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Lines of principal curvature on canal surfaces in R3

Ronaldo Garcia1, Jaume Llibre, Jorge Sotomayor

  • 1Instituto de Matemática e Estatística, Universidade Federal de Goiás, Goiânia, GO, Brasil. rgarcia@mat.ufg.br

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The degree of curvature and the radius of curvature are fundamental concepts in determining the sharpness or smoothness of a curve. The degree of curvature is a measure of how steeply a curve bends and can be determined using the chord basis or the arc basis. In the chord basis method, the degree of curvature is defined as the central angle subtended by a chord of 30.48 meters, helping in the calculation of the radius of the curve. The arc basis method defines the degree of...
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