SUCCINCT SUMMARY:
-----------------
One of Rashis 10 major goals is to illustrate complex
geometric designs or algebraic complications. This is
called the Rashi method of SPREADSHEETS, since
SPREADSHEETS are one method of clarifying a complex
relationship.  The SPREADSHEET method can refer to
any illustration of a verse that clarifies it.

EXAMPLE Nu33-49a
----------------
Verse Nu33-49a states
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The Jews camped
FROM Beth Yeshimoth
TO Avayl Shitim
--------------------

Rashi comments
---------------------------------------------------
The distance from Beth Yeshimoth to Avayl Shittim
encompasses 12 square mil.  From this we infer that
the Jewish camp encompassed 12 square mil
---------------------------------------------------

LIST690a below summarizes other Rashis using
Spreadsheet methods

EXAMPLE Nu34-08a
----------------
Chapter Nu34 describes the Israel borders
In describing borders 6 terms are used.
In explaining these 6 terms we use clock notation

For example: 9:15 represents a STRAIGHT border from
clock position 3 to clock position 9.

Similarly: 10:15 represents a CROOKED border
starting from clock position 3, going to the
clock center, and TURNING towards 10

Similarly: 3:00 represents a TERMINATING
BORDER starting at clock position 3, going
towards 9 but STOPPED (GOING OUT) at the center
and GOING OUT (Changing direction) to 12

When dealing with the clock recall that
12 = North
6  = South
3  = East
9  = West

Here are the 6 terms used by the Bible
-----------------------------------------------------------
BORDER DEFINITION: TO BE: BORDER is FROM 3 to 9 (9:15)
BORDER CONTINUATION: PASS: Border PASSES from 3 to 9
BORDER TERMINATION: GO OUT: Border GOES out from 3 to 12
BORDER TERMINATION: GOING-OUT: BOrder GOES OUT from 3 to 12
BORDER CROOKEDNESS: Border ROLLS out from 3 to 10
BORDER CROOKEDNESS: ETCH: Border ETCHES from 3 to 10
-----------------------------------------------------------

Two very important points must be made
FIRST: The Biblical text uses other terms for borders
such as DESIRE, DESCEND etc. We only discuss 6 today

SECOND: There are very serious controversies between
e.g. the CAFTOR VAFERACH and other commentaries on what
the original Biblical borders were. We are NOT DECIDING
between these commentators. Rather, we are pointing out
that despite the confusion, there are some basic principles
that all commentators agree with: the meaning of
border-descriptor terms. We feel that pointing out this
commonality among the commentators will make the controversies
appear less arbitrary.

LIST690m below summarizes these 6 terms and indicates,in
the footnotes, Rashis, using these terms.

LIST690a below presents many Rashis based on SPREADSHEETS.

List of                  6 border-description terms*10 *11