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 indefinable random acute or obtuse angle.

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