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The geometry of coincidence = Nicholas of Cusa and the quadrature of the circle /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The geometry of coincidence/ by Federica De Felice.
Reminder of title:	Nicholas of Cusa and the quadrature of the circle /
Author:	De Felice, Federica.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xii, 117 p. :ill., digital ;24 cm.
[NT 15003449]:	Life for Thinking and Thinking for Life -- Theology and Mathematics: The Perfect Combination -- Scripta mathematica: Genesis, Dates, and Contents -- The Archification Method and the coincidentia oppositorum -- Space as Creative Place for mens mensura: The New Geometric Dimension -- The Point as terminus in the Infinite Process -- "What if somebody denied that such a point [of coincidence] exists?": Toscanelli's criticism -- The Sources -- Cusanu geometra ridiculus? The Reception of the Scripta mathematica.
Contained By:	Springer Nature eBook
Subject:	Geometry - Philosophy. -
Online resource:	https://doi.org/10.1007/978-3-031-97345-1
ISBN:	9783031973451

The geometry of coincidence = Nicholas of Cusa and the quadrature of the circle /
De Felice, Federica.

The geometry of coincidenceNicholas of Cusa and the quadrature of the circle /[electronic resource] :by Federica De Felice. - Cham :Springer Nature Switzerland :2025. - xii, 117 p. :ill., digital ;24 cm. - SpringerBriefs in history of science and technology,2211-4572. - SpringerBriefs in history of science and technology..

Life for Thinking and Thinking for Life -- Theology and Mathematics: The Perfect Combination -- Scripta mathematica: Genesis, Dates, and Contents -- The Archification Method and the coincidentia oppositorum -- Space as Creative Place for mens mensura: The New Geometric Dimension -- The Point as terminus in the Infinite Process -- "What if somebody denied that such a point [of coincidence] exists?": Toscanelli's criticism -- The Sources -- Cusanu geometra ridiculus? The Reception of the Scripta mathematica.

This book offers a contribution to our understanding of Nicholas of Cusa's theory of geometry. It is based not only on his-generally more famous-philosophical texts (e.g., De docta ignorantia, Idiota, etc.), but also, and more significantly, on the strictly speaking mathematical texts drafted between 1445 and 1459, where Cusanus attempts to provide a solution to the vexata quaestio of the squaring of the circle. First critically edited in 2010-and translated into Italian by the author in 2020-Cusanus' Scripta mathematica are here scrutinized as to their context, genesis, and content, in order to shed light, on the one hand, on the philosophical and theological motives behind Cusanus' mathematical endeavours; and, on the other hand, on the scope and limits of Cusanus' geometrical constructive attempts to reach "mathematical perfection". In addition to providing a scrupulous survey of Cusanus' sources on mathematics, this book focuses on a little explored aspect in Cusanus' work, namely his original theory of geometrical space as men's space, where the activity of mensurare takes place, establishing relations of continuous proportionality to the original unity. In conclusion, the author provides an extensive account on the reception of Cusanus' mathematical texts, from their early dissemination to the reactions of several thinkers throughout history, ensuring a full and rounded overview of Cusanus' work in geometry, mathematics, and philosophy.

ISBN: 9783031973451

Standard No.: 10.1007/978-3-031-97345-1doiSubjects--Personal Names:

579781
Nicholas,
of Cusa, Cardinal,1401-1464.Subjects--Topical Terms:

663252
Geometry
--Philosophy.

LC Class. No.: QA442

Dewey Class. No.: 516.001

The geometry of coincidence = Nicholas of Cusa and the quadrature of the circle /
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520 $a This book offers a contribution to our understanding of Nicholas of Cusa's theory of geometry. It is based not only on his-generally more famous-philosophical texts (e.g., De docta ignorantia, Idiota, etc.), but also, and more significantly, on the strictly speaking mathematical texts drafted between 1445 and 1459, where Cusanus attempts to provide a solution to the vexata quaestio of the squaring of the circle. First critically edited in 2010-and translated into Italian by the author in 2020-Cusanus' Scripta mathematica are here scrutinized as to their context, genesis, and content, in order to shed light, on the one hand, on the philosophical and theological motives behind Cusanus' mathematical endeavours; and, on the other hand, on the scope and limits of Cusanus' geometrical constructive attempts to reach "mathematical perfection". In addition to providing a scrupulous survey of Cusanus' sources on mathematics, this book focuses on a little explored aspect in Cusanus' work, namely his original theory of geometrical space as men's space, where the activity of mensurare takes place, establishing relations of continuous proportionality to the original unity. In conclusion, the author provides an extensive account on the reception of Cusanus' mathematical texts, from their early dissemination to the reactions of several thinkers throughout history, ensuring a full and rounded overview of Cusanus' work in geometry, mathematics, and philosophy.
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