TRUE/FALSE Directions: Read each statement below carefully. Place a T if you think a statement, it TRUE. Place an F if you think the statement is FALSE. Explain the answer. 1.) The golden ratio is a mathematical term given to the phenomena of when two lengths, when divided via a formula, is equal to the number phi (). 2.) A golden ratio occurs when the formula equation equals the number phi, which is roughly 1.618033, however, this number has an infinite number of decimal places. 3.) The golden ratio was likely first discovered by mathematicians of Ancient Greece, including Pythagoras and Euclid, and studied by later folk such as the Italian Leonardo Bonacci (Leonardo of Pisa). 4.) Circles can be created via the golden ratio, known as 'golden rectangles', that have sides of a 1:1.618 ratio, and they are widely accepted as being more aesthetically pleasing than rectangles of random sizes.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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TRUE/FALSE Directions: Read each statement below carefully. Place a T if you think a statement, it TRUE. Place an F if you think the statement is FALSE. Explain the answer. 1.) The golden ratio is a mathematical term given to the phenomena of when two lengths, when divided via a formula, is equal to the number phi (). 2.) A golden ratio occurs when the formula equation equals the number phi, which is roughly 1.618033, however, this number has an infinite number of decimal places. 3.) The golden ratio was likely first discovered by mathematicians of Ancient Greece, including Pythagoras and Euclid, and studied by later folk such as the Italian Leonardo Bonacci (Leonardo of Pisa). 4.) Circles can be created via the golden ratio, known as 'golden rectangles', that have sides of a 1:1.618 ratio, and they are widely accepted as being more aesthetically pleasing than rectangles of random sizes.
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