Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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but that the diminution of the ſame velocity, dependent on the
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diminution of the gravity of the moveable (which vvas the ſecond
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cauſe) doth alſo obſerve the ſame proportion, doth not ſo plainly
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appear, And vvho ſhall aſſure us that it doth not proceed
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ding to the proportion of the lines intercepted between the ſecant,
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and the circumference; or vvhether vvith a greater proportion?</
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<
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>SALV. </
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>I have aſſumed for a truth, that the velocities of
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bles deſcending naturally, vvill follovv the proportion of their
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vities, with the favour of
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Simplicius,
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and of
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Ariſtotle,
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who doth
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in many places affirm the ſame, as a propoſition manifeſt: You,
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in favour of my adverſary, bring the ſame into queſtion, and ſay
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that its poſſible that the velocity increaſeth with greater
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tion, yea and greater
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in infinitum
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than that of the gravity; ſo that
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all that hath been ſaid falleth to the ground: For maintaining
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whereof, I ſay, that the proportion of the velocities is much leſſe
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than that of the gravities; and thereby I do not onely ſupport
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but confirme the premiſes. </
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<
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>And for proof of this I appeal unto
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experience, which will ſhew us, that a grave body, howbeit thirty
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or fourty times bigger then another; as for example, a ball of
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lead, and another of ſugar, will not move much more than twice
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as faſt. </
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>Now if the projection would not be made, albeit the
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locity of the cadent body ſhould diminiſh according to the
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portion of the gravity, much leſſe would it be made ſo long as the
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velocity is but little diminiſhed, by abating much from the
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ty. </
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<
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>But yet ſuppoſing that the velocity diminiſheth with a
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tion much greater than that wherewith the gravity decreaſeth, nay
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though it were the ſelf-ſame wherewith thoſe parallels conteined
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between the tangent and circumference do decreaſe, yet cannot I
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ſee any neceſſity why I ſhould grant the projection of matters of
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never ſo great levity; yea I farther averre, that there could no ſuch
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projection follow, meaning alwayes of matters not properly and
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abſolutely light, that is, void of all gravity, and that of their own
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natures move upwards, but that deſcend very ſlowly, and
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have very ſmall gravity. </
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<
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>And that which moveth me ſo to think
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is, that the diminution of gravity, made according to the
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tion of the parallels between the tangent and the circumference,
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hath for its ultimate and higheſt term the nullity of weight, as thoſe
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parallels have for their laſt term of their diminution the contact it
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ſelf, which is an indiviſible point: Now gravity never diminiſheth
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ſo far as to its laſt term, for then the moveable would ceaſe to be
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grave; but yet the ſpace of the reverſion of the project to the
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circumference is reduced to the ultimate minuity, which is when
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the moveable reſteth upon the circumference in the very point of
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contact; ſo as that to return thither it hath no need of ſpace:
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and therefore let the propenſion to the motion of deſcent be </
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