Dynamic geometry and square of the circle in Thomas Hobbes

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.

Virtual education in the Colombian context: teaching practices in public and private education

“…For this, constructions were designed with dynamic geometry software called Geogebra which allows constructions to be made online or by downloading the application, without limiting its free resources. This resource has privileged the use of c characterization of new Applets (applications built within the resource) which allow us to see geometric objects in 2D and 3D, for example, the square of the circle through software (Flórez-Pabón, 2020). On some occa for the identification of the resource and primary constructions of known elements, these are elaborated with the Screen Recorder Launcher.…”