Galilei, Galileo
,
The systems of the world
,
1661
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Now this acceleration of motion is never made, but when the
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moveable in moving acquireth it; nor is its acquiſt other than an
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approaching to the place deſired, to wit, whither its natural
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clination attracts it, and thither it tendeth by the ſhorteſt way;
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namely, by a right line. </
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<
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>We may upon good grounds therefore
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ſay, That Nature, to confer upon a moveable firſt conſtituted in
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reſt a determinate velocity, uſeth to make it move according to
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a certain time and ſpace with a right motion. </
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>This preſuppoſed,
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let us imagine God to have created the Orb
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v. </
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>g.
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of
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Jupiter,
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on
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which he had determined to confer ſuch a certain velocity, which
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it ought afterwards to retain perpetually uniform; we may with
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Plato
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ſay, that he gave it at the beginning a right and accelerate
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motion, and that it afterwards being arrived to that intended
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gree of velocity, he converted its right, into a circular motion,
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the velocity of which came afterwards naturally to be uniform.</
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Right motion by
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nature infinite.
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Motion by a right
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line naturally
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poſſible.
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Nature attempts
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not things
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ble to be effected.
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Right motion might
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perhaps be in the
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firſt Chaos.
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Right motion is
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commodious to
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range in order,
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things ous of
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der.
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Mundane bodies
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moved in the
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ginning in a right
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line, and
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wards circularly?
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</
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<
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>according to
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Plato.</
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* Thus doth he
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vertly and
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ly ſtile himſelfe
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throughout this
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work.</
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A moveable
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ing in a ſtate of
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reſt, ſhall not move
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unleſs it have an
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inclination to ſome
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particular place.
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The moveable
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celerates its
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on, going towards
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the place whither
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it hath an
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tion.
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The moveable
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ſing from reſt,
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eth thorow all the
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degrees of tardity.
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Reſt the inſinioe
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degree of tardity.
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The moveable doth
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not accelerate, ſave
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only as it
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eth nearer to its
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term.
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Nature, to
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duce in the
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able a certain
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gree of velocity,
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made it move in a
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right line.
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Vniform velocity
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convenient to the
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circular motion.
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<
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>SAGR. </
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>I hearken to this Diſcourſe with great delight; and I
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believe the content I take therein will be greater, when you have
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ſatisfied me in a doubt: that is, (which I do not very well
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prehend) how it of neceſſity enſues, that a moveable departing
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from its reſt, and entring into a motion to which it had a natural
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inclination, it paſſeth thorow all the precedent degrees oſ tardity,
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comprehended between any aſſigned degree of velocity, and the
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ſtate of reſt, which degrees are infinite? </
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<
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>ſo that Nature was not
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able to confer them upon the body of
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Jupiter,
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his circular
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on being inſtantly created with ſuch and ſuch
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</
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</
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Betwixt reſt, and
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any aſſigned degree
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of velocity, infinite
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degrees of leſs
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locity interpoſe.
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Nature doth not
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immediately
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fer a determinate
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degree of velocity,
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howbeit ſhe could.
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<
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>SALV. </
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<
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>I neither did, nor dare ſay, that it was impoſſible for
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God or Nature to confer that velocity which you ſpeak of,
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diately; but this I ſay, that
<
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de facto
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ſhe did not doit; ſo that the
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doing it would be a work extra-natural, and by confequence
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raculous.</
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<
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>SAGR. </
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<
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>Then you believe, that a ſtone leaving its reſt, and
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tring into its natural motion towards the centre of the Earth,
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ſeth thorow all the degrees of tardity inferiour to any degree of
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velocity?</
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</
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<
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>SALV. </
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<
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>I do believe it, nay am certain of it; and ſo certain,
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that I am able to make you alſo very well ſatisfied with the truth
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thereof.</
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</
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<
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<
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>SAGR. </
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<
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>Though by all this daies diſcourſe I ſhould gain no
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more but ſuch a knowledge, I ſhould think my time very well
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beſtowed.</
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<
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<
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>SALV. </
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>
<
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>By what I collect from our diſcourſe, a great part of
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your ſcruple lieth in that it ſhould in a time, and that very ſhort,
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paſs thorow thoſe infinite degrees of tardity precedent to any
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locity, acquired by the moveable in that time: and therefore
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fore we go any farther, I will ſeek to remove this difficulty, which </
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