be to the first, as the
greater Pyramis or Cone, is to the lesse: by the 33. of the eleuenth of
Euclide. If Pyramis to Pyramis, or Cone to Cone, be double,

[I. D.
= * Hereby, helpe your self to become a praecise practiser.
And so consider, how, nothing at all, you are hindred
(sensibly) by the Conuexitie of the water.=]

then shall * Line to Line, be also double, &c. But, as our first line,
is to the second, so is the Radicall side of our Fundamentall Cube, to
the Radicall side of the Cube to be made, or to be doubled: and
therefore, to those twaine also, a third and a fourth line, in
continuall proportion, ioyned: will geue the fourth line in that
proportion to the first, as our fourth Pyramidall, or Conike line, was
to his first: but that was double, or treble, &c. as the Pyramids or
Cones were, one to an other (as we haue proued) therfore, this fourth,
shalbe also double or treble to the first, as the Pyramids or Cones were
one to an other: But our made Cube, is described of the second in
proportion, of the fower proportionall lines:

[= * By the 33. of the eleuenth booke of Euclide.=]

therfore * as the fourth line, is to the first, so is that Cube, to the
first Cube: and we haue proued the fourth line, to be to the first, as
the Pyramis or Cone, is to the Pyramis or Cone: Wherefore the Cube is to
the Cube, as Pyramis is to Pyramis, or Cone is to Cone.

[I. D.
= * And your diligence in practise, can so (in waight of
water) performe it: Therefore, now, you are able to geue
good reason of your whole doing.=]

But we * Suppose Pyramis to Pyramis, or Cone to Cone, to be double or
treble. &c. Therfore Cube, is to Cube, double, or treble, &c. Which was
to be demonstrated. And of the Parallelipipedon, it is euident, that the
water Solide Parallelipipedons, are one to the other, as their heithes
are, seing they haue one base. Wherfore the Pyramids or Cones, made of
those water Parallelipipedons, are one to the other, as the lines are
(one to the other) betwene which, our proportion was assigned. But the
Cubes made of lines, after the proportion of the Pyramidal or Conik
_homologall_ lines, are one to the other, as the Pyramides or Cones are,
one to the other (as we before did proue) therfore, the Cubes made,
shalbe one to the other, as the lines assigned, are one to the other:
Which was to be demonstrated. Note.

[* _Note this Corollary._]

* This, my Demonstration is mor