As construções geométricas via geometria dinâmica do software régua e compasso

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Universidade Federal de Goiás


In this work we revisit the subject Geometric Constructions into ruler and compass, using the dynamic geometry software 'Ruler and Compass' as an auxiliary tool in the teaching and learning of geometry, building examples and suggestions for activities with the software. Brought to the fore the possibility of building into ruler and compass, solutions to several problems that can be presented as algebraic expressions. Yet addressed the possibility of constructing a number, using only ruler and compass and discuss the famous and historical problems of geometrical construction: doubling the cube, squaring the circle and the trisection of the angle. We add appendices which present other possible constructions and also bring suggestions for activities with ruler and compass software. Keywords



Geometria dinâmica, Construções, Régua e compasso, Expressões algébricas, Números construtíveis, Dynamic geometry, Construction, Ruler and compass, Algebraic expressions, Constructible numbers


SILVA, Emerson José da. As construções geométricas via geometria dinâmica do software régua e compasso. 2014.134 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Catalão, 2014.