Galilei, Galileo
,
The systems of the world
,
1661
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588000000
yards
(
for
ſo
many
are
in
56
diameters
of
the
Earth
)
be
paſſed
?
The
rule
for
this
work
is
,
that
the
third
number
muſt
be
multiplied
by
the
ſquare
of
the
ſecond
,
of
which
doth
come
14700000000,
which
ought
to
be
divided
by
the
firſt
,
that
is
,
by
100,
and
the
root
ſquare
of
the
quotient
,
that
is
, 12124
is
the
number
ſought
,
namely
12124
min.
ſecun.
of
an
hour
,
which
are
3
hours
, 22
min.
prim
.
and
4
ſeconds
.
SAGR.
I
have
ſeen
the
working
,
but
I
know
nothing
of
the
reaſon
for
ſo
working
,
nor
do
I
now
think
it
a
time
to
ask
it
.
SALV.
Yet
I
will
give
it
,
though
you
do
not
ask
it
,
becauſe
it
is
very
eaſie.
Let
us
mark
theſe
three
numbers
with
the
Letters
A
firſt
,
B
ſecond
,
C
[Figure 8]
third
.
A
and
C
are
the
numbers
of
the
ſpaces
,
B
is
the
number
of
the
time
;
the
fourth
number
is
ſought
,
of
the
time
alſo
.
And
becauſe
we
know
,
that
look
what
proportion
the
ſpace
A
,
hath
to
the
ſpuace
C
,
the
ſame
proportion
ſhall
the
ſquare
of
the
time
B
have
to
the
ſqare
of
the
time
,
which
is
ſought
.
Therefore
by
the
Golden
Rule
,
let
the
number
C
be
multi
plied
by
the
ſquare
of
the
number
B
,
and
let
the
product
be
di
vided
by
the
number
A
,
and
the
quotient
ſhall
be
the
ſquare
of
the
number
ſought
,
and
its
ſquare
root
ſhall
be
the
number
it
ſelf
that
is
ſought
.
Now
you
ſee
how
eaſie
it
is
to
be
underſtood
.
SAGR.
So
are
all
truths
,
when
once
they
are
found
out
,
but
the
difficulty
lyeth
in
finding
them
.
I
very
well
apprehend
it
,
and
kindly
thank
you
.
And
if
there
remain
any
other
curioſity
touching
this
point
,
I
pray
you
let
us
hear
it
;
for
if
I
may
ſpeak
my
mind
,
I
will
with
the
favour
of
Simplicius,
that
from
your
diſcourſes
I
al
wayes
learn
ſome
new
motion
,
but
from
thoſe
of
his
Philoſo
phers,
I
do
not
remember
that
I
have
learn
'
t
any
thing
of
mo
ment.
SALV.
There
might
be
much
more
ſaid
touching
theſe
local
motions
;
but
according
to
agreement
,
we
will
reſerve
it
to
a
par
ticular
conference
,
and
for
the
preſent
I
will
ſpeak
ſomething
touching
the
Author
named
by
Simplicius,
who
thinketh
he
hath
given
a
great
advantage
to
the
adverſe
party
in
granting
that
,
that
Canon
bullet
in
falling
from
the
concave
of
the
Moon
may
de
ſcend
with
a
velocity
equal
to
the
velocity
wherewith
it
would
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