28 Jun 1998
A member of the group asked about the difference
between the two different
representations of midpoints in Ebertin's
(COSI) and Witte's (Rules for
planetary pictures) books of midpoint (and
planetary pictures) interpretations.
In COSI it appears as: A = B/C
which means that planet or personal point A is halfway between
points B and C,
on the dial (meaning it occupies the B/C midpoint, where B and C
are planets or
personal points too). Mathematically, this means, that if we take
positions of the three points A,B,C and calculate the numerical
value of (B+C)/2
we get the numerical value for A (or a zodiacal degree that forms
a hard aspect
to A's position, where a hard aspect is 22.5XN. N is an integer.
For example: 22.5, 45, 67.5, 90, 112.5, 135, 157.5, 180 (degrees)
considered hard aspects). Of course, all this looks much easier
with a 90degrees dial, or a 45degrees dial.
Steve already gave a few examples of such midpoints and their occupants
with their interpretations), from the group's natal chart, in his
In Witte's book the formulaes appear a little
differently (A+B-C), and can be
used in two different manners:
1. Just like in Ebertin's book.
This is a planetary pictures, where the numerical result of using
with three given points will be equal a fourth point in the chart.
One way of dealing with this sum is by putting C in place of the
'?', where we
with a bit of algebra we get:
Then we divide two sides of the equation by 2 and get:
(A+B)/2 = C or C=A/B
This means we can use Witte's fomulas the same way we use Ebertin's
Where we have A+B-C, we can replace it with C=A/B, and use it the
2. Using planetary pictures.
When we analyze a chart we can find a series of midpoints that occupy
point (axis) in the chart (within a given orb). This forms what
we call a
X = A/B = C/D = E/F......and so on.
We can also write this as:
X+X = A+B = C+D = E+F ......
We can also present the tree the following way, to show all the midpoints
share the same axis in the chart:
Here we can extract from the tree any part we wish, for example:
A+B = C+D
Say, we want to find a formula for C. With a bit of simple algebra
We refer to Witte's book and find the interpretation for the formula.
find is actually a description for C, within the given chart (C
is a planet, or
a personal point, as are A,B,D,E,X..)
Other descriptions for C, would be:
E+F-D , X+X-D and so on....
Let's take for example the group's chart.
Say we wish to find descriptions for the Chart's MC (Meridian), which
(in Uranian astrology) the "ego" of the native (the group) per se,
its soul (or
the moment, in an event chart). The MC is considered the most important
the horoscope, its very basic essence.
Let's look for sums that involve the MC as one of the factors.
MC+A (where A is any other point in the chart we choose). Say we
as the other factor. Let us find the Sum MC+SATURN and search for
other pairs of
points that share the same sum (the same midpoint tree, or midpoint
axis). If we
mark the MC/Saturn midpoint on the 90Degrees dial, we can easily
pairs that share the same axis, and the same midpoint.
For example, in the Group's chart we find:
MC/SAturn = VENUS/MERCURY
that we can also wrte as:
MC + Saturn = Venus + Mercury
Giving us the following formula for the MC:
MC = VE+ME-SA (We use abbreviations in Uranian/cosmobiology).
We search for this formulae in Witte's book and find:
"Acquaintance with older or more serious people."
We conclude from this that the group's "so-called 'EGO', or 'I'"
"Acquaintance with older or more serious people."
We then proceed in the same manner to find more formulas for the
descriptions of "the group's intellectual and personal impressions".
Below are a
few examples of what we may find, along with suggested verbal interpretations:
MC (The group's "I") = (equals, has or involves)
"Self-esteem, honor and dignity bring personal joy and happiness."
"Evil things are palliated" (such as the bad interpretations of
"Nice conversations with others."
"A mighty authority"
"A young girl" (well, this is a young group...)
"love of diplomacy" (netiquette ?).
"Act of marriage"
"to recieve benevolence from superiors."
"the independent people. daily consultation hours."
"The person who organizes, plans, copies, leads, supervises..."
(Is this the
list or moderator?)
"The person who appears as an astrologer."
"Thoughts and debates about art and science."
"Mighty artistic mental project."
"Revolutionary creartive person."
"Leader of the people."
"Revolutionary development which suddenly takes form."
"Mentally connected with others in a suprising/innovative/revolutionary
"Innovative/revolutionary powerful astrology."
"Sudden change in the mode of life."
"Mysterious people who suddenly change their approach towards the
"Ability of thinking. The general opinion in relation to the hour."
People inclined toward powerful astrology (science of the past).
Daily nourishment and its influence on growth and development.
That's all for now. I would recommend new members to take
the Group's chart and
apply the method described above to find more formulas for the MC
(there are so
many more). You may use an orb of up to 30 minutes, or 1 degree,
but no more.
This is the best way to practice midpoint work, in my personal opinion.
all benefit if you share your conclusions with the whole group and