atical)_ Line_. Of which, see my _Hobbius Heauton-timorumenus_,
from _pag._ 114. to p. 119.

And what he now Adds, being to this purpose; That though _Euclid_'s [Greek:
Semeion], which we translate, _a Point_, be not indeed _Nomen Quanti_; yet
cannot this be actually represented by any thing, but what will have some
Magnitude; nor can _a Painter_, no not _Apelles_ himself, draw a _Line_ so
small, but that it will have some Breadth; nor can _Thread_ be spun so
Fine, but that it will have some Bigness; (_pag._ 2, 3, 19, 21.) is nothing
to the Business; For _Euclide_ doth not speak either of such _Points_, or
of such _Lines_.

He should rather have considered of his own Expedient, _pag._ 11. That,
when one of his (_broad_) Lines, passing through one of his (_great_)
Points, is supposed to cut another Line proposed, into two equal parts; we
are to understand, the _Middle of the breadth_ of that Line, passing
through the _middle_ of that Point, to distinguish the Line given into two
equal parts. And he should then have considered further, that _Euclide_, by
a _Line_, means no more than what Mr. _Hobs_ would call _the middle of the
breadth_ of his; and _Euclide_'s _Point_, is but the _Middle_ of Mr.
_Hobs_'s. And then, for the same reason, that Mr. _Hobs_'s _Middle_ must be
said to have no _Magnitude_; (For else, not the _whole Middle_, but the
_Middle of the Middle_, will be _in the Middle_: And, the _Whole_ will not
be equal to its _Two Halves_; but Bigger than _Both_, by so much as the
_Middle_ comes to:) _Euclide_'s _Lines_ must as well be said to have no
Breadth; and his _Points_ no Bigness.

In like manner, When _Euclide_ and others do make the _Terme_ or _End_ of a
Line, a _Point_: If this _Point_ have _Parts_ or _Greatness_, then not the
_Point_, but the _Outer-Half_ of this Point ends the Line, (for, that the
_Inner-Half_ of that Point is not at the End, is manifest, because the
_Outer-Half_ is beyond it:) And again, if that _Outer Half_ have _Parts_
also; not this, but the _Outer_ part of it, and again the _Outer part_ of
that _Outer part_, (and so in _infinitum_.) So that, as long as _Any thing
of Line_ remains, we are not yet at the _End_: And consequently, if we must
have passed the _whole Length_, before we be at the _End_; then that _End_
(or _Punctum terminans_) has _nothing of Length_; (for, when the _whole
Length_ is past, there is nothing of it left.) And if Mr. _Hobs_ tells us
(as _pag._ 3.) that this {29