With 15th century technology, it was easier to make a regular curved mirror ( from blown glass ) than a perfectly flat one.
3.
However, it has a regular curve and both sides are parallel without pinching in at the ends which is not the true shape of a boomerang.
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That is, a regular curve with nonzero torsion must have nonzero curvature . ( This is just the contrapositive of the fact that zero curvature implies zero torsion .)
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A "'cavetto "'is a moulding with a regular curved profile that is part of a circle, widely used in architecture as well as furniture, picture frames, metalwork and other decorative arts.
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A differentiable curve is said to be " regular " if its derivative never vanishes . ( In words, a regular curve never slows to a stop or backtracks on itself . ) Two C ^ k differentiable curves
7.
After experimenting and studying traditional sharpies and the writings of small-boat historian Howard I . Chapelle and others, he developed the theory that the optimum chine line for a sailing sharpie should represent a regular curve without breaks, changes in radius or straight sections.
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