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QUADRATURE A CIRCLE ─ A COSMOLOGICAL TASK AND A WAY TO SOLVE IT

Authors

Avdeev Vladimir Vasilyevich

Rubric:Mathematics
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Annotation

A method is given for solving the quadrature of a circle ─ a task of ancient Greek mathematics for constructing using a compass and a ruler without divisions. It is based on the principles of building a cosmological model of the Universe of Light. It has been established that the construction of a square, equal in area to a given circle, is a two-dimensional display of the metaphysical connection between the sphere of the Universe and hypercube, in volume, generated by it. Alternative formulas

are given to determine the area of a circle and the volume of a sphere by calculating their equal square and hypercube, respectively. These formulas are based on an analogy that can be traced between the quadrature of a circle and the trigonometric circle, in which trigonometric functions determine the relationship between the sides and the angle of a right triangle. It is this triangle, emanating from the center of the circle, which underlies the construction of the square.

Keywords

quadrature the circle
hypercube
pyramid of Cheops
cosmological model of the Universe of Light

Authors

Avdeev Vladimir Vasilyevich

References:

1. Avdeev V.V. Universe of Light: two keys to the secrets of the Universe.−  Ekaterinburg: Ridero, 2018. − 583 p.

2. Depman I.Ya. π winner ─ Ferdinand Lindeman//Scientific Notes of the Pedagogical Institute named after A.I. Herze.− St. Petersburg, 1957.− T. 2.−№ 17 − P. 119−123.    

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