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Muratov Sergei. The Art Of The Violin Design
A curve parametrized by an arclength such that the radius curvature is inversely proportional to the parameter at each point is a Cornu spiral. In contrast to another spirals the clothoid has this very important property: the radius curvature starts from infinity and aspires towards zero, continually approaching its asymptote (centre of volute), while the curvature aspires to the ideal form - to the circle.The curve of the violin outline is formed by joining segments of clothoids.