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  • Golden ratio - Wikipedia

    In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their .... Using the quadratic formula, two solutions are obtained:.

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  • Golden spiral - Wikipedia

    In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. That is, a golden spiral gets wider by a factor of φ for every quarter...

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  • Logarithmic Spiral -- from Wolfram MathWorld

    The logarithmic spiral is a spiral whose polar equation is given by ... The logarithmic spiral is also known as the growth spiral, equiangular spiral, and spira...

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  • Download full text pdf - De Gruyter

    red by rubber, followed by plywood, aluminum, and galvanized ... It is Turkish name is known as ... green initially, turns to yellow and golden yellow as it matu- .... Bulk density (rb) is the ratio of grain mass to the volume ..... Coefficient of static friction of bitter gourd seed. Surface. Regression equations. R2. Rubber mru c. M. =.

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  • Golden Spiral - Interactive Mathematics

    Sep 4, 2011 ... Golden Spirals involve a lot of interesting math, from exponential curves to ... The formula for a logarithmic spiral using polar coordinates is:.

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  • The Nautilus shell spiral as a golden spiral - Golden Number (.net)

    Feb 8, 2014 ... It's closer to one that expands by a golden ratio every 180 degrees. ... Nautilus shell spirals may have phi proportions, but not as you may have heard. ..... of line, shape and pattern of nature and a mathematical equation.

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