Read the definition of radian and think on it. Others have taken
use of circumscribed and inscribed regular polygons of a circle.
Among them are Ghiaseddin Jamshid Kashani and Viete. They have
made comparisons by summing the lengths of minor hypotenuses and
the lengths of minor tangents that are turned into a long
straight line. Many innovators such as Mascheroni, Pierce,
Lobachevski and Scheppecht have followed the idea of Archimedes
in various ways. Their specific methods can be found in their
works to which those interested may refer. One many conclude
here that all innovators have made effort to make rectilinear
the circumference of a circle so that it is made consistent with
its diameter and the measurement and determination of the
proportion is made possible.
Lindemann rejected the theory of making rectilinear the
circumference of a circle in 1882 and held that the value of (
π)
was impossible to be expressed with a ruler and compasses. This
is a contradictory idea and however, it is beyond the scope of
this pamphlet to discuss it.
The reflection theorems 4 and 5 in Lobachevsky's geometry are
based on turning a straight line to a circle and vice versa.
A work by professor Theodore W. Johnson namely "Engineering
Descriptive Geometry and Drawing", version 1941-USA has on pages
100 and 101 a discussion on making rectilinear a 90- degree are
or
π/2 under which figure 118 has
been provide to illustrate.
On the website you may find the introduction to the aforesaid work and some of the
drawings. Taken as a rejection of Lindemann's theory this method of conversion lacks
a reasoning and it does not provide the related computations. Those interested may
refer to the aforesaid work to consider the other methods it provides. The absence
of reasoning, computation and conclusions in the aforementioned reference as a textbook
then used in academic centers aroused the question by me if the advanced countries
of the world made a secret use of the results of such a precise and correct way
in their sensitive computations without letting the others know about it?
You see: our reasoning is based on a evident principle that says "Circumference
of any equilateral triangle is one and half the circumference of a circle." It has
been said that a wise man will come to find a truth just with a hint.
Our method:
Draw the equilateral triangle ALI with a ruler and compassed. Create its AR height.
Create bisector of the angle ARL so that is intersects the side AL at the point
G. from the point G draw a line vertical to bisector AR at the point S.
You have solved the equation
π = C/D by comparing any
of the three sides of the triangle ALI with the segment Gs. Therefore, the value
(
π) is found with an unprecedented accuracy.
Now you may test this theoretical method on a circle at a diameter measuring 1 meter.
The result will be amazing. Those seeking to find a truth may refer to "What is
π?" a review of invalid past ideas.
The aforesaid unique work is hated by professors of mathematics in universities
and by students who are under domination of their ideas. We are waiting for a future
that will be a witness to the rejection of incorrect theories.
Mathematician and discoverer of
π