Banca de DEFESA: JOSÉ JORGE FERREIRA DOS SANTOS

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : JOSÉ JORGE FERREIRA DOS SANTOS
DATE: 01/12/2023
TIME: 14:00
LOCAL: Sala Virtual da Pós-Graduação
TITLE:

Tangency Problems: a Computer-Aided Algebraic Approach

KEY WORDS:

Algebra of cycles, Tangency problems, GeoGebra, Problem of Apollonius, Descartes' (Kissing Circles) Theorem

PAGES: 44
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Matemática Aplicada
SPECIALTY: Matemática Discreta e Combinatória
SUMMARY:

Tangency problems involving points, lines and circles in the plane, such as the famous Problem of Apollonius, can be formulated and solved, in a conceptually simple way, using nothing more than high school algebra. However, the necessary calculations can be laborious and prone to error, making the algebraic approach less attractive. In this work, we will investigate how the algebra of cycles and a computational algebra system (the GeoGebra CAS Window) can be used to help us solve these problems. We will also see how GeoGebra's visualization capabilities can be used to better understand the relationship between algebra and geometry.

COMMITTEE MEMBERS:
Presidente - 148227 - VINICIUS MOREIRA MELLO
Interna - 1180901 - SIMONE MARIA DE MORAES
Externo à Instituição - MOACYR ALVIM HORTA BARBOSA DA SILVA