Banca de DEFESA: MANUEL LUIZ BELEM FERNANDES

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : MANUEL LUIZ BELEM FERNANDES
DATA : 28/06/2019
HORA: 14:00
LOCAL: UFCA - JUAZEIRO DO NORTE
TÍTULO:

The Circumference Study - Approaches to Problems of Tangencies

PALAVRAS-CHAVES:

Geometry - Tangency - Circumference - Apollonius

PÁGINAS: 58
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
RESUMO:

Geometry is considered the science of spaces because through it we can visualize abstract concepts with the eyes of the mind. It is able to stimulate a large capacity for deduction and reasoning. In this work, we will focus on the study of tangent circumferences. For this, it is important to know how to find analytically a point of tangency using the equations of the same and how we can study the problem of the circumference tangency using the geometric construction, based in their centers and by means of a common line. In addition, through an analysis of textbooks adopted in basic education we can have a sense of how such works present and develop the study of circumference. In a comparative table, we will observe by means of criteria related to the study of the circumference, that Each book deals with the subject. Focusing on the geometric approach, we will review some fundamental concepts such as the construction of the perpendicular bisector of a segment, the bisector of an angle, a line perpendicular to another among other basic concepts. We will do a study on Apollonius, his history and his contributions to the study of geometry, and some solutions to his problem to find a circumference tangent to three objects, we can work several different ways to construct it. The development of this work will demonstrate that different approaches, analytical or geometric, can lead to the same result and that it is important for the student to have access to and master both for their greater achievement in school.

MEMBROS DA BANCA:
Presidente - 2372129 - ERICA BOIZAN BATISTA
Interno - 2372885 - LEANDRO DA SILVA TAVARES
Interno - 1971654 - VALDINES LEITE DE SOUSA JUNIOR
Externo à Instituição - INGRID SOFIA MEZA SARMIENTO - UFSCAR