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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 small) is proportional to the ... More

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