Golden ratio - Wikipedia
In a regular pentagon the ratio of a diagonal to a side is the golden ratio, while intersecting diagonals section each other in the golden ratio. The golden ratio properties of a regular pentagon can be confirmed by applying Ptolemy's theorem to …
Geometric constructions of Phi in Circles - The Golden Ratio ...
2012年5月13日 · There are a number of geometric constructions using a circle which produce phi relationships, as described below. Among mathematicians, there’s a bit of a competition to see how few lines can be used to create a phi proportion, or golden section, in the construction, or how many golden sections can be created with the least number of lines.
Golden Ratio - Definition, Symbol, Formula, & Examples
2024年4月13日 · Golden Ratio, Golden Mean, Golden Section, or Divine Proportion refers to the ratio between two quantities such that the ratio of their sum to the larger of the two quantities is approximately equal to 1.618.
9 Examples of the Golden Ratio in Nature + Definitions
2024年7月25日 · What Is the Golden Ratio? The golden ratio, represented by the Greek letter phi (Φ), is a special number approximately equal to 1.618033988749895. The golden ratio is also known as the divine proportion, the golden mean, or the golden section.
Golden Ratio Calculator
This golden ratio calculator helps you to find the lengths of the segments which form the beautiful, divine golden ratio.
Golden Ratio - Math is Fun
The golden ratio (symbol is the Greek letter "phi" shown at left) is a special number approximately equal to 1.618. It appears many times in geometry, art, architecture and other areas. The Idea Behind It
Golden ratio properties, appearances and applications overview
2015年7月12日 · Overview of the Golden Ratio's unique properties in math and geometry, appearances in nature and applications by mankind for aesthetics in art and design.