Galilei, Galileo
,
The systems of the world
,
1661
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Tower. </
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<
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>And this is the cauſe why the right motion made along
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the ſide of the Tower appeareth to us more and more accelerate.
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<
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>It appeareth alſo, how by reaſon of the infinite acuteneſſe of
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the contact of thoſe two circles D C, C I, the receſſion of the
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cadent moveable from the circumference C F D; namely, from
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the top of the Tower, is towards the beginning extream ſmall,
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which is as much as if one ſaid its motion downwards is very ſlow,
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and more and more ſlow
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in infinitum,
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according to its vicinity to
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the term C, that is to the ſtate of reſt. </
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<
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>And laſtly it is ſeen how
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in the end this ſame motion goeth to terminate in the centre of the
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Earth A.</
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The line
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bed by a moveable
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in its natural
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ſcent, the motion
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of the Earth
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bout its own centre
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being preſuppoſed,
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would probably be
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the circumference
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of a circle.
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<
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>SAGR. </
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<
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>I underſtand all this very well, nor can I perſwade my
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ſelf that the falling moveable doth deſcribe with the centre of its
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gravity any other line, but ſuch an one as this.</
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<
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>SALV. </
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<
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>But ſtay a little
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Sagredus,
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for I am to acquaint you
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alſo with three Obſervations of mine, that its poſſible will not
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pleaſe you. </
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<
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>The firſt of which is, that if we do well conſider, the
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moveable moveth not really with any more than onely one motion
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ſimply circular, as when being placed upon the Tower, it moved
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with one ſingle and circular motion. </
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<
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>The ſecond is yet more
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ſant; for, it moveth neither more nor leſſe then if it had ſtaid
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tinually upon the Tower, being that to the arches C F, F G, G H,
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&c. </
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<
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>that it would have paſſed continuing alwayes upon the Tower,
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the arches of the circumference C I are exactly equal, anſwering
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under the ſame C F, F G, G H, &c. </
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<
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>Whence followeth the third
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wonder, That the true and real motion of the ſtone is never
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lerated, but alwayes even and uniforme, ſince that all the equal
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ches noted in the circumference C D, and their reſpondent ones
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marked in the circumference C I, are paſt in equal times; ſo that
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we are left at liberty to ſeek new cauſes of acceleration, or of
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ther motions, ſeeing that the moveable, as well ſtanding upon the
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Tower, as deſcending thence, alwayes moveth in the ſame faſhion,
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that is, circularly, with the ſame velocity, and with the ſame
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formity. </
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<
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>Now tell me what you think of this my fantaſtical
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jecture.</
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A moveable
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ting from the top of
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the Tower, moveth
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in the
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rence of a circle.
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It moveth neither
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more nor leſſe, than
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if it had ſtaid
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wayes there.
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It moveth with
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an uniform, not
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an accelerate
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tion.
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<
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>SAGR. </
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>
<
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>I muſt tell you, that I cannot with words ſufficiently
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expreſſe how admirable it ſeemeth to me; and for what at
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ſent offereth it ſelf to my underſtanding, I cannot think that the
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buſineſs happeneth otherwiſe; and would to God that all the
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demonſtrations of Philoſophers were but half ſo probable as this.
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</
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<
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>However for my perfect ſatisfaction I would gladly hear how you
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prove thoſe arches to be equal.</
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<
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>SALV. </
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<
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>The demonſtration is moſt eaſie. </
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<
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>Suppoſe to your ſelf
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a line drawn from I to E. </
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<
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>And the Semidiameter of the circle CD,
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that is, the line C A, being double the Semidiameter C E of the </
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