_"o" in second "worldly" invisible_]
his most diligent hearers (so infinitely mought [hearers) so]
the boundes, and duety of an Hydrographer [Hydographer]
of the Grekes it is called _Eteromekes_
[_text unchanged: correct form is "Heteromekes"_]
#to hoti# [_Greek printed with incorrect accent_]
in our worldly affaires [wordly]
fall to worke.[[*]].
[_In this place only, the text has an oversized asterisk symbol._]
_Emptying the first._ [Emptyting]
#Apo taute:s te:s he:meras, peri pantos, Archime:dei legonti
pisteuteon# [#he:me:ras ... pisteuteom#]
of the suddeyne [snddeyne]
that the right and absolute way may be had [he had]
Georgic I: [_The quoted segments, each ending in "&c.", are
438-439; 451-457; 463-464._]

Additional Notes:

The Greek letter #e:# (eta) was consistently printed as if it were the
#ou# ligature.
The Latin "-que" was written as an abbreviation resembling "-q';".
It is shown here as [que].

Mathematical symbols seen in the section accompanying the diagrams
could not be reproduced. The following substitutions were made:
--The curly "P" used for "Pounds" is shown as {P}.
--The "potestas" symbol, used to represent "x" (the unknown),
is shown as {x}.
--All roots were expressed as the "root" sign combined with
symbols for the power of 2 (doubled for power of 4, or fourth root)
and 3. They are shown here as [2rt] [3rt] [4rt].

Euclid:

The following Propositions were identified by number.

6.12: (How) to find a fourth (line) proportional to three given straight
lines.

11.34: In equal parallelepipedal solids the bases are reciprocally
proportional to the heights; and those parallelepipedal solids in which
the bases are reciprocally proportional to the heights are equal.

11.36: If three straight lines are proportional, then the
parallelepipedal solid formed out of the three equals the
parallelepipedal solid on the mean which is equilateral, but equiangular
with the aforesaid solid.

12.1: Similar polygons inscribed in circles are to one another as the
squares on their diameters.

12.2: Circles are to one another as the squares on their diameters.

12.18 ("last"): Spheres are to one another in triplicate ratio of their
respective diameters.

End of the Project Gutenberg EBook of The Mathematicall Praeface to Elements
of Geometrie of Euclid of Megara, by John Dee

*** END OF THIS PROJECT GUTE