*bseries.gif*

This gif retraces, in main outlines, the
discovery of the Cone,

i.e., one of the two principal components in
the geometric plan

of the s.c. Cinderella engraving. The gif's opening
scene features

two circles, plus two symmetric arcs of
another circle (the Cone's

Key, or Top-circle). The two arcs are symmetrical
through their

common centre, which means that when their ends
are cross-

connected by lines, those lines intersect at
the circle's centre.

We could say that the circle unites both arcs.

Next, a line is drawn to show that the centres
of the three

resulting circles form a straight line. This
is the Cone's

central axis.

** Drawing External Tangents To Two,
or More Circles**

A diameter of the top circle gets passed down
to the bottom circle.

Next, a line through the corresponding ends of
the two parallel

diameters intersects the central axis at

the External Centre of Symmetry.

From that point we draw the external tangents
to the circles,

which just happens to work for the third circle,
as well.

The tangents just happen to disperse at 36°,
just like the arms

on a five-pointed star.

*Drawing Internal Tangents Between
Two Circles*

A line through the opposite ends of the two parallel
diameters,

one diameter in each circle - intersects the
central axis at

the Internal Centre of Symmetry of

the two circles. From that point the internal
tangents are drawn.

This point also becomes the center of our experimental
five-

pointed star. There is a Special Effect in that
the line through

the opposite ends of the two parallel diameters,
is visually

identical with a line subtending the ends
of the lower arc

on the top circle.

Moreover, the same line also holds the 36°
angle with the

Square's X-axis. Considering that the Square
is the second

of the two main components of the s.c. Seal of
Atlantis, this

angle promises and delivers more surprises. Check
out the

KXY-star formation at: /kxstar.htm

Hopefully, having seen the above scenes,
the reader agrees

that so far, the Cone formation corresponds to
exact geometric

ideas.