Banca de DEFESA: DAMIÃO JEFERSON DE ARAÚJO SOUZA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : DAMIÃO JEFERSON DE ARAÚJO SOUZA
DATE: 30/06/2023
TIME: 14:00
LOCAL: Google Meet
TITLE:

ANALYTICAL DEMONSTRATIONS IN PLANE GEOMETRY

KEY WORDS:

Barycentric Coordinates. Analytical Geometry. Euclidean Geometry.

PAGES: 36
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

This work is based entirely on a scientific article with the same title, written by the authors Damião Jeferson de Araújo Souza, Valdinês Leite de Sousa Júnior and Erica Boizan Batista. In it we present an approach for teaching some properties of plane Euclidean geometry, using concepts and properties of analytic geometry. The authors adopt a method known as barycentric coordinates, introduced by the mathematician Möbius in 1827, which allows solving problems and demonstrating theorems of conventional geometry using area concepts, instead of similarity and congruence of triangles, which are commonly used in basic education in Brazil . Some classic theorems are presented, such as the Inner Bisector Theorem and Ceva’s Theorem, both proved using a purely analytical approach. In addition to exemplifying the use of the method, the work also presents solved problems to help students better understand the concepts presented.

BANKING MEMBERS:
Interna - ERICA BOIZAN BATISTA
Externo à Instituição - GLAUBER MARCIO SILVEIRA PEREIRA - UNIJUAZEIRO
Externo à Instituição - LUCAS VIDAL DE MEIRELES - IF GOIANO
Presidente - VALDINES LEITE DE SOUSA JUNIOR