Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

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1the ground, as well in the one ſhot as in the other: for thus you
may ſee exactly how much one ſhaft flew farther than the other.
* Baleſtrone da
zoni.
SIMP. In my thoughts this experiment is very proper: and I
do not doubt but that the flight, that is, the ſpace between the
ſhaft and the place where the chariot was at the ſhafts fall, will be
leſs by much when one ſhooteth towards the chariots courſe, than
when one ſhooteth the contrary way.
For an example, let the
flight of it ſelf be three hundred yards, and the courſe of the
riot in the time whilſt the ſhaft ſtayeth in the air, an hundred
yards, therefore ſhooting towards the courſe, of the three hundred
yards of the flight, the chariot will have gone one hundred; ſo
then at the ſhafts coming to the ground, the ſpace between it and
the chariot, ſhall be but two hundred yards onely; but on the
contrary, in the other ſhoot, the chariot running contrary to the
ſhaft, when the ſhaft ſhall have paſſed its three hundred yards, and
the chariot its other hundred the contrary way, the diſtance
poſing ſhall be found to be four hundred yards.
SALV. Is there any way to ſhoot ſo that theſe flights may be
equal?
SIMP. I know no other way, unleſs by making the chariot to
ſtand ſtill.
SALV. This we know; but I mean when the chariot runneth
in full carreer.
SIMP. In that caſe you are to draw the Bow higher in
ing forwards, and to ſlack it in ſhooting the contrary way.
SALV. Then you ſee that there is one way more. But how
much is the bow to be drawn, and how much ſlackened?
SIMP. In our caſe, where we have ſuppoſed that the bow
ried three hundred yards, it would be requiſite to draw it ſo, as
that it might carry four hundred, and in the other to ſlacken it ſo,
as that it might carry no more than two hundred.
For ſo each
of the flights would be but three hundred in relation to the chariot,
the which, with its courſe of an hundred yards which it ſubſtracts
from the ſhoot of four hundred, and addeth to that of two
dred, would reduce them both to three hundred.
SALV. But what effect hath the greater or leſs intenſneſs of the
bow upon the ſhaft?
SIMP. The ſtiffer bow carrieth it with greater velocity, and the
weaker with leſs; and the ſame ſhaft flieth ſo much farther at one
time than another, with how much greater velocity it goeth out of
the tiller at one time, than another.
SALV. So that to make the ſhaft ſhot either way, to flie at
qual diſtance from the running chariot, it is requiſite, that if in the
firſt ſhoot of the precedent example, it goeth out of the tiller with
v. g. four degrees of velocity, that then in the other ſhoot it