Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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the ground, as well in the one ſhot as in the other: for thus you
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may ſee exactly how much one ſhaft flew farther than the other.</
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* Baleſtrone da
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zoni.</
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<
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>SIMP. </
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<
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>In my thoughts this experiment is very proper: and I
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do not doubt but that the flight, that is, the ſpace between the
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ſhaft and the place where the chariot was at the ſhafts fall, will be
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leſs by much when one ſhooteth towards the chariots courſe, than
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when one ſhooteth the contrary way. </
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>For an example, let the
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flight of it ſelf be three hundred yards, and the courſe of the
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riot in the time whilſt the ſhaft ſtayeth in the air, an hundred
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yards, therefore ſhooting towards the courſe, of the three hundred
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yards of the flight, the chariot will have gone one hundred; ſo
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then at the ſhafts coming to the ground, the ſpace between it and
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the chariot, ſhall be but two hundred yards onely; but on the
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contrary, in the other ſhoot, the chariot running contrary to the
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ſhaft, when the ſhaft ſhall have paſſed its three hundred yards, and
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the chariot its other hundred the contrary way, the diſtance
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poſing ſhall be found to be four hundred yards.</
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<
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>SALV. </
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>Is there any way to ſhoot ſo that theſe flights may be
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equal?</
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>I know no other way, unleſs by making the chariot to
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ſtand ſtill.</
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>This we know; but I mean when the chariot runneth
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in full carreer.</
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<
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>SIMP. </
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>In that caſe you are to draw the Bow higher in
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ing forwards, and to ſlack it in ſhooting the contrary way.</
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<
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>SALV. </
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>Then you ſee that there is one way more. </
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>But how
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much is the bow to be drawn, and how much ſlackened?</
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<
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>SIMP. </
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>In our caſe, where we have ſuppoſed that the bow
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ried three hundred yards, it would be requiſite to draw it ſo, as
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that it might carry four hundred, and in the other to ſlacken it ſo,
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as that it might carry no more than two hundred. </
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<
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>For ſo each
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of the flights would be but three hundred in relation to the chariot,
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the which, with its courſe of an hundred yards which it ſubſtracts
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from the ſhoot of four hundred, and addeth to that of two
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dred, would reduce them both to three hundred.</
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<
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>SALV. </
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>But what effect hath the greater or leſs intenſneſs of the
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bow upon the ſhaft?</
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<
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>SIMP. </
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<
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>The ſtiffer bow carrieth it with greater velocity, and the
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weaker with leſs; and the ſame ſhaft flieth ſo much farther at one
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time than another, with how much greater velocity it goeth out of
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the tiller at one time, than another.</
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<
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>SALV. </
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<
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>So that to make the ſhaft ſhot either way, to flie at
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qual diſtance from the running chariot, it is requiſite, that if in the
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firſt ſhoot of the precedent example, it goeth out of the tiller with
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v. </
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<
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four degrees of velocity, that then in the other ſhoot it </
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