Leonardo of Pisano Pisa [1170 - 1250] or Fibonacci played an important role in reviving ancient mathematics and made significant contributions of his own. Leonardo Pisano is better known by his nickname 'Fibonacci'. Fibonacci himself sometimes used the name Bigollo, which may mean good-for-nothing or a traveller. Fibonacci was born in Italy but was educated in North Africa where his father, Guilielmo, held a diplomatic post. The Fibonacci Sequences is the following array of numbers. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025… etc...The most significant Fibonacci related numbers are 61.8% and 38.2%. Both of these numbers are related to Phi, the golden number...
61.8% = 1/Phi (1.618033988)
38.2% = 1/Phi Squared
Leonardo Fibonacci died ab1250 Italian mathematician. The elements of the sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, …, each of which, after the second, is the sum of the two previous numbers. These numbers were first noted by the medieval Italian mathematician Leonardo Pisano (“Fibonacci”) in his Liber abaci (1202; “Book of the Abacus”), which also popularized Hindu-Arabic numerals and the decimal number system in Europe. Leonardo of Pisa , original name Leonardo Fibonacci. Liber Abaci (1202) is an historic book on arithmetic by Leonardo of Pisa, known later by his nickname Fibonacci. Its title has two common translations, The Book of the Abacus or The Book of Calculation. Liber Abaci was not the first Western book to describe Hindu-Arabic numerals, the first being by Pope Silvester II in 999, but by addressing tradesmen and academics, it began to convince the public of the superiority of the new numerals. The first section introduces the Hindu-Arabic numeral system. The second section presents examples from commerce, such as conversions of currency and measurements, and calculations of profit and interest. The third section discusses a number of mathematical problems; for instance, it includes (ch. II.12) the Chinese remainder theorem, perfect numbers and Mersenne primes as well as formulas for arithmetic series and for square pyramidal numbers. Another example in this chapter, describing the growth of a population of rabbits, was the origin of the Fibonacci sequence for which the author is most famous today. The fourth section derives approximations, both numerical and geometrical, of irrational numbers such as square roots. The book also includes Euclidean geometric proofs, and a study of simultaneous linear equations following Diophantus, which Fibonacci most likely learned from Arab mathematician al-Karaji (Ore 1948)
The Fibonacci Percentages {0%, 23.6%, [38.2%], 50%, Golden Ratio[61.8%], 76.4%, 100%, 1.272% 1.61.8%, 2.618%} In addition to the ratios described above, many traders also like using the [50%] and [78.6%] levels. The 50% retracement level is not really a Fibonacci ratio.
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