scholarly journals Archimedes of Syracuse and Sir Isaac Newton: On the Quadrature of a Parabola

2021 ◽  
Vol 11 (2) ◽  
pp. 374-391
Author(s):  
Wyatte Hooper
Keyword(s):  
Mathematics Students ◽  
Modern Approach ◽  
Sir Isaac Newton ◽  
Isaac Newton ◽  
Algebraic Expressions ◽  
Simple Curves ◽  
Area Problem ◽  
Introductory Calculus ◽  
Modern Mathematics

Good mathematics stands the test of time. As culture changes, we often ask different questions, bringing new perspectives, but modern mathematics stands on ancient discoveries. Isaac Newton’s discovery of calculus (along with Leibniz) may seem old but is predated by Archimedes’ findings. Current mathematics students should be familiar with parabolas and simple curves; in our introductory calculus courses, we teach them to compute the areas under such curves. Our modern approach derives its roots from Newton’s work; however, we have filled in many of the gaps in the pursuit of mathematical rigor. What many students may not know is that Archimedes solved the area problem for parabolas long before the use of algebraic expressions became mainstream. Archimedes used the geometry of the ancient Greeks, which gave him a vastly different perspective. In this paper we provide both Archimedes’ and Newton’s proofs involving the quadrature of the parabola, trying to remain true to their original texts as much as feasible.

scholarly journals XXIV. A discourse concerning the menstrual parallax, arising from the mutual gravitation of the Earth and Moon; it's influence on the observations of the Sun and Planets; with a method of observing it: By J. Smeaton, F. R. S

1768 ◽  
Vol 58 ◽  
pp. 156-169 ◽  
Keyword(s):  
Center Of Gravity ◽  
The Sun ◽  
Sir Isaac Newton ◽  
Isaac Newton ◽  
The Earth ◽  
Common Center

It is demonstrated by Sir Isaac Newton in the Principia , that it is not the Earth's center, but the common center of gravity of the Earth and Moon, that describes the ecliptic; and that the Earth and Moon revolve in similar ellipses, about their common center of gravity.

scholarly journals Bibliography of recent books and articles dealing with the history of the Royal Society

1970 ◽  
Vol 25 (1) ◽  
pp. 127-133
Keyword(s):  
Royal Society ◽  
New Haven ◽  
Yale University ◽  
Sir Isaac Newton ◽  
Charles Town ◽  
Isaac Newton ◽  
James Cook ◽  
John Hunter ◽  
History Of ◽  
History Of Sciences

Each number of Notes and Records contains a short bibliography of books and articles dealing with the history of the Royal Society or its Fellows which have been noted since the publication of the last number. If Fellows would be good enough to draw the Editor’s attention to omissions these would be added to the list in the next issue. Books Badash, L. (Editor). Rutherford and Boltwood: letters on radioactivity. (Yale studies in the History of Sciences and Medicine, Vol. 4.) New Haven: Yale University Press, 1969. $12.50. Begg, A. C. and Begg, N.C. James Cook and New Zealand . Wellington, N.Z.: A. R. Shearer, 1969. £ 2 5s. Berkeley, E. and Berkeley, Dorothy, S. Dr Alexander Gordon of Charles Town . University of North Carolina Press, 1969. $10.00. Bestcrman, T. Voltaire. London: Longmans, 1969. 8s. Bowden, D. K. Leibniz as a librarian and eighteenth-century librarians Germany . London: University College, 1969. 7s. 6d. Darwin, C. R. Questions about the breeding of animals . Facsim. repr. with an introduction by Sir Gavin Dc Beer. London: Society for the Bibliography of Natural History, 1969. £1 15s. Davis, N. P. Lawrence and Openhimer . London: Cape, 1969. 2s. Dobson, J. John Hunter. Edinburgh & London: E. & S. Livingstone, 1969. £ 2 10s. Eales, N. B. The Cole library of early medicine and zoology . Catalogue of books and pamphlets. Part 1. 1472 to 1800. Oxford: Aldcn Press for the Library, University of Reading, 1969. £$ 5s. Edleston, J. (Editor). Correspondence of Sir Isaac Newton and Professor Cotes . (1830.) (Cass Library of Science Classics. No. 12.) London: Frank Cass, 1969. £ 6 6s. Fothergill, B. Sir William Hamilton . Faber and Faber, 1969. £ 2 10s. French, R. K. Robert Whytt, the soul, and medicine . (Publications of the Wellcome Institute, No. 17.) London: Wellcome Institute of the History of Medicine, 1969. £ 2 5s.

scholarly journals On the figure requisite to maintain the equilibrium of a homogeneous fluid mass that revolves upon an axis

1833 ◽  
Vol 2 ◽  
pp. 206-207
Keyword(s):  
Direct Analysis ◽  
Homogeneous Fluid ◽  
Mutual Attraction ◽  
Sir Isaac Newton ◽  
Isaac Newton ◽  
Fluid Mass

The author enumerates the various steps by which Sir Isaac Newton, M c Laurin, and Laplace have carried the theory of the equilibrium of a revolving fluid very near to perfection, but he observes that they have generally supposed the spheroid to differ but little from a sphere; and he proceeds in the present paper to investigate the figure “by a direct analysis, in which no arbitrary supposition is admitted.” Mr. Ivory thinks it necessary to distinguish carefully two separate cases; the first is when the particles of the fluid do not attract one another, and the second when the particles are endued with attractive powers. These, he says, are plainly two cases that are essentially different from one another; for in the first, a stratum added induces no other change than an increase of pressure caused by the action of the accelerating forces at the surface; but in the second, besides the pressure, a new force is introduced, arising from the mutual attraction between the matter of the stratum and the fluid mass to which it is added.

Gendered Ecologies

2020 ◽  
Keyword(s):  
Nineteenth Century ◽  
Women Writers ◽  
George Eliot ◽  
Sir Isaac Newton ◽  
Robert Boyle ◽  
Isaac Newton ◽  
Natural Domain ◽  
Diachronic Study ◽  
Natural Philosophers ◽  
Michael Faraday

Gendered Ecologies: New Materialist Interpretations of Women Writers in the Long Nineteenth Century is comprised of a diverse collection of essays featuring analyses of literary women writers, ecofeminism, feminist ecocriticism, and the value of the interrelationships that exist among human, nonhuman, and nonliving entities as part of the environs. The book presents a case for the often-disregarded literary women writers of the long nineteenth century, who were active contributors to the discourse of natural history—the diachronic study of participants as part of a vibrant community interconnected by matter. While they were not natural philosophers as in the cases of Sir Isaac Newton, Robert Boyle, and Michael Faraday among others, these women writers did engage in acute observations of materiality in space (e.g., subjects, objects, and abjects), reasoned about their findings, and encoded their discoveries of nature in their literary and artistic productions. The collection includes discussions of the works of influential literary women from the long nineteenth century—Mary Wollstonecraft, Mary Shelley, Caroline Norton, Charlotte Brontë, George Eliot, Mary Elizabeth Braddon, Jane Johnston Schoolcraft, Margaret Fuller, Susan Fenimore Cooper, Celia Thaxter, Laura Ingalls Wilder, Francis Wright, and Lydia Maria Child—whose multi-directional observations of animate and inanimate objects in the natural domain are based on self-made discoveries while interacting with the environs.

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