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Cuadratura de Polígonos por Disección

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Author(s): Oscar Fernando Soto Agreda | Libardo Jácome

Journal: Revista Sigma
ISSN 2027-064X

Volume: VIII;
Start page: 1;
Date: 2008;
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Keywords: Equally-large | Quadrature | Real Quadrature | Dissection | Elemental Rectangle

ABSTRACT
The last ten theorems from Book I of the Elements of Euclid turn out to betestimonies of Man’s concern for the transformation of equally-large figures and especially inorder to find the area of a flat figure using a rule and compass. The problem of the quadratureof the circle, for example, held the academic community up until the 17th century when its insolvability was determined. In this article particular cases of quadratures are presented by means of dissection and with the use of innovative theoretical elements in order to establish a general procedure to find the area of any rectangle without taking into account the value of reason between the longitude of its sides
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