2022Modelling in Civil Environmental EngineeringOpen access

Special Curves in Engineering. Surfaces Generated by the Logarithmic Spiral

Ștefan Cezar Broscăţeanu

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Abstract

Abstract The logarithmic spiral is one of the most known curves with applications in engineering. We consider product of the logarithmic spiral with a real line and tensor product of two logarithmic spirals and investigate their minimality or flatness. The Vrănceanu surface, with c 1 a logarithmic spiral, is also considered.

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Abstract The logarithmic spiral is one of the most known curves with applications in engineering. We consider product of the logarithmic spiral with a real line and tensor product of two logarithmic spirals and investigate their minimality or flatness. The Vrănceanu surface, with c 1 a logarithmic spiral, is also considered.

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Available abstract

Abstract The logarithmic spiral is one of the most known curves with applications in engineering. We consider product of the logarithmic spiral with a real line and tensor product of two logarithmic spirals and investigate their minimality or flatness. The Vrănceanu surface, with c 1 a logarithmic spiral, is also considered.

Key concepts: Logarithmic spiral, Flatness (cosmology), Logarithm, Spiral (railway), Mathematics, Mathematical analysis, Physics, Quantum mechanics

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