Invariance of the Area and Volume of Cycloid Surfaces and Trochoid Surfaces

DOI10.1080/00029890.2022.2130677OpenAlexW4307054800MaRDI QIDQ5872831

Hyounggyu Choi

Publication date: 4 January 2023

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2022.2130677

zbMATH Keywords

volumesurface areacycloid surfacetrochoid surface

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25) Curves in Euclidean and related spaces (53A04)

Cites Work

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• Generalizations of Pappus' centroid theorem via Stokes' theorem
• On Pappus-type theorems on the volume in space forms
• Invariance of the Length and the Area of Cycloids
• Generalizations of the Theorems of Pappus

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