http___livro-ensino-medio.f1cf.com.br_matematica_hr_mathematics-150.html_1.xml
1.1 2.1 2.2 3.1 4.1 5.1 5.2 6.1 6.2 7.1 8.1 9.1 10.1 11.1
Forms in nature When studying the organization of the "living" in some areas of biology, such as botany and zoology, one realizes that it is common to pentagonal shape. An example is the Starfish class Asteroidea which has 5 arms around a central disk. In flowers, for example, it is noted that the number of petals, in most cases, corresponds to one of the terms of the Fibonacci sequence that is: 1, 1, 2, 3, 5, 8, 13 ...; in However, the lily has six petals being an exception to the rule. On the other hand, Fuchsia which features four petals and the famous Lucky Clover has 4 leaves, can be inserted into another sequence, that of Luke: 1, 3, 4, 7, 11, ... François Edouard Anatole Lucas (1842-1891), French mathematician, known for his results in number theory, in particular studied the Fibonacci sequence and the associated sequence of Lucas, so named in his honor. Lucas also established methods for testing primality of numbers. Although the Fibonacci number appears in many situations in nature, one can not say that this is a universal law, it may appear anomalous sequences, which in a biological analysis would only diversity. This sets up a fascinating mainstream. Orange Blossom, Lily, Fuchsia, Clover By observing and studying the shapes found in nature, man has learned many things. He noticed patterns and regularities with bees, for example, and realized that the shape of honeycombs is very good for storing objects with great use of space.
1.1 2.1 2.2 3.1 4.1 5.1 5.2 6.1 6.2 7.1 7.2 8.1 9.1 9.2
Oblici u prirodi Dok je proučavao organizaciju "žive" u nekim područjima biologije, kao što su botanike i zoologije, jedan shvaća da je uobičajeno da pentagonalnog formi. Primjer je Starfish klase Asteroidea koji ima 5 ruke oko središnjeg diska. U cvijeća, primjerice, primijećeno je da je broj latica, u većini slučajeva, odgovara jednom od uvjeta u Fibonacci nizu koji je: 1, 1, 2, 3, 5, 8, 13 ...; u Međutim, Lily ima šest latica biti iznimka od pravila. S druge strane, fuksije koja ima četiri latice i poznati Lucky Clover ima 4 lišće, može se umetnuti u drugom redoslijedu, a to je Luki: 1, 3, 4, 7, 11, ... François Edouard Anatole Lucas (1842-1891), francuski matematičar, poznat po svojim rezultatima u teoriju brojeva, naročito proučavao Fibonacci slijed i pridružene Lucas slijed, tako nazvana u njegovu čast. Lucas je također uspostavljena metoda za ispitivanje primality brojeva. Iako Fibonacci broj pojavljuje u mnogim situacijama u prirodi, ne može se reći da je to univerzalni zakon, on se može pojaviti nepravilne sekvence, koja u biološkom analizi bi samo različitostima. To postavlja fascinantan mainstream. Orange Blossom, Lily, Fuksija, Clover Promatranje i proučavanje oblika nalazimo u prirodi, čovjek je naučio mnogo stvari. Uočio uzorke i regularnosti s pčelama, primjerice, i shvatio da oblik saća je vrlo dobar za pohranu objekata s velikim korištenje prostora.