Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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tion, from which enſueth the ſeparation and elongation of the
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pen from the Earth?</
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<
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>SIMP. </
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>I cannot tell.</
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<
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>SALV. How, do you not know that? </
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<
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>The moveable is here
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the ſame, that is, the ſame pen; now how can the ſame moveable
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ſuperate and exceed it ſelf in motion?</
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<
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>SIMP. </
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>I do not ſee how it can overcome or yield to it ſelf in
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motion, unleſſe by moving one while faſter, and another while
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ſlower.</
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<
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>SALV. </
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<
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>You ſee then, that you do know it. </
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<
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>If therefore the
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projection of the pen ought to follow, and its motion by the
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gent be to overcome its motion by the ſecant, what is it requiſite
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that their velocities ſhould be?</
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<
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>SIMP. </
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<
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>It is requiſite that the motion by the tangent be greater
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than that other by the ſecant. </
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<
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>But wretch that I am! Is it not
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only many thouſand times greater than the deſcending motion of
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the pen, but than that of the ſtone? </
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<
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>And yet like a ſimple fellow
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I had ſuffered my ſelf to be perſwaded, that ſtones could not be
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extruded by the revolution of the Earth. </
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<
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>I do therefore revoke
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my former ſentence, and ſay, that if the Earth ſhould move,
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ſtones, Elephants, Towers, and whole Cities would of neceſſity be
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toſt up into the Air; and becauſe that that doth not evene, I
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clude that the Earth doth not move.</
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>SALV. </
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<
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>Softly
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Simplicius,
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you go on ſo faſt, that I begin to be
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more afraid for you, than for the pen. </
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<
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>Reſt a little, and obſerve what
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I am going to ſpeap. </
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<
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>If for the reteining of the ſtone or pen
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nexed to the Earths ſurface it were neceſſary that its motion of
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deſcent were greater, or as much as the motion made by the
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gent; you would have had reaſon to ſay, that it ought of neceſſity
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to move as faſt, or faſter by the ſecant downwards, than by the
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tangent Eaſtwards: But did not you tell me even now, that a
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thouſand yards of diſtance by the tangent from the contact, do
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remove hardly an inch from the circumference? </
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<
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>It is not
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ent therefore that the motion by the tangent, which is the ſame
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with that of the diurnall
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Vertigo,
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(or haſty revolution) be fimply
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more ſwift than the motion by the ſecant, which is the ſame with
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that of the pen in deſcending; but it is requiſite that the ſame be
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ſo much more ſwift as that the time which ſufficeth for the pen
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to move
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v.g.
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a thouſand yards by the tangent, be inſufficient for
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it to move one ſole inch by the ſecant. </
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<
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>The which I tell you ſhall
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never be, though you ſhould make that motion never ſo ſwift,
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and this never ſo ſlow.</
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<
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>SIMP. </
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<
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>And why might not that by the tangent be ſo ſwift, as
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not to give the pen time to return to the ſurface of the Earth?</
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<
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>SALV. </
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<
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>Try whether you can ſtate the caſe in proper termes, </
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