Abstract
This paper aims to present the reconstruction of the arguments offered by Thomas Hobbes about the classic problem of the squareness of the circle in the seventeenth century, from the perspective of the work: De Corpore of the same author. Where research is based on the support offered by Dynamic Geometry in the 21st century in the classroom with the use of GeoGebra software. This to be able to address and overcome the problems of the history of mathematical science and philosophy. For this it was chosen, by the methodology of a design of a teaching experiment in the classroom carried out with future teachers of the bachelor’s degree in mathematics of 8th semester. Among the most important results is the recognition of renowned philosophers in the development of the history of mathematics. This implied that prospective mathematics teachers had to integrate their mathematical knowledge into the construction of the quadrature of the circle, which at the time was a problem for Hobbes, but with the perspective of modeling mathematical concepts in dynamic geometry, today it is done efficiently.
Highlights
This investigation starts from the fact that within the history of mathematics many philosophers have been included who throughout history have contributed directly or indirectly to the different problems that are touched in the area of mathematical knowledge
This paper aims to present the reconstruction of the arguments offered by Thomas Hobbes about the classic problem of the squareness of the circle in the seventeenth century, from the perspective of the work: De Corpore of the same author
This implied that prospective mathematics teachers had to integrate their mathematical knowledge into the construction of the quadrature of the circle, which at the time was a problem for Hobbes, but with the perspective of modeling mathematical concepts in dynamic geometry, today it is done efficiently
Summary
This investigation starts from the fact that within the history of mathematics many philosophers have been included who throughout history have contributed directly or indirectly to the different problems that are touched in the area of mathematical knowledge. Some of them have gone unnoticed, as in the case of Thomas Hobbes. In his book De Corpore (DC) -1655- he tries to solve the problem of squaring the circle with a ruler and a compass. Due to the lack of adequate tools at the time, he could not solve these classic problems in mathematics and geometry until that moment. Suffice it to say that at the time addressing the problem of squaring the circle was a sample of the intellectual capacity that was had by the mathematicians of the beginnings of modernity. Some authors as John Wallis affirmed that for example in the case of Hobbes this one did not manage to advance by lack of knowledge of geometry, as it proposes it [1]
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