Tag Archives: Pythagorean Philosophy

PYTHIAS AGOREUSIS ETEKEN PYTHAGORAN (3TEL)

(BEING CONTINUED FROM  15/08/2016) The Pythagorean Pentagram First we need to construct the golden section. The geometric construction, the only kind accepted, is illustrated below. Assume the square ABCE has side length a. Bisecting DC at E construct the diagonal … Continue reading

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PYTHIAS AGOREUSIS ETEKEN PYTHAGORAN (2)

(BEING CONTINUED FROM  9/10/2015) The Pentagonal and Hexagonal numbers are shown in the graphs below. Note that the sequences have sums given by and Similarly, polygonal numbers of all orders are dsignated; this process can be extended to three dimensional … Continue reading

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PYTHIAS AGOREUSIS ETEKEN PYTHAGORAN (1)

Pythagoras and the Pythagoreans Historically, Pythagoras means much more that the familiar theorem about right triangles. The philosophy of Pythagoras and his school has impacted the very fiber of mathematics and physics, even the western tradition of liberal education no … Continue reading

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