726363
De Infinitis
[Translation: On infinite ]
[Translation: On infinite ]
In progressions that be infinite be they increasing or decreasing.
There are these First to a quantity that haveth proportion rate
to the first quantity given, or rather because betwixt positive quantityes
there is a positive rate, I may call that rate infinite either in great-
ness or litleness according to proportion progression, in respect of the first quantity
Yet in respecte of the progression following it is divisible or mul-
tiplicable till the progression being infinite hath for his second passe
also a quantity of an[???] infinite Which is not only infinite in respecte of
the first quantity of the last progression; but infinitely infinite in respect
of of the first in the first And also the summe of the second pro-
gression is infinite infi in respect of the first summe of the first pro-
gression, or the first quantity of
There are these First to a quantity that haveth proportion rate
to the first quantity given, or rather because betwixt positive quantityes
there is a positive rate, I may call that rate infinite either in great-
ness or litleness according to proportion progression, in respect of the first quantity
Yet in respecte of the progression following it is divisible or mul-
tiplicable till the progression being infinite hath for his second passe
also a quantity of an[???] infinite Which is not only infinite in respecte of
the first quantity of the last progression; but infinitely infinite in respect
of of the first in the first And also the summe of the second pro-
gression is infinite infi in respect of the first summe of the first pro-
gression, or the first quantity of
And so a third, fourth & infinite other progressions and passes; of which
any quantity or the summe of all infinitely all, is of an infinite
quantity in greatness of litleness in respect, of the summe or
first quantity of the first
And yet at for a last in decreasing progressions we must needes under-
stand a quantity absolutely indivisible; but multiplicable infinitely
infinite to make the [¿]prime[?] from where the rest are issued till a quantity
absolutely immultiplicable be produced which I may call universally
And in increasing progressions we must needes understand that
at for a last there must be a quantity immultiplicable absolute, but
divisible infinitely infinite till that quantity be issued that is
absolutely
any quantity or the summe of all infinitely all, is of an infinite
quantity in greatness of litleness in respect, of the summe or
first quantity of the first
And yet at for a last in decreasing progressions we must needes under-
stand a quantity absolutely indivisible; but multiplicable infinitely
infinite to make the [¿]prime[?] from where the rest are issued till a quantity
absolutely immultiplicable be produced which I may call universally
And in increasing progressions we must needes understand that
at for a last there must be a quantity immultiplicable absolute, but
divisible infinitely infinite till that quantity be issued that is
absolutely
That such a quantity which I call universally infinite: hath not only
act rationall, by supposition, or by consequence mere supposition: but
also act reall, or existence: in an instant, [???] perfect actuall being,
or in time, passed by motion fini both finite & infinite: with many reall
consequences or properties consequent; & accidents adioyning:
shalbe declared in the papers
act rationall, by supposition, or by consequence mere supposition: but
also act reall, or existence: in an instant, [???] perfect actuall being,
or in time, passed by motion fini both finite & infinite: with many reall
consequences or properties consequent; & accidents adioyning:
shalbe declared in the papers
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