7/31/2023 0 Comments Fibonacci spiral explained34/55, and is also the number obtained when dividing the extreme portion of a line to the whole. The Golden Section number for phi (φ) is 0.61803 39887…, which correlates to the ratio calculated when one divides a number in the Fibonacci series by its successive number, e.g. He wrote: “One also customarily calls this division of an arbitrary line in two such parts the ‘Golden Section.’” He did not invent the term, however, for he said, “customarily calls,” indicating that the term was a commonly accepted one which he himself used (Livio 6). German mathematician Martin Ohm (brother of physicist Georg Simon Ohm, after whom Ohm’s Law is named) first used the term “Golden Section” to describe this ratio in the second edition of his book, Die Reine Elementar-Mathematik (The Pure Elementary Mathematics) (1835). 490-430 BCE) because he was believed to have used the Golden Ratio in his sculptures and in the design of the Parthenon (Donnegan Livio 5). The Greek letter tau (Ττ) represented the Golden Ratio in mathematics for hundreds of years but recently (early in the 20th century) the ratio was given the symbol phi ( Φ) by American mathematician Mark Barr, who chose the first Greek letter in the name of the great sculptor Phidias (c. It was not until the late seventeenth century that the relationship between Fibonacci numbers and the Golden Ratio was proven (and even then, not fully) by the Scottish mathematician Robert Simson (1687-1768) (Livio 101). It is not evident that Fibonacci made any connection between this ratio and the sequence of numbers that he found in the rabbit problem (“Euclid”). (Previous Section: Phi) Buy Now on AmazonĮuclid’s ancient ratio had been described by many names over the centuries but was first termed “the Golden Ratio” in the nineteenth century. All citations are catalogued on the Citations page. This is an excerpt from Master Fibonacci: The Man Who Changed Math.
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