necessity and obviousness as a fluid body encompast with a _Heterogeneous_
fluid must be protruded into a _Spherule_ or _Globe_. And this I have _ad
oculum_ demonstrated with a company of bullets, and some few other very
simple bodies; so that there was not any regular Figure, which I have
hitherto met withall, of any of those bodies that I have above named, that
I could not with the composition of bullets or globules, and one or two
other bodies, imitate, even almost by shaking them together. And thus for
instance may we find that the _Globular_ bullets will of themselves, if put
on an inclining plain, so that they may run together, naturally run into a
_triangular_ order, composing all the variety of figures that can be
imagin'd to be made out of _aequilateral triangles_; and such will you
find, upon trial, all the Surfaces of _Alum_ to be compos'd of: For three
bullets lying on a plain, as close to one another as they can compose an
_aequilatero-triangular_ form, as in A in the 7. _Scheme_. If a fourth be
joyn'd to them on either side as closely as it can, they four compose the
most regular Rhombus consisting of two _aequilateral triangles_, as B. If a
fifth be joyn'd to them on either side in as close a position as it can,
which is the propriety of the _Texture_, it makes a _Trapezium_, or
four-sided Figure, two of whole angles are 120. and two 60. degrees, as C.
If a sixth be added, as before, either it makes an _aequilateral triangle_,
as D, or a Rhomboeid, as E, or an _Hex-angular Figure_, as F, which is
compos'd of two _primary Rhombes_. If a seventh be added, it makes either
an _aequilatero-hexagonal_ Figure, as G, or some kind of six-sided
_Figure_, as H, or I. And though there be never so many placed together,
they may be rang'd into some of these lately mentioned Figures, all the
angles of which will be either _60_. degrees, or 120. as the figure K.
which is an _aequiangular hexagonal_ Figure is compounded of 12.
_Globules_, or may be of 25, or 27, or 36, or 42, &c. and by these kinds of
texture, or position of globular bodies, may you find out all the variety
of regular shapes, into which the smooth surfaces of _Alum_ are form'd, as
upon examination any one may easily find; nor does it hold only in
superficies, but in solidity also, for it's obvious that a fourth _Globule_
laid upon the third in this texture, composes a regular _Tetrahedron_,
which is a very usual Figure of the _Crystals_ of _Alum_. And (to has
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