Spiral of Cornu

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkb:elliptic_curve
Fresnel integral
gptkbp:alsoKnownAs gptkb:Euler_spiral
gptkb:Clothoid
gptkbp:application highway engineering
diffraction analysis
transition curve
railway track design
gptkbp:category gptkb:software
mathematical analysis
plane curve
gptkbp:definedIn gptkb:Fresnel_integrals
gptkbp:firstDescribed 19th century
gptkbp:hasEquation x(s) = ∫₀ˢ cos(πt²/2) dt
y(s) = ∫₀ˢ sin(πt²/2) dt
https://www.w3.org/2000/01/rdf-schema#label Spiral of Cornu
gptkbp:namedAfter gptkb:Marie_Alfred_Cornu
gptkbp:property curvature increases linearly with arc length
gptkbp:relatedTo gptkb:Fresnel_diffraction
gptkb:Cornu's_spiral_diagram
gptkbp:usedIn gptkb:optics
railway engineering
road design
gptkbp:bfsParent gptkb:Clothoid
gptkbp:bfsLayer 7