e generall, then onely in Square Pyramis
or Cone: Consider well. Thus, haue I, both Mathematically and
Mechanically, ben very long in wordes: yet (I trust) nothing tedious to
them, who, to these thinges, are well affected. And verily I am forced
(auoiding prolixitie) to omit sundry such things, easie to be practised:
which to the Mathematicien, would be a great Threasure: and to the
Mechanicien, no small gaine.

[* The great Commodities following of these new Inuentions.]

* Now may you, +Betwene two lines giuen, finde two middle proportionals,
in Continuall proportion: by the hollow Parallelipipedon, and the hollow
Pyramis, or Cone.+ Now, any Parallelipipedon rectangle being giuen: thre
right lines may be found, proportionall in any proportion assigned, of
which, shal be produced a Parallelipipedon, aequall to the
Parallelipipedon giuen. Hereof, I noted somwhat, vpon the 36.
proposition, of the 11. boke of _Euclide_. Now, all those thinges, which
_Vitruuius_ in his Architecture, specified hable to be done, by dubbling
of the Cube: Or, by finding of two middle proportionall lines, betwene
two lines giuen, may easely be performed. Now, that Probleme, which I
noted vnto you, in the end of my Addition, vpon the 34. of the 11. boke
of _Euclide_, is proued possible. Now, may any regular body, be
Transformed into an other, &c. Now, any regular body: any Sphere, yea
any Mixt Solid: and (that more is) Irregular Solides, may be made (in
any proportion assigned) like vnto the body, first giuen. Thus, of a
_Manneken_, (as the _Dutch_ Painters terme it) in the same _Symmetrie_,
may a Giant be made: and that, with any gesture, by the Manneken vsed:
and contrarywise. Now, may you, of any Mould, or Modell of a Ship, make
one, of the same Mould (in any assigned proportion) bigger or lesser.

[* ->]

Now, may you, of any * Gunne, or little peece of ordinaunce, make an
other, with the same _Symmetrie_ (in all pointes) as great, and as
little, as you will. Marke that: and thinke on it. Infinitely, +may you
apply this, so long sought for, and now so easily concluded: and
withall, so willingly and frankly communicated to such, as faithfully
deale with vertuous studies.+

[Such is the Fruite of the Mathematicall Sciences and Artes.]

Thus, can the Mathematicall minde, deale Speculatiuely in his own Arte:
and by good meanes, Mount aboue the cloudes and sterres: And thirdly, he
can, by order, Descend, to frame Naturall thinge