Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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Projects
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nue their motion
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by the right line
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that followeth the
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direction of the
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motion, made
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gether with the
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projicient, whil'ſt
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they were conjoin'd
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therewith.
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<
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>SIMP. </
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<
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>So it is, in my opinion.</
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<
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>SAGR. </
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<
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>Now imagine the cylinder to be erected, and that the
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Earth doth revolve about with a diurnal motion, carrying the
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piece along with it, tell me what ſhall be the motion of the ball
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within the cylinder, having given fire?</
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<
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>SIMP. </
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<
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>It ſhall be a ſtreight and perpendicular motion, the
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der being erected perpendicularly.</
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<
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>SAGR. </
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<
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>Conſider well what you ſay: for I believe that it will
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not be perpendicular. </
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<
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>It would indeed be perpendicular, if the
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Earth ſtood ſtill, for ſo the ball would have no other motion but
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that proceeding from the fire. </
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<
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>But in caſe the Earth turns round,
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the ball that is in the piece, hath likewiſe a diurnal motion, ſo
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that there being added to the ſame the impulſe of the fire, it
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veth from the breech of the piece to the muzzle with two motions,
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from the compoſition whereof it cometh to paſſe that the motion
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made by the centre of the balls gravity is an inclining line. </
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<
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>And
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for your clearer underſtanding the ſame, let the piece A C [
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in
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Fig.
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2.] be erected, and in it the ball B; it is manifeſt, that the
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piece ſtanding immoveable, and fire being given to it, the ball
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will make its way out by the mouth A, and with its centre,
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ſing thorow the the piece, ſhall have deſcribed the perpendicular
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line B A, and it ſhall purſue that rectitude when it is out of the
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piece, moving toward the Zenith. </
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<
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>But in caſe the Earth ſhould
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move round, and conſequently carry the piece along with it, in
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the time that the ball driven out of the piece ſhall move along
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the cylinder, the piece being carried by the Earth, ſhall paſſe
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to the ſituation D E, and the ball B, in going off, would be at
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the corniſh D, and the motion of the bals centre, would have
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been according to the line B D, no longer perpendicular, but
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clining towards the Eaſt; and the ball (as hath been concluded)
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being to continue its motion through the air, according to the
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direction of the motion made in the piece, the ſaid motion ſhall
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continue on according to the inclination of the line B D, and ſo
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ſhall no longer be perpendicular, but inclined towards the Eaſt,
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to which part the piece doth alſo move; whereupon the ball may
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follow the motion of the Eerth, and of the piece. </
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>
<
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>Now
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Simplicius,
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you ſee it demonſtrated, that the Range which you took to be
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perpendicular, is not ſo.</
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The revolution
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of the Earth
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poſed, the ball in
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the piece erected
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perpendicularly,
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doth not move by a
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perpendicular, but
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an inclined line.
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<
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>SIMP. </
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<
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>I do not very well underſtand this buſineſs; do you,
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Salviatus
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?</
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<
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<
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>SALV. </
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>
<
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>I apprehend it in part; but I have a certain kind of
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ſcruple, which I wiſh I knew how to expreſs. </
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>
<
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>It ſeems to me, that
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according to what hath been ſaid, if the Piece be erected
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dicular, and the Earth do move, the ball would not be to fall, as
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Ariſtotle
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and
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Tycho
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will have it, far from the Piece towards the </
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</
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