Resumo da palestra e informações gerais

Paalestrra
“Golden secttion in mathemat
m
tics, natu
ure and arrt”
c
Professor M
Mirna Rodic Lipanovic (U
University oof Zagreb).
Confferencista convidado:
Desttinatários: Docentes
D
da
as áreas das artes e matemática e pú
úblico em geeral.
Cond
dições de accesso: entra
ada gratuitaa, mediante inscrição
i
prévia em cdaa.uma.pt.
Inscrrições: até 21
2 maio de 2014,
2
12h00
0.
Data
as de realiza
ação (particcipantes pod
dem optar por
p uma das duas opçõees disponíveis):
- Sessão 1: 21 de maio de 2014, 16h00, Salaa do Senado (Ed. da Pentteada)
- Sessão 2: 22 de maio de 2014
4, 18h30, Au
uditório do Colégio doss Jesuítas (E
Ed. do
Castanheeiro).
Conttacto: [email protected].
RES
SUMO
“Gold
den sectio
on in math
hematics, nature an
nd art” by
y Mirna Ro
odic Lipan
novic,
Univ
versity of Za
agreb
“Geometrry has two great treasu
ures: one iss the theore
em of Pythaagoras; the other,
o
the divission of a liine into exxtreme and mean ratio
o (nowadayys called Golden
Section). The first we
w may comp
pare to a meeasure of gold; the seconnd we may name
a preciou
us jewel.”
Joh
hannes Kepller (1571.-1
1630.)
G
mean, also calleed Divine or Golden Ratiio, or, as Keppler said – one
o of
Goldeen section, Golden
two ggreat treasu
ures of geom
metry – was aalready kno
own in ancie
ent times. Euuclid (Greecce, 4th
Centu
ury BC) in his
h Elementts mentions this ratio – he called it
i “the divission into exttreme
and m
mean ratio”.. When digging the ruin
ns of Pompeiii (the town in south Itaaly, devastatted by
Colégio dos Jessuítas - Rua dos Ferreiros - 9000
0-082, Funchal | Campus Unive
ersitário da Pen
nteada - 9020-1005, Funchal
Tel: +351 291 2
209 400/+351 291 705 000 | Fax: +351 291 209
9 410 | E-mail: gabinetedareitor
g
[email protected]
Sítio: www.umaa.pt
Pág. 1
erupttion of volccano in 1stt Century A
AD) archaeo
ologists found a kind of tool use
ed for
consttruction an
nd measurement of the golden section – the so called “g
golden
comp
pass/dividerr”. Golden section is oftten found in
n the forms of the grow
wth in nature
e, and
appliied in fine arts
a and arch
hitecture off different periods, and it has intriggued and th
hrilled
the aartists, philosophers, bio
ologists and mathematicians, for ce
enturies.
How to divide the
t line-segm
ment in gol den section
n? What are the goldenn triangle, golden
g
rectaangle and go
olden spirall? What hass the regulaar pentagon to do withh golden secction?
Whatt is the conn
nection of Fiibonacci num
mbers and Golden
G
section? – Thesee are some of the
questtions that we
w are going
g to answer.. And also, we
w are going
g to see num
merous exam
mples
of Go
olden section
n and Fibonacci numbe rs in naturee and in arts and architeecture.
Colégio dos Jessuítas - Rua dos Ferreiros - 9000
0-082, Funchal | Campus Unive
ersitário da Pen
nteada - 9020-1005, Funchal
Tel: +351 291 2
209 400/+351 291 705 000 | Fax: +351 291 209
9 410 | E-mail: gabinetedareitor
g
[email protected]
Sítio: www.umaa.pt
Pág. 2