Resumo da palestra e informações gerais
Transcrição
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
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