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Squaring the circle

The purpose is to draw a square whose surface is equal to a circle.
If one chooses a circle whose ray is the unit, it is necessary to trace a square whose side is equal to Pisince the surface of the circle is equal to Pi.

Quadrature du cercle : etape 1

First Part : Geometrical construction of the number Pi (Kochansky method)

Demonstration :

Second part : geometrical construction ofPi

Quadrature du cercle : étape 2

Demonstration :

Triangles MFL and LHM are right-angled and similar : LH/HM = FH/LH

Consequently  :

Conclusion :

The surface of the square LPNH whose side is equal tois close to surface equal toof the circle centered on H and of radius HM = 1.

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