Bertrand Legendre curves are introduced with existence conditions and an inverse operation, inducing a bijective mapping on Legendre curve sets up to equivalence.
Bertrand, M´ emoire sur la th´ eorie des courbes ` a doub le courbure
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Bertrand Legendre curves in the unit tangent bundle over Euclidean plane
Bertrand Legendre curves are introduced with existence conditions and an inverse operation, inducing a bijective mapping on Legendre curve sets up to equivalence.