Banca de DEFESA: RENAN FERNANDES DE MORAES

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : RENAN FERNANDES DE MORAES
DATA : 18/03/2019
HORA: 16:00
LOCAL: UFCA - JUAZEIRO DO NORTE - SALA 27
TÍTULO:

MAXIMIZING AREAS AND MINIMIZING PERIMETERS

PALAVRAS-CHAVES:

Inequality, Euclidean geometry, Isoperimetry, Maximum, Minimum

PÁGINAS: 80
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
RESUMO:

This dissertation aims to describe the maximization of areas with minimization of perime-
ters in Euclidean geometry. We sought to answer five problems of area maximization and

perimeter minimization in triangles and convex polygons, reaching a proof of the isoperi-
metric inequality for polygons. The results contained herein were extracted from articles

[5] and [8]. Aiming to enrich such approaches and ensure a better understanding of what
is presented, we will take a brief approach to Euclidean geometry, seeking to visualize and
understand basic properties of triangles, polygons and circumferences as well as notions
of geometric demonstrations, using results of several authors of great reference in these
subjects . In the end, we worked out some classical problems of maxima and minima in
Euclidean geometry.

MEMBROS DA BANCA:
Presidente - 1971654 - VALDINES LEITE DE SOUSA JUNIOR
Interno - 2372129 - ERICA BOIZAN BATISTA
Interno - 1549923 - MARIA SILVANA ALCANTARA COSTA