![]() In terms of present day algebra, letting the length of the shorter segment be one unit and the length of the longer segment be x units gives rise to the equation ( x + 1)/ x = x/1 this may be rearranged to form the quadratic equation x 2 – x – 1 = 0, for which the positive solution is x = (1 + Square root of √ 5)/2, the golden ratio. The origin of this number can be traced back to Euclid, who mentions it as the “extreme and mean ratio” in the Elements. It is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the ratio of the longer segment to the shorter segment. Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of √ 5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618. SpaceNext50 Britannica presents SpaceNext50, From the race to the Moon to space stewardship, we explore a wide range of subjects that feed our curiosity about space!.Learn about the major environmental problems facing our planet and what can be done about them! Saving Earth Britannica Presents Earth’s To-Do List for the 21st Century.Britannica Beyond We’ve created a new place where questions are at the center of learning.100 Women Britannica celebrates the centennial of the Nineteenth Amendment, highlighting suffragists and history-making politicians.COVID-19 Portal While this global health crisis continues to evolve, it can be useful to look to past pandemics to better understand how to respond today. ![]() Student Portal Britannica is the ultimate student resource for key school subjects like history, government, literature, and more.Demystified Videos In Demystified, Britannica has all the answers to your burning questions.This Time in History In these videos, find out what happened this month (or any month!) in history.#WTFact Videos In #WTFact Britannica shares some of the most bizarre facts we can find.Britannica Classics Check out these retro videos from Encyclopedia Britannica’s archives.Britannica Explains In these videos, Britannica explains a variety of topics and answers frequently asked questions.Regardless if it is sacred or just an amazing coincidence of mathematics, the Greeks revered this ratio and used it in cubic architecture to represent kingship, philosophy and wisdom. However, others have stated that the relationships associated with the Golden Ratio are coincidence and exaggerations. To some, The Golden Ratio is considered sacred due to its relationship to nature, music, beauty, poetry, art and even the construction of the universe and the human body. It is important to know that the geometrical shapes of the rectangle, triangle and spiral get their “golden” name when they have properties that connect them back to the Golden Ratio. Finally, there is the Golden Spiral which grows logarithmically. When an isosceles triangle has the ratio of the leg a to base b in the Golden Ratio, it is called a Golden Triangle. An interesting aspect of the Golden Rectangle is that if you cut out a square starting from one of the short sides of the Golden Rectangle you will have another Golden Rectangle. The Golden Rectangle refers to a rectangle with a short to long side ratio of 1: 1.618. When the ratio is used in cubic geometry, it is called the Golden Section. Sometimes the Golden Ratio is called by other names such as the Golden Proportion, Divine Proportion, Divine Section, Golden Number or Golden Mean. The Golden Ratio is an irrational number that is approximately equal to 1.618 and is represented by the Greek symbol knows as “phi”. The showcase included an educational presentation on the golden ratio, an art exhibit featuring masks inspired by Greek mythology created by students with autism, and a performance by dancers from Movement Connection, a dance troupe composed of young people with Down syndrome and autism. He also developed a classroom guide for educators and a showcase event at the Parthenon in Nashville featuring performers and artists from VSA Tennessee. During his study, Christian examined the application of the ratio in architecture, music, poetry, and art. The Golden Ratio Project was created by high school student Christian Kissinger as a senior project. Click here to view the entire curriculum guide.
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