orking as before I haue taught you:

[* -> Note.]

* sauing that for you Fundamentall Cube his Radicall side: here, you may
take a right line, at pleasure."

Yet farther proceding with our droppe of Naturall truth:

[To giue Cubes one to the other in any proportion,
Rationall or Irrationall.]

+you may (now) geue Cubes, one to the other, in any proportion geuen:
Rationall or Irrationall+: on this maner. Make a hollow Parallelipipedon
of Copper or Tinne: with one Base wanting, or open: as in our Cubike
Coffen. From the bottome of that Parallelipipedon, raise vp, many
perpendiculars, in euery of his fower sides. Now if any proportion be
assigned you, in right lines: Cut one of your perpendiculars (or a line
equall to it, or lesse then it) likewise: by the 10. of the sixth of
Euclide. And those two partes, set in two sundry lines of those
perpendiculars (or you may set them both, in one line) making their
beginninges, to be, at the base: and so their lengthes to extend vpward.
Now, set your hollow Parallelipipedon, vpright, perpendicularly,
steadie. Poure in water, handsomly, to the heith of your shorter line.
Poure that water, into the hollow Pyramis or Cone. Marke the place of
the rising. Settle your hollow Parallelipipedon againe. Poure water into
it: vnto the heith of the second line, exactly.

[* Emptying the first.]

Poure that water * duely into the hollow Pyramis or Cone: Marke now
againe, where the water cutteth the same line which you marked before.
For, there, as the first marked line, is to the second: So shall the two
Radicall sides be, one to the other, of any two Cubes: which, in their
Soliditie, shall haue the same proportion, which was at the first
assigned: were it Rationall or Irrationall.

Thus, in sundry waies you may furnishe your selfe with such straunge and
profitable matter: which, long hath bene wished for. And though it be
Naturally done and Mechanically: yet hath it a good Demonstration
Mathematicall.

[=The demonstrations of this Dubbling of the Cube, and of the
rest.=]

Which is this: Alwaies, you haue two Like Pyramids: or two Like Cones,
in the proportions assigned: and like Pyramids or Cones, are in
proportion, one to the other, in the proportion of their Homologall
sides (or lines) tripled. Wherefore, if to the first, and second lines,
found in your hollow Pyramis or Cone, you ioyne a third and a fourth, in
continuall proportion: that fourth line, shall