„Study case“ or solution ?

„Study case“ or solution ?

Postby Guest » Wed Feb 17, 2021 3:13 am

„The solution of the problem of squaring the circle by compass and straightedge requires the construction of the number √π. If √π is constructible, it follows from standard constructions that π would also be constructible.“
„In 1882, the task was proven to be impossible, as a consequence of the Lindemann –Weierstrass theorem which proves that pi (π) is a transcendental, rather than an algebraic irrational number; that is, it is not the root of any polynomial with rational coefficients.“
From Wikipedia

This Paper was in the study cases category for the first three days:
https://drive.google.com/file/d/1AruLaitcjlSgIUQOUZ8AQlFk8nZun1zn/view?usp=sharing

It is now difficult to find it among hundreds of other…


related to the topic: How people find out pi? ; Area and circumference of a circle
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Re: „Study case“ or solution ?

Postby Guest » Thu Feb 25, 2021 11:24 am

Archimedes value Pi: 22/7

[tex]r=\frac{22}{7}[/tex]
[tex]a=r \sqrt {3,1640625}=\frac{99}{28}\sqrt{\frac{5}{2}}[/tex]


[tex]A=3,1640625(\frac{22}{7})^{2}=31\frac{397}{1568}[/tex]

[tex]A=(\frac{99}{28}\sqrt{\frac{5}{2}})^{2}=31\frac{397}{1568}[/tex]
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