Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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Weſt, nor as you would have it, upon the Piece, but rather far
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diſtant towards the Eaſt. </
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<
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>For according to your explanation, it
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would have two motions, the which would with one conſent carry
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it thitherward, to wit, the common motion of the Earth, which
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carrieth the Piece and the ball from C A towards E D; and the
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fire which carrieth it by the inclined line B D, both motions
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wards the Eaſt, and therefore they are ſuperiour to the motion of
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the Earth.</
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>SAGR. </
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>Not ſo, Sir. </
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>The motion which carrieth the ball
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wards the Eaſt, cometh all from the Earth, and the fire hath no
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part at all therein: the motion which mounteth the ball upwards,
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is wholly of fire, wherewith the Earth hath nothing to do. </
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<
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>And
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that it is ſo, if you give not fire, the ball will never go out of the
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Piece, nor yet riſe upwards a hairs breadth; as alſo if you make
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the Earth immoveable, and give fire, the ball without any
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nation ſhall go perpendicularly upwards. </
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<
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>The ball therefore
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ving two motions, one upwards, and the other in gyration, of both
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which the tranſverſe line B D is compounded, the impulſe upward
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is wholly of fire, the circular cometh wholly from the Earth, and
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is equal to the Earths motion: and being equal to it, the ball
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maintaineth it ſelf all the way directly over the mouth of the
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Piece, and at laſt falleth back into the ſame: and becauſe it
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ways obſerveth the erection of the Piece, it appeareth alſo
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nually over the head of him that is near the Piece, and therefore
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it appeareth to mount exactly perpendicular towards our Zenith,
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or vertical point.</
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>SIMP. </
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>I have yet one doubt more remaining, and it is, that in
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regard the motion of the ball is very ſwift in the Piece, it ſeems
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not poſſible, that in that moment of time the tranſpoſition of the
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Piece from C A to A D ſhould confer ſuch an inclination upon
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the tranſverſe line C D, that by means thereof, the ball when it
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cometh afterwards into the air ſhould be able to follow the courſe
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of the Earth.</
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>SAGR. </
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>You err upon many accounts; and firſt, the inclination
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of the tranſverſe line C D, I believe it is much greater than you
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take it to be, for I verily think that the velocity of the Earths
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tion, not onely under the Equinoctial, but in our paralel alſo, is
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greater than that of the ball whilſt it moveth in the Piece; ſo that
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the interval C E would be abſolutely much bigger than the whole
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length of the Piece, and the inclination of the tranſverſe line
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ſequently bigger than half a right angle: but be the velocity of
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the Earth more, or be it leſs, in compariſon of the velocity of the
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fire, this imports nothing; for if the velocity of the Earth be ſmall,
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and conſequently the inclination of the tranſverſe line be little
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alſo; there is then alſo need but of little inclination to make the </
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