is any of a number of loosely related concepts in different areas of geometry.
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Curve
In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but that need not be straight.
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Degree of curvature
Degree of curve or degree of curvature is a measure of curvature of a circular arc used in civil engineering for its easy use in layout surveying.
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Diameter
In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
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Differential geometry
Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.
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Differential geometry of curves
Differential geometry of curves is the branch of geometry that deals with smooth curves in the plane and in the Euclidean space by methods of differential and integral calculus.
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Dot product
In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.
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Ellipse
In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.
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Euler spiral
An Euler spiral is a curve whose curvature changes linearly with its curve length (the curvature of a circular curve is equal to the reciprocal of the radius).
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Graph of a function
In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.
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Minimum railway curve radius
The minimum railway curve radius is the shortest allowable design radius for the centre line of railway tracks under a particular set of conditions.
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Normal plane (geometry)
A normal plane is any plane containing the normal vector of a surface at a particular point.
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Osculating circle
In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given point p on the curve has been traditionally defined as the circle passing through p and a pair of additional points on the curve infinitesimally close to p. Its center lies on the inner normal line, and its curvature is the same as that of the given curve at that point.
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Parametric equation
In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.
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Plane curve
In mathematics, a plane curve is a curve in a plane that may be either a Euclidean plane, an affine plane or a projective plane.
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Radius
In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
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Radius of curvature (optics)
Radius of curvature (ROC) has specific meaning and sign convention in optical design.
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Reverse curve
In civil engineering, a reverse curve (or "S" curve) is a section of the horizontal alignment of a highway or railroad route in which a curve to the left or right is followed immediately by a curve in the opposite direction.
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Semicircle
In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle.
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Surface (mathematics)
In mathematics, a surface is a generalization of a plane which needs not be flat, that is, the curvature is not necessarily zero.
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Tangential angle
In geometry, the tangential angle of a curve in the Cartesian plane, at a specific point, is the angle between the tangent line to the curve at the given point and the -axis.
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Track transition curve
A track transition curve, or spiral easement, is a mathematically-calculated curve on a section of highway, or railroad track, in which a straight section changes into a curve.
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Vertex (curve)
In the geometry of planar curves, a vertex is a point of where the first derivative of curvature is zero.
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Curve radius, Radius of curvature (applications), Radius of curvature (mathematics).
References
[1] https://en.wikipedia.org/wiki/Radius_of_curvature
