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The grid

Louis A. Girifalco

in The Universal Force: Gravity - Creator of Worlds

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199228966
eISBN:
9780191711183
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199228966.003.0004
Subject:
Physics, History of Physics

Descartes believed he was meant to create the ultimate natural philosophy. He relied primarily on reason and philosophic principles, so most of the physics he developed was wrong. But he was a great ... More


From Analytic Geometry to the Fundamental Theorem of Algebra

Victor J. Katz and Karen Hunger Parshall

in Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691149059
eISBN:
9781400850525
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149059.003.0010
Subject:
Mathematics, History of Mathematics

This chapter follows up on the mathematical advances made during the sixteenth century, especially in the work of François Viète as he aspired to transform his algebra to realize his aim to “solve ... More


A Geometric Strategy

John P. Burgess and Gideon Rosen

in A Subject With No Object: Strategies for Nominalistic Interpretation of Mathematics

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250128
eISBN:
9780191597138
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198250126.003.0003
Subject:
Philosophy, Logic/Philosophy of Mathematics

Develops in some detail a strategy of nominalistic interpretation that assumes that points of spacetime are legitimate, concrete, physical entities. What makes the strategy possible is the fact that ... More


Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

Victor J. Katz and Karen Hunger Parshall

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691149059
eISBN:
9781400850525
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149059.001.0001
Subject:
Mathematics, History of Mathematics

What is algebra? For some, it is an abstract language of x's and y's. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and ... More


Treatment of Curves: Notion of Genre

Emily R. Grosholz

in Cartesian Method and the Problem of Reduction

Published in print:
1991
Published Online:
October 2011
ISBN:
9780198242505
eISBN:
9780191680502
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198242505.003.0003
Subject:
Philosophy, History of Philosophy, Logic/Philosophy of Mathematics

This chapter investigates Descartes's treatment of curves and his notion of genre. The exposition shows in detail how his method acts as a powerful ... More


A Very Short Course in Projective Geometry

Tony Robbin

in Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought

Published in print:
2006
Published Online:
October 2013
ISBN:
9780300110395
eISBN:
9780300129625
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300110395.003.0005
Subject:
Society and Culture, Technology and Society

This chapter serves as a brief lesson on projective geometry. It starts by discussing two basic theorems of projective geometry, which are concerned with perspectives from a point and perspectives ... More


Non-Archimedean Tame Topology and Stably Dominated Types (AM-192)

Ehud Hrushovski and François Loeser

Published in print:
2016
Published Online:
October 2017
ISBN:
9780691161686
eISBN:
9781400881222
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691161686.001.0001
Subject:
Mathematics, Geometry / Topology

Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model ... More


Foundations of Physics

in Selected Philosophical and Scientific Writings

Published in print:
2009
Published Online:
March 2013
ISBN:
9780226168067
eISBN:
9780226168081
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226168081.003.0005
Subject:
History, History of Science, Technology, and Medicine

This chapter presents a set of selections from Marquise Du Châtelet's major work of natural philosophy, the Foundations of Physics, published in Paris in 1740, when she was just thirty-four. “Natural ... More


The Correspondence between Princess Elisabeth of Bohemia and René Descartes

Princess Elisabeth of Bohemia and Rene Descartes

Published in print:
2007
Published Online:
February 2013
ISBN:
9780226204413
eISBN:
9780226204444
Item type:
book
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226204444.001.0001
Subject:
Literature, Women's Literature

Between the years 1643 and 1649, Princess Elisabeth of Bohemia (1618–80) and René Descartes (1596–1650) exchanged fifty-eight letters—thirty-two from Descartes and twenty-six from Elisabeth. Their ... More


All the King's Men

Vera S. Candiani

in Dreaming of Dry Land: Environmental Transformation in Colonial Mexico City

Published in print:
2014
Published Online:
September 2014
ISBN:
9780804788052
eISBN:
9780804791076
Item type:
chapter
Publisher:
Stanford University Press
DOI:
10.11126/stanford/9780804788052.003.0006
Subject:
History, Latin American History

This chapter examines the first push for changes in the Desagüe during the eighteenth century, when oidores and military engineers drew the project into both the efforts of the Bourbons to rein in ... More


Zero: Place-holder and peculiar number

Marcel Danesi

in Pythagoras' Legacy: Mathematics in Ten Great Ideas

Published in print:
2020
Published Online:
January 2020
ISBN:
9780198852247
eISBN:
9780191886959
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198852247.003.0003
Subject:
Mathematics, History of Mathematics, Educational Mathematics

Numerals are symbols that represent numbers. The most commonly used numerals, which are easy to read after one has learned to use them, are the decimal ones. The principle used to construct them is ... More


Effects of Stress

Gerhard Oertel

in Stress and Deformation: A Handbook on Tensors in Geology

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195095036
eISBN:
9780197560792
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195095036.003.0011
Subject:
Earth Sciences and Geography, Geology and the Lithosphere

The simplest relationship between stress and strain is Hooke’s law, describing the linear elastic response of solids to stress. Elastic strain (almost in all cases ... More


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