aled, by sundry _Philosophers_ and _Mathematiciens_.

Both, _Number_ and _Magnitude_, haue a certaine Originall sede, (as it
were) of an incredible property: and of man, neuer hable, Fully, to be
declared. Of _Number_, an Vnit, and of _Magnitude_, a Poynte, doo seeme
to be much like Originall causes: But the diuersitie neuerthelesse, is
great. We defined an _Vnit_, to be a thing Mathematicall Indiuisible:
A Point, likewise, we sayd to be a Mathematicall thing Indiuisible. And
farder, that a Point may haue a certaine determined Situation: that is,
that we may assigne, and prescribe a Point, to be here, there, yonder.
&c. Herein, (behold) our Vnit is free, and can abyde no bondage, or to
be tyed to any place, or seat: diuisible or indiuisible. Agayne, by
reason, a Point may haue a Situation limited to him: a certaine motion,
therfore (to a place, and from a place) is to a Point incident and
appertainyng. But an _Vnit_, can not be imagined to haue any motion.
A Point, by his motion, produceth, Mathematically, a line: (as we sayd
before) which is the first kinde of Magnitudes, and most simple: An
_Vnit_, can not produce any number. A Line, though it be produced of a
Point moued, yet, it doth not consist of pointes: Number, though it be
not produced of an _Vnit_, yet doth it Consist of vnits, as a materiall
cause. But formally,

[Number.]

Number, is the Vnion, and Vnitie of Vnits. Which vnyting and knitting,
is the workemanship of our minde: which, of distinct and discrete Vnits,
maketh a Number: by vniformitie, resulting of a certaine multitude of
Vnits. And so, euery number, may haue his least part, giuen: namely, an
Vnit: But not of a Magnitude, (no, not of a Lyne,) the least part can be
giuen: by cause, infinitly, diuision therof, may be conceiued. All
Magnitude, is either a Line, a Plaine, or a Solid. Which Line, Plaine,
or Solid, of no Sense, can be perceiued, nor exactly by hand (any way)
represented: nor of Nature produced: But, as (by degrees) Number did
come to our perceiuerance: So, by visible formes, we are holpen to
imagine, what our Line Mathematicall, is. What our Point, is. So
precise, are our Magnitudes, that one Line is no broader then an other:
for they haue no bredth: Nor our Plaines haue any thicknes. Nor yet our
Bodies, any weight: be they neuer so large of dimension. Our Bodyes, we
can haue Smaller, then either Arte or Nature can produce any: and
Greater also, then all the world can comprehend