Clothoid

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf Mathematical curve
gptkbp:alsoKnownAs gptkb:Cornu_spiral
gptkb:Euler_spiral
gptkb:Spiral_of_Cornu
gptkbp:application gptkb:Computer_graphics
gptkb:Physics
gptkb:Optics
gptkbp:category Plane curves
Spirals
gptkbp:definedIn Curvature increases linearly with arc length
gptkbp:hasEquation Curvature = a × arc length
https://www.w3.org/2000/01/rdf-schema#label Clothoid
gptkbp:mathematicalRepresentation gptkb:Fresnel_integrals
gptkbp:namedAfter gptkb:Clotho
gptkbp:property Smooth transition between straight and curved paths
Curvature is zero at one end and increases at the other
gptkbp:studiedBy gptkb:Leonhard_Euler
gptkbp:usedIn Railway design
Road design
Transition curves
gptkbp:bfsParent gptkb:Vertical_Loop
gptkbp:bfsLayer 6