a foursquare vpright Pyramis, or
a Cone: perfectly fashioned in the holow, within. Wherin, let great
diligence be vsed, to approche (as nere as may be) to the Mathematicall
perfection of those figures. At their bases, let them be all open: euery
where, els, most close, and iust to. From the vertex, to the
Circumference of the base of the Cone: & to the sides of the base of the
Pyramis:+
[=I. D.=
=The 4. sides of this Pyramis must be 4. Isosceles
Triangles alike and aequall.=]
+Let 4. straight lines be drawen, in the inside of the Cone and Pyramis:
makyng at their fall, on the perimeters of the bases, equall angles on
both sides them selues, with the sayd perimeters. These 4. lines (in the
Pyramis: and as many, in the Cone) diuide: one, in 12. aequall partes:
and an other, in 24. an other, in 60, and an other, in 100. (reckenyng
vp from the vertex.) Or vse other numbers of diuision, as experience
shall teach you.+
[=I. D.=
=* In all workinges with this Pyramis or Cone, Let their
Situations be in all Pointes and Conditions, alike,
or all one: while you are about one Worke. Els you
will erre.=]
+Then, * set your Cone or Pyramis, with the vertex downward,
perpendicularly, in respect of the Base. (Though it be otherwayes, it
hindreth nothyng.) So let them most stedily be stayed.+ Now, if there be
a Cube, which you wold haue Dubbled. Make you a prety Cube of Copper,
Siluer, Lead, Tynne, Wood, Stone, or Bone. Or els make a hollow Cube, or
Cubik coffen, of Copper, Siluer, Tynne, or Wood &c. These, you may so
proportion in respect of your Pyramis or Cone, that the Pyramis or Cone,
will be hable to conteine the waight of them, in water, 3. or 4. times:
at the least: what stuff so euer they be made of. Let not your Solid
angle, at the vertex, be to sharpe: but that the water may come with
ease, to the very vertex, of your hollow Cone or Pyramis. Put one of
your Solid Cubes in a Balance apt: take the waight therof exactly in
water. Powre that water, (without losse) into the hollow Pyramis or
Cone, quietly. Marke in your lines, what numbers the water Cutteth: Take
the waight of the same Cube againe: in the same kinde of water, which
you had before:
[=I. D.=
=* Consider well whan you must put your waters togyther:
and whan, you must empty your first water, out of your
Pyramis or Cone. Els you will erre.=]
put that* also, into the Pyramis or Cone, where you did put the f
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