The visualization of quadratures in the mystery of corollary 3 to proposition 41 of Newton's \textit{Principia}
type: Item
instance of: scholarly article
title: The visualization of quadratures in the mystery of corollary 3 to proposition 41 of Newton's \textit{Principia}
zbMATH Open document ID: 0805.01004
author: Herman Erlichson
published in: Historia Mathematica
publication date: 1995-01-26T00:00:00Z
review text: The orbits for an inverse cube force are the only concrete examples given by Newton to his general solution of the inverse problem of central forces in his Principia. Seven years later, at a request of D. Gregory, he explained his use of auxiliary central conics in this Corollary 3. This was discussed analytically by \textit{H. W. Turnbull} [The correspondence of Isaac Newton Vol. 3, 348-354, C. U. P. (1974)]. The author offers a more detailed geometrical presentation to show that the mysterious conic sections are useful in providing visualizations of the orbits.
Mathematics Subject Classification ID: 01A45
Mathematics Subject Classification ID: 70-03
Mathematics Subject Classification ID: 70F99
zbMATH DE Number: 636022
zbMATH Keywords: quadratures
zbMATH Keywords: D. Gregory
zbMATH Keywords: conics
reviewed by: Detlef Laugwitz
MaRDI profile type: Publication
full work available at URL: hmat.1994.1014
OpenAlex ID: W2051906274
cites work: Q5821391
cites work: Q4773993
cites work: Q3284581
cites work: Q5652618
cites work: Q4049019
DOI: 10.1006/HMAT.1994.1014
description: scientific article; zbMATH DE number 636022