### Notes on the Data

- Book
- At present, we present data
only for Books I, II, III, and IV.
Book V has no catasQI. Data for
Book VI will be added soon.
- Prop
- The propositions are denoted in traditional
form, eg: III.1 means Proposition 1 of Book III.
Elsewhere, we use the notation: p.03.01 for
the same proposition. Each construction comes from
a proposition, but the proposition goes on to
prove that the construction works, ending with
Q.E.F. Other propositions, which are not
constructions, end with Q.E.D.
- Steps
- The number of steps in the construction.
This is an approximation in some cases.
Note that our constructions include all
steps of subroutines, subsubroutines, etc.
Thus we show many more steps of construction
than are found in Euclid, who omits subroutines
altogether.
- Dwgs
- The number of drawings in our visual
exfoliation of this construction of
Euclid, who gives only
one figure for each proposition.
We give one drawing for each step,
plus a few inbetweens. Thus, the
number of drawings is larger than the
number of steps.
- Total
- The total number of drawings
up to the end of this construction,
starting from the first construction
of Book I. Altogether, over 800
drawings for the 38 catasQI of the
first four books, plus 5 alternative
constructions we have interpolated,
in place of the
38 drawings provided by Euclid:
a more than 20X expansion.

Revised 28 September 1997 by Ralph Abraham
<abraham@vismath.org>