The Parthenon was built in the 5 th century B.C.when the Athenian Empire was influential and models the power and supremacy ofthe empire. The geometricalfigure of the golden ratio is essentially pleasing and easy on the eye.įor instance, consider the Greek’s ancient Parthenonlocated in the Akropolis in Athens, Greece. Appearing in many architecturalstructures, the presence of the golden ratio provided a sense of balance andequilibrium. TheGreeks were aware of the pleasing aesthetics effects of the golden ratio. TheGolden Ratio and Ancient Greek Architecture Even though theGolden Ratio is found in several aspects of culture and science, one canexperience the ratio visibly in structures of ancient and modern architecture. Thisdistinctive ratio can be found in the human body, nature, solar systems, DNA,the stock market, the Bible and theology, music, artwork and design, andarchitecture. TheGolden Ratio and Phi have been used in various geometrical constructionsthroughout history. The Golden Ratio most commonlyconsiders as being thepositive solution, or = 1.618….Ĭonstruction of Golden Rectangle using GSP Alternatively, B is 0.618… of A, and A is 0.618… of C. Referringback to the length of the line segment, C is 1.1618… times the length A, and Ais 1.1618 times the length of B. Given these two values, we define upper case Phi or = 1.618… and lower case phi = 0.618…. There are twosolutions to this equation is and 0.618033988749894848. When using the lastproperty, we can find the value for by using thequadratic equation. (Phi is thesolution to a quadratic equation).(No other numberhas this characteristic).Phi isthe ratio and the threeproperties are as follows: Phi isdefined as an irrational number that has unique properties in mathematics inwhich is the solutionto a quadratic equation. TheGolden Ratio is also referred to as the Golden Rectangle, the Golden Section,the Divine Proportion, and Phi ( ). Therefore, Ais the geometric mean of B and C, and is commonly referred to as the GoldenRatio. It is helpful to picture the line segment as follows: Let C represent the original segment, A the larger division, and B the smaller division. In these terms, the Gold Ratio is a division of a linesegment into two segments that such that the ratio of the original segment tothe larger division is equal to the ratio of the larger division to the smallerdivision. When considering the Golden Ratio, thequantities refer to lengths of line segments. “Two pairsof quantities a, b and c, d are in proportion if their ratios and are equal…” In other words, the two pairs ofquantities are in proportion if the equation holds true. TheColumbia Encyclopedia defines the term ‘proportion’ in mathematics as theequality of two ratios. In order to better understand the Golden Ratio, it ishelpful to have an understanding of the mathematical term proportion.
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