# Divine Trichotomy

by Ioannis Efthimiadis

The second (unsolved problem) of ancient Greeks and not only, with
goniometer and bow compass as we know was, the trichotomy of a
random angle. These there particular problems: **squaring the circle,
angle trichotomy, cube doubling** most people conceptualize them
as (**statistics**) problems and have been trying to find their solution for
2000 years, without a philosophical thought (**consciousness**). What
do these problems mean and symbolize? The **initiate** philosophers
characterized these problems as (**operational**) which means that
they knew in a philosophical depth the explanation of the theory of
cosmogony that are based on the three certain problems...

What they kept secret was that the **squaring circle**, the **angle
trichotomy** and the **cube doubling (Dilion problem)** interpret the
generation of cosmogony, the operation (course), and the eternal
existence of universe...(** GOD**).

__Theorem & proving. I.E. METHOD__

I will reveal below my second job, that of the (**unsolved problems**) of
the ancient, with the ** I.E. method** (Ioannis Efthimiadis), who trisects an

**acute or obtuse angle.**

__indefinable random__I.E. METHOD

We take the part of a straight line AB=2m with centre the O.

Fig. 1

Following we take the vertical part of a straight line ΓΔ=2m

With centre the O.

Fig. 2

With the bow compass we take the radius OA=1m and draw a circle.

Fig. 3

From the centre of the circle O we take a random straight line that intersects the circle on the point E.

Fig. 4

Following we take the chord from the points EB.

Fig. 5

We take the chord from the points EA and continue it.

Fig. 6

Now we take with the bow compass the radius (chord) AE and draw a circle. Where the circle intersects the continuation of the chord EA we have the point Z.

Fig. 7

We continue and take the straight part from the points ZO and continue it. Where it intersects the chord EB we have the point 2.

Fig. 8

Following the dichotomy as we know the part of the chord 2E, the point 3.

Fig. 9

Be careful. We take the radius O2 or O3 and with the bow compass we draw a circle.

Fig. 10

We continue with the bow compass and tale the radius 3E and draw a smaller circle. The smaller circle that intersects the escribed (internal) circle we have the part 4.

Fig. 11

Finally we take with the bow compass the radius 2B and draw a second smaller circle. The second smaller circle that also intersects the escribed (internal) circle we have the point 1.

Fig. 12

In conclusion with the ** I.E. METHOD** we have the trichotomy of an

**indefinable**and

**random**acute angle 4O1.

Fig. 13

**ISBN: 978-618-80540-0-4**