730365
De
[Translation: On ]
[Translation: On ]
That in a finite time an infinite space
may be
may be
It is now convenient
that be in this
that be in this
Suppose the the line et ultra
to be infinite, & the line suppose
to revolve & describe a circle
in a finite time, fro towards
. doth first respect , then ,
after , & so forth successively no poynt
in the infinite line is not unrespected by that time the line cometh
to where then the line is parallel & cutteth not the former
line Now seing that a motion may be of any thing
according to the continuall succession of a poynt, as well in respect
of [???]mobile ab motus Whatsoever may be or not be in
respect of the moment, it maketh no matter: the purpose is
to be infinite, & the line suppose
to revolve & describe a circle
in a finite time, fro towards
. doth first respect , then ,
after , & so forth successively no poynt
in the infinite line is not unrespected by that time the line cometh
to where then the line is parallel & cutteth not the former
line Now seing that a motion may be of any thing
according to the continuall succession of a poynt, as well in respect
of [???]mobile ab motus Whatsoever may be or not be in
respect of the moment, it maketh no matter: the purpose is
Consequentia
Accidentis quædam huius
Accidentis quædam huius
The line having moved till he comes to be that is
parallel to . & so that continuing his motion of
parallel to . & so that continuing his motion of
The lines are parallel but in one
They never cut at an infinite distance but at that instant
they are
And if they cut then, they must ad utrasque partes & then
being right lines there must be no space betwixte them, but
there distance by supposition is more than the line Which
implies
They never cut at an infinite distance but at that instant
they are
And if they cut then, they must ad utrasque partes & then
being right lines there must be no space betwixte them, but
there distance by supposition is more than the line Which
implies
And yet there must be a cutting at an infinite distance or else all
the poyntes of the infinite line could not have been respected. & if
that be not some part of the infinite line, that is some quantity which
it is finite is only & that is at a finite distance; & then it maketh an
angle of quantity at the greatest distance of such cutting: from that cutting the line
by motion came to be parallel: That motion is made in an instant or
in If in time, then in half the time the cutting must be further
than the supposed If in an instant, our line wilbe in two places
two places in one [???] quæ implicant
the poyntes of the infinite line could not have been respected. & if
that be not some part of the infinite line, that is some quantity which
it is finite is only & that is at a finite distance; & then it maketh an
angle of quantity at the greatest distance of such cutting: from that cutting the line
by motion came to be parallel: That motion is made in an instant or
in If in time, then in half the time the cutting must be further
than the supposed If in an instant, our line wilbe in two places
two places in one [???] quæ implicant
The lines therefore must cut at an infinite distance before they come to
be And that must be in time before or in an instant before.
If in time, then in half the time they cut at greater distance than infinite or
are parallel before they are Which both do imply contradiction.
If in an instant before; the two instants are one or If one, implicat.
If two there must be no other betwixt And then there [???] be a time greater
than an instant & lesse than any time of quantity that is indivisible, that is
agayne, indivisible into partes of quantity. & so also like of poyntes &
be And that must be in time before or in an instant before.
If in time, then in half the time they cut at greater distance than infinite or
are parallel before they are Which both do imply contradiction.
If in an instant before; the two instants are one or If one, implicat.
If two there must be no other betwixt And then there [???] be a time greater
than an instant & lesse than any time of quantity that is indivisible, that is
agayne, indivisible into partes of quantity. & so also like of poyntes &