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French curve information


A set of the three most common French curves, also known as a Burmester set. The bottom object is most commonly used for hyperbolas; the smaller one above it is suited for ellipses. The large one is used mostly for parabolas.[1]

A French curve is a template usually made from metal, wood or plastic composed of many different curved segments. It is used in manual drafting and in fashion design to draw smooth curves of varying radii. The curve is placed on the drawing material, and a pencil, knife or other implement is traced around its curves to produce the desired result. They were invented by the German mathematician Ludwig Burmester and are also known as Burmester (curve) set.

  1. ^ "Drawing tools – French curves".

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French curve

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manual drafting "Drawing tools – French curves". Weisstein, Eric W. French Curve from MathWorld. Use of the French Curve from Integrated Publishing....

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Curve

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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. Intuitively, a curve may be...

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Extrapolation

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may curve back relative to the X-axis. This type of extrapolation could be done with a conic sections template (on paper) or with a computer. French curve...

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Technical drawing tool

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the freehand curve is then found out from the French curves. Finally, a neat continuous curve is drawn with the aid of the French curves.: 12–13  Rulers...

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Algebraic curve

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mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in a projective...

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Brachistochrone curve

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mathematics, a brachistochrone curve (from Ancient Greek βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), or curve of fastest descent, is the one...

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Gosper curve

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Gosper curve, named after Bill Gosper, also known as the Peano-Gosper Curve and the flowsnake (a spoonerism of snowflake), is a space-filling curve whose...

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Elliptic curve

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mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over...

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Koch snowflake

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Koch curve, Koch star, or Koch island) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which...

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Pursuit curve

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curve of pursuit is a curve constructed by analogy to having a point or points representing pursuers and pursuees; the curve of pursuit is the curve traced...

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Asymptotic curve

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In the differential geometry of surfaces, an asymptotic curve is a curve always tangent to an asymptotic direction of the surface (where they exist). It...

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Laffer curve

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Laffer curve illustrates a theoretical relationship between rates of taxation and the resulting levels of the government's tax revenue. The Laffer curve assumes...

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Drawing board

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There are instruments for drawing circles, arcs, other curves and symbols too (compass, French curve, stencil, etc.). However, with the gradual introduction...

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Yield curve

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In finance, the yield curve is a graph which depicts how the yields on debt instruments – such as bonds – vary as a function of their years remaining...

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Modular curve

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theory and algebraic geometry, a modular curve Y(Γ) is a Riemann surface, or the corresponding algebraic curve, constructed as a quotient of the complex...

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Indifference curve

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In economics, an indifference curve connects points on a graph representing different quantities of two goods, points between which a consumer is indifferent...

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Ruler

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for drawing or reproducing a smooth curve, where it takes the form of a rigid template, is known as a French curve. A flexible device that can be bent...

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Circular algebraic curve

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Watt's curve is a tricircular sextic. (in French) "Courbe Algébrique Circulaire" at Encyclopédie des Formes Mathématiques Remarquables (in French) "Courbe...

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Osgood curve

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analysis, an Osgood curve is a non-self-intersecting curve that has positive area. Despite its area, it is not possible for such a curve to cover any two-dimensional...

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Curve of constant width

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In geometry, a curve of constant width is a simple closed curve in the plane whose width (the distance between parallel supporting lines) is the same in...

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Flat spline

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points whose tension creates a smooth curve passing through those points, for the purpose of transferring that curve to another material. Before computers...

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