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・ Euler function
・ Euler Granda
・ Euler Hermes
・ Euler Hydro-triplane
・ Euler integral
・ Euler line
・ Euler method
・ Euler number
・ Euler number (physics)
・ Euler operator
・ Euler product
・ Euler pseudoprime
・ Euler Renato Westphal
・ Euler sequence
・ Euler Society
Euler spiral
・ Euler substitution
・ Euler summation
・ Euler system
・ Euler tour technique
・ Euler's conjecture
・ Euler's continued fraction formula
・ Euler's criterion
・ Euler's critical load
・ Euler's Day Off
・ Euler's Disk
・ Euler's equations (rigid body dynamics)
・ Euler's factorization method
・ Euler's flycatcher
・ Euler's formula


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Euler spiral : ウィキペディア英語版
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). Euler spirals are also commonly referred to as spiros, clothoids, or Cornu spirals.
Euler spirals have applications to diffraction computations. They are also widely used as transition curve in railroad engineering/highway engineering for connecting and transiting the geometry between a tangent and a circular curve. The principle of linear variation of the curvature of the transition curve between a tangent and a circular curve defines the geometry of the Euler spiral:
*Its curvature begins with zero at the straight section (the tangent) and increases linearly with its curve length.
*Where the Euler spiral meets the circular curve, its curvature becomes equal to that of the latter.
==Applications==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Euler spiral」の詳細全文を読む



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