Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

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SIMP. This I do affirm.

to
a material plane, youapply an imperfect Sphere to an imperfect
plane
, & theſe you ſay do not touch only in one point.
But I muſt
tell
you, that even in abſtract an immaterial Sphere, that is, not a
perfect
Sphere, may touch an immaterial plane, that is, not a
fect
plane, not in one point, but with part of its ſuperficies, ſo that
hitherto
that which falleth out in concrete, doth in like manner
hold
true in abſtract.
And it would be a new thing that the
putations
and rates made in abſtract numbers, ſhould not
wards
anſwer to the Coines of Gold and Silver, and to the
chandizes
in concrete.
But do you know Simplicius, how this
commeth
to paſſe?
Like as to make that the computations agree
with
the Sugars, the Silks, the Wools, it is neceſſary that the
accomptant
reckon his tares of cheſts, bags, and ſuch other things:
So
when the Geometricall Philoſopher would obſerve in concrete
the
effects demonſtrated in abſtract, he muſt defalke the
ments
of the matter, and if he know how to do that, I do aſſure
you
, the things ſhall jump no leſſe exactly, than Arithmstical
computations
.
The errours therefore lyeth neither in abſtract, nor
in
concrete, nor in Geometry, nor in Phyſicks, but in the
tor
, that knoweth not how to adjuſt his accompts.
Therefore if
you
had a perfect Sphere and plane, though they were material,
you
need not doubt but that they would touch onely in one point.
And if ſuch a Sphere was and is impoſſible to be procured, it was
much
beſides the purpoſe to ſay, Quod Sphæra ænea non tangit in
puncto
. Furthermore, if I grant you Simplicius, that in matter a
figure
cannot be procured that is perfectly ſpherical, or perfectly
level
: Do you think there may be had two materiall bodies,
whoſe
ſuperficies in ſome part, and in ſome ſort are incurvated as
irregularly
as can be deſired?

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