Formulas for calculation of geometric characteristics of plane figures, restricted by cubic spline curves

V. I. Kalyadin

doi:10.17816/2074-0530-67032

Izvestiya MGTU MAMI ›› 2015, Vol. 9 ›› Issue (4-4) : 53 -58. DOI: 10.17816/2074-0530-67032

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Formulas for calculation of geometric characteristics of plane figures, restricted by cubic spline curves

V. I. Kalyadin

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Abstract

The article describes calculation of geometric characteristics of plane figures, which outlines are described by cubic spline curves. The authors obtained the exact formula to calculate area and static moments. The formulas allow to define the position of the center of gravity of figures and volumesof bodies formed by rotation of shapes around the axis.

Keywords

cubic spline curves / curve segment / parameterization / static moment of area

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V. I. Kalyadin. Formulas for calculation of geometric characteristics of plane figures, restricted by cubic spline curves. Izvestiya MGTU MAMI, 2015, 9(4-4): 53-58 DOI:10.17816/2074-0530-67032

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