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Home > Art, Film & Photography > Irrational Numbers: Golden Ratio, Irrational Number, Square Root of 2, Natural Logarithm of 2, Square Root of 5, Silver Ratio, Apery's Constant
Irrational Numbers: Golden Ratio, Irrational Number, Square Root of 2, Natural Logarithm of 2, Square Root of 5, Silver Ratio, Apery's Constant

Irrational Numbers: Golden Ratio, Irrational Number, Square Root of 2, Natural Logarithm of 2, Square Root of 5, Silver Ratio, Apery's Constant


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 30. Chapters: Golden ratio, Irrational number, Square root of 2, Natural logarithm of 2, Square root of 5, Silver ratio, Apery's constant, Zeta constant, Hippasus, Plastic number, Twelfth root of two, Square root of 3, Copeland-Erd s constant, Omega constant, Prime constant, Erd s-Borwein constant, Trigonometric number. Excerpt: In mathematics and the arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The golden ratio is an irrational mathematical constant, approximately 1.61803398874989. Other names frequently used for the golden ratio are the golden section (Latin: sectio aurea) and golden mean. Other terms encountered include extreme and mean ratio, medial section, divine proportion, divine section (Latin: sectio divina), golden proportion, golden cut, golden number, and mean of Phidias. In this article the golden ratio is denoted by the Greek lowercase letter phi (), while its reciprocal, or, is denoted by the uppercase variant Phi (). The figure on the right illustrates the geometric relationship that defines this constant. Expressed algebraically: This equation has one positive solution in the set of algebraic irrational numbers: At least since the Renaissance, many artists and architects have proportioned their works to approximate the golden ratio-especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter is the golden ratio-believing this proportion to be aesthetically pleasing (see Applications and observations below). Mathematicians have studied the golden ratio because of its unique and interesting properties. The golden ratio is also used in the analysis of financial markets, in strategies such as Fibonacci retracement. Construction of a golden rectangl...


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Product Details
  • ISBN-13: 9781156506912
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 32
  • Spine Width: 2 mm
  • Weight: 77 gr
  • ISBN-10: 1156506913
  • Publisher Date: 04 Sep 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Golden Ratio, Irrational Number, Square Root of 2, Natural Logarithm of 2, Square Root of 5, Silver Ratio, Apery's Constant
  • Width: 189 mm


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