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Running head: GOLDEN RATIO 1
Golden Ratio
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Institution

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GOLDEN RATIO 2
Golden Ratio
CHAPTER 1: Introduction
A mathematical theorem is defined as a statement that has been proven by valid and
logical inference within a formula (Chu-Carroll, 2007). Inferences used in proving a theorem,
must be from important axioms of the same theorem. Golden ration is also referred to as divine
proportion. It is not exactly known when golden ratio was discovered but it is believed that it
was discovered and rediscovered throughout history. The first application of golden ratio is not
well known since it was being rediscovered constantly and that different names were used to
refer the ratio. Golden section, golden mean, golden number, divine section, and golden section
are the synonyms used to refer to golden ratio in by different scholars from different regions.
Golden ratio is written as the Greek letter phi whose mathematical symbol is the value of phi
is approximated to be 1.618. The golden ration is a complex equation that any two numbers can
be plugged into. The ratio is in the form:
= = phi.
The answer to the golden ratio is always yield a unique irrational number; therefore
mathematicians believe that this ratio is the most irrational number in mathematics. Mostly, the
numbers that result from calculation of phi are too complex therefore it equation are commonly
graphed. However, the process of graphing equation is difficult. The easiest way to construct
golden ratio is to construct a “1” square and a point is placed halfway through the side of the
square. Then, a line is drawn to the opposite corner from the point and turns it so the line is on
the same side as the dot was previously placed on. Lines are extended to create a golden
rectangle that contains the golden ration within it. Simply, the formula used to create the circle

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Running head: GOLDEN RATIO 1 Golden Ratio Student’s Name Institution GOLDEN RATIO 2 Golden Ratio CHAPTER 1: Introduction A mathematical theorem is defined as a statement that has been proven by valid and logical inference within a formula (Chu-Carroll, 2007). Inferences used in proving a theorem, must be from important axioms of the same theorem. Golden ration is also referred to as divine proportion. It is not exactly known when golden ratio was discovered but it is believed that it was discovered and rediscovered throughout history. The first application of golden ratio is not well known since it was being rediscovered constantly and that different names were used to refer the ratio. Golden section, golden mean, golden number, divine section, and golden section are the synonyms used to refer to golden ratio in by different scholars from different regions. Golden ratio is written as the Greek letter phi whose mathematical symbol is the value of phi is approximated to be 1.618. The golden ration is a complex equation that any two numbers can be plugged into. The ratio is in the form: = = phi. The answer to the golden ratio is always yield a unique irrational number; therefore mathematicians believe that this ratio is the most irrational number in mathematics. Mostly, the numbers that result from calculation of phi are too complex therefore it equation are commonly graphed. However, the process of graphing equation is difficult. The easiest way to construct golden r ...
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