Sunday, March 10, 2013

Golden Ratio,Later Influence

Golden Ratio

"For whenever in any three numbers, whether cube or square, there is a mean, which is to the last term what the first term is to it; and again, when the mean is to the first term as the last term is to the mean—then the mean becoming first and last, and the first and last both becoming means, they will all of them of necessity come to be the same, and having become the same with one another will be all one" (31c - 32a); thereby he implies the aesthetically perfect proportion known as Golden ratio or Golden mean

Later influence

Medieval manuscript of Calcidius' Latin Timaeus translation.The Timaeus was translated into Latin by Cicero,[6] and the first part (to 53c) was again translated by Calcidius circa 321 AD. Calcidius' partial translation of the Timaeus was the only Platonic dialogue, and one of the few works of classical natural philosophy, available to Latin readers in the early Middle Ages. Thus it had a strong influence on medieval Neoplatonic cosmology and was commented on particularly by 12th century Christian philosophers of the Chartres School, such as Thierry of Chartres and William of Conches, who interpreting it in the light of the Christian faith understood the dialogue to refer to a creatio ex nihilo.[7]

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