Mending our Vessel from the Inside Out


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Posted by Pax*Centurion*News Feb. 16, 2003 (64.12.101.181) on February 16, 2003 at 17:37:04:


* ****Pax*Centurion*News**** *
_____________________________________
Mending our Vessel (from the inside out)
re mathematical theorem of the radical center

Sunday- February 16, 2003

Our planet is beginning to pour into ONE vessel,
albeit still a badly cracked ONE. Perhaps as we
flow inside we become the glue which mends
the fissures?

Intuitively I sense that we are now turning our
Circle inside out and in this way we will find new
answers to our old planetary conundrums.

For reasons of aesthetics and balance I have
been drawn by the theoretical design of the
radical center for the past 4years or so. It
feels like the delicate balance of a Calder Mobile
(which I both intend to create and to paint).

<that contains the center points for all circles
that are orthogonal to both of the given circles.
If the given circles do not intersect, then all of
the orthogonal circles that are centered on
the radical axis intersect each other at the
same two points.>>

(definitions and diagrams below)

Love and heart,
Penny

-----------------------------------------------------------
How to find a common point of view from which we can all share peace:

Click
here: Earliest Known Uses of Some of the Words of Mathematics (R)
mail.mcjh.kl.edu.tw/~chenkwn/mathword/r.html

The expressions RADICAL LINE ("Axe Radical"), RADICAL CENTER OF CIRCLES
("Centre radical des cercles"), and other related terms were coined (in
French) by Louis Gaultier (Julio González Cabillón).

Click
here: ON-LINE MATHEMATICS DICTIONARY
pax.st.usm.edu/cmi/inform_html/glossary.html

radical center
The radical center of three circles is the common point of interesection of
the radical axes of each pair of circles.


Inversion Geometry (and the radical center)
Click
here: Inversion (mathematical theorms, definitions and drawings)
www.nas.com/~kunkel/inversion/inversion.htm

radical center - The radical center of three circles is the center of the
circle that is orthogonal to all three of them. It is the intersection of the
three radical axes formed when the circles are taken in pairs.

radical axis - The radical axis of two circles is the line that contains the
center points for all circles that are orthogonal to both of the given
circles. If the given circles do not intersect, then all of the orthogonal
circles that are centered on the radical axis intersect each other at the
same two points. The radical axis of intersecting circles is their common
secant, and the orthogonal circles do not intersect each other.

An inversion effectively turns the circle inside out. Every point on the
inside goes outside, every point on the outside goes inside, and all of the
points on the circle itself stay put. The only thing unaccounted for is the
center of the circle.
_________________________________________
Weaving The Dream!
a worldwide project for the new millennium
www.ashlandweb.com/millennium.weave
PaxWeave@aol.com



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