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
|