Tesis
O problema da trissecção
Fecha
2018-08-27Autor
Dellaquila, Allan Jeronymo
Institución
Resumen
In the history of mathematics some problems had special significance for the influence they
exerted in this development. Among these, we mention the classical Greek problems related
to construction with a non-graduated ruler and compass. In this work we will discuss
these problems, giving special focus to the trisection of the angle. These problems challenged
the intellectual power of many mathematicians and intellectuals for a long time, and it
was only in the nineteenth century that the impossibility of this construction, using only a
non-graduated ruler and compass, was demonstrated. The objective of this work is to present
these problems, to discuss their impossibility of resolution and to present, in the special
case of the trisection problem, possible resolutions using other instruments. We also present
a technique to approach the problem of angle trisection through Origami, which can
be used in the classroom.