1ball got to the ground, when the little one is ſtill within leſs than

a yard of the top of the Tower.

a yard of the top of the Tower.

The error of

ſtotle in affirming,

falling grave

dies to move

ding to the

tion of their

ties.

ſtotle in affirming,

falling grave

dies to move

ding to the

tion of their

ties.

SAGR. That this propoſition is moſt falſe, I make no doubt in

the world; but yet that yours is abſolutely true, I cannot well

aſſure my ſelf: nevertheleſs, I believe it, ſeeing that you ſo

ſolutely affirm it; which I am ſure you would not do, if you had

not certain experience, or ſome clear demonſtration thereof.

the world; but yet that yours is abſolutely true, I cannot well

aſſure my ſelf: nevertheleſs, I believe it, ſeeing that you ſo

ſolutely affirm it; which I am ſure you would not do, if you had

not certain experience, or ſome clear demonſtration thereof.

SALV. I have both: and when we ſhall handle the buſineſs

of motions apart, I will communicate them: in the interim, that

we may have no more occaſions of interrupting our diſcourſe, we

will ſuppoſe, that we are to make our computation upon a ball of

Iron of an hundred (a) pounds, the which by reiterated

ments deſcendeth from the altitude of an hundred (b) yards, in

five ſecond-minutes of an hour. And becauſe, as we have ſaid,

the ſpaces that are meaſured by the cadent moveable, increaſe in

double proportion; that is, according to the ſquares of the times,

being that the time of one firſt-minute is duodecuple to the time

of five ſeconds, if we multiply the hundred yards by the ſquare of

12, that is by 144, we ſhall have 14400, which ſhall be the

ber of yards that the ſame moveable ſhall paſs in one firſt-minute

of an hour: and following the ſame rule becauſe one hour is 60

minutes, multiplying 14400, the number of yards paſt in one

nute, by the ſquare of 60, that is, by 3600, there ſhall come forth

51840000, the number of yards to be paſſed in an hour, which

make 17280 miles. And deſiring to know the ſpace that the ſaid

ball would paſs in 4 hours, let us multiply 17280 by 16, (which

is the ſquare of 4) and the product will be 276480 miles: which

number is much greater than the diſtance from the Lunar concave

to the centre of the Earth, which is but 196000 miles, making the

diſtance of the concave 56 ſemidiameters of the Earth, as that

dern Author doth; and the ſemidiameter of the Earth 3500 miles,

of 3000 ^{*}Braces to a †mile, which are our Italian miles.

of motions apart, I will communicate them: in the interim, that

we may have no more occaſions of interrupting our diſcourſe, we

will ſuppoſe, that we are to make our computation upon a ball of

Iron of an hundred (a) pounds, the which by reiterated

ments deſcendeth from the altitude of an hundred (b) yards, in

five ſecond-minutes of an hour. And becauſe, as we have ſaid,

the ſpaces that are meaſured by the cadent moveable, increaſe in

double proportion; that is, according to the ſquares of the times,

being that the time of one firſt-minute is duodecuple to the time

of five ſeconds, if we multiply the hundred yards by the ſquare of

12, that is by 144, we ſhall have 14400, which ſhall be the

ber of yards that the ſame moveable ſhall paſs in one firſt-minute

of an hour: and following the ſame rule becauſe one hour is 60

minutes, multiplying 14400, the number of yards paſt in one

nute, by the ſquare of 60, that is, by 3600, there ſhall come forth

51840000, the number of yards to be paſſed in an hour, which

make 17280 miles. And deſiring to know the ſpace that the ſaid

ball would paſs in 4 hours, let us multiply 17280 by 16, (which

is the ſquare of 4) and the product will be 276480 miles: which

number is much greater than the diſtance from the Lunar concave

to the centre of the Earth, which is but 196000 miles, making the

diſtance of the concave 56 ſemidiameters of the Earth, as that

dern Author doth; and the ſemidiameter of the Earth 3500 miles,

of 3000 ^{*}Braces to a †mile, which are our Italian miles.

(a) (b) Note that

theſe Calculations

are made in

an weights and

meaſures. And 100

pounds

poiſe make 131 l.

Florentine. And

100 Engliſh yards

makes 150 2/5 Braces

Florent. ſo that the

brace or yard of

our Author is 3/4

of cur yard.

theſe Calculations

are made in

an weights and

meaſures. And 100

pounds

poiſe make 131 l.

Florentine. And

100 Engliſh yards

makes 150 2/5 Braces

Florent. ſo that the

brace or yard of

our Author is 3/4

of cur yard.

* The Italian

ſure which I

monly tranſl te

yards.

ſure which I

monly tranſl te

yards.

Therefore, Simplicius, that ſpace from the concave of the Moon

to the centre of the Earth, which your Accomptant ſaid could

not be paſſed under more than ſix days, you ſee that (computing

by experience, and not upon the fingers ends) that it ſhall be

ſed in much leſs than four hours; and making the computation

exact, it ſhall be paſſed by the moveable in 3 hours, 22 min. prim.

and 4 ſeconds.

to the centre of the Earth, which your Accomptant ſaid could

not be paſſed under more than ſix days, you ſee that (computing

by experience, and not upon the fingers ends) that it ſhall be

ſed in much leſs than four hours; and making the computation

exact, it ſhall be paſſed by the moveable in 3 hours, 22 min. prim.

and 4 ſeconds.

† The Italian mile

is 1000/1056 of our mile.

is 1000/1056 of our mile.

SAGR. I beſeech you, dear Sir, do not defraud me of this

act calculation, for it muſt needs be very excellent.

act calculation, for it muſt needs be very excellent.

SALV. So indeed it is: therefore having (as I have ſaid) by

diligent tryal obſerved, that ſuch a moveable paſſeth in its deſcent,

the height of 100 yards in 5 ſeconds of an hour, we will ſay, if

100 yards are paſſed in 5 ſeconds; in how many ſeconds ſhall

diligent tryal obſerved, that ſuch a moveable paſſeth in its deſcent,

the height of 100 yards in 5 ſeconds of an hour, we will ſay, if

100 yards are paſſed in 5 ſeconds; in how many ſeconds ſhall