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School contribution: translated the works of Ptolemy which was composed of thirteen books, giving him the title of Almagest ("the greatest", "the Magnificent"). Initially considered an extension of geometry, with the work of the Arab Nasir Edin (1201-1274), trigonometry is treated independently. SEARCH Attention, ask your teacher, or search, which means that "a science X, when it came, was considered as belonging to the domain of another science Y". Incidentally, it is mentioned, here, the Italian Leonardo of Pisa (1175 - 1240), better known as Fibonacci Fibonacci published in 1202, the text Liber Abaci , which had three ways of solution to the same problem: the abacus, with the play of the fingers and the numbers Indo-Arabic numerals. Very popular among the understood about breeding rabbits, he discovered a numerical sequence now known as the "Fibonacci sequence." In this sequence, any number is the sum of the previous two, with the exception of the first two, which are unit: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ... What's interesting in the Fibonacci sequence is that the ratio between two of your consecutive terms is frequently in nature. The seeds of custard apple - the fruit of the pine - are arranged in spirals, one clockwise, the other direction counterclockwise. If we count all the seeds of two intersecting spirals, it is noted that these numbers are in the ratio "to 8 13 ". With lumps of pineapple peel, the reason is "5 to 8". In sunflower, counting the seeds in spirals which originate from a same seed are numbers which are in the ratio "34 to 55". This means that they are, in nature, elements that keep one reason for the sequence: 1/1, 1/2, 2/3, 3/5, 5/8, 8/13, 13/21, 21/34 , 34/55 ... Note that each term in the "Fibonacci sequence" was divided by his successor. Thanks to "Fibonacci sequence" can address issues of the cone seed number, sunflower seeds, leaves of the corn plant type, number of rabbits at a given time, for example. There is, therefore, a study "there "Middle Ages, with applications today in Agriculture, Industry, including, here, the production of oils, paints, meat, clothing, shoes ... We will see now a very interesting relationship: Mathematics and Biology through the "Fibonacci sequence." Incidentally, a teacher could challenge their students questioning the possibility of breeding rabbits develop with advance planning, for example. Geometries
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Škola Doprinos: prevodio je djela Ptolomeja koji se sastoji od trinaest knjiga, daje mu titulu Almagestu ("najveći", "Veličanstveni"). U početku smatra proširenje geometrije, s radom Arapske Nasir Edin (1201-1274), trigonometrije tretira zasebno. TRAŽI Pozornost, pitajte svog učitelja, ili pretraživanje, što znači da je "znanost X, kada je došao, smatralo se da pripada domeni znanstvene drugi Y". Usput, što je spomenuto, ovdje, talijanski Leonardo iz Pise (1175 - 1240), poznatiji kao Fibonacci Fibonacci objavljen u 1202, tekst Liber Abaci , koji je imao tri načina rješenja za isti problem: Abacus, s igrom prstiju i brojevima Indo-arapskim brojevima. Vrlo popularan među razumio o uzgoju kunića, otkrio je brojčani slijed sada poznat kao "Fibonacci nizu." U tom slijedu, bilo koji broj je zbroj prethodna dva, s izuzetkom prve dvije, koje su jedinice: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ... Ono što je zanimljivo u Fibonacci nizu je da je omjer između dva uzastopna mandata svojim je često u prirodi. Sjeme krem jabuka - plod bora - su raspoređeni u spiralama, jedan smjeru kazaljke na satu, drugi smjer kazaljke na satu. Ako ćemo brojati sve sjeme sijeku dvije spirale, primijećeno je da su ti brojevi su u omjeru "do 8. 13 ". S komadića ananasa kore, razlog je "5 do 8". U suncokreta, računajući sjeme u spiralama koje potječu iz iste sjemenke su brojevi koji su u omjeru "34-55". To znači da su, u prirodi, elementi koji drže jedan razlog za redom: 1/1, 1/2, 2/3, 3/5, 5/8, 8/13, 13/21, 21/34 , 34/55 ... Imajte na umu da je svaki termin u "Fibonacci nizu" bila podijeljena njegov nasljednik. Zahvaljujući "Fibonacci nizu" može rješavanja pitanja od broja konus sjemena, sjemena suncokreta, lišće vrsti biljaka kukuruza, broj kunića u određenom trenutku, na primjer. Tu je, dakle, Studija "postoji "srednji vijek, s aplikacijama danas u poljoprivredi, industriji, uključujući, ovdje, proizvodnja ulja, boje, meso, odjeća, obuća ... Vidjet ćemo sada vrlo zanimljiv odnos: ". Fibonacci nizu" matematiku i biologiju kroz Usput, učitelj može osporiti svoje studente koji sumnjaju u mogućnost uzgoja kunića razvije s unaprijed planiranje, primjerice. geometrije