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Relationship Between The Ellipse Curve and The Sine Wave Using Circular Cylinder Section

08 April 2024, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

We can create an elliptical curve by intersecting a plane with a cylinder at an angle. A circle is an ellipse whose major and minor axes are identical. This study aimed to investigate the relationship between the ellipse and the sine wave curve using a cylinder section. The study found that we can derive the formula for a sine wave curve from the cylinder section, the ellipse formula can come from the sine wave curve formula, and both the sine wave curve and the ellipse have the same perimeter.

Keywords

cylinder section
ellipse dilation
wave curve
ellipse formula

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Version History

Apr 08, 2024 Version 1

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The content is available under CC BY 4.0 [opens in a new tab]

DOI

10.33774/coe-2024-cb3dl
D O I: 10.33774/coe-2024-cb3dl [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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