Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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of the circle, as a point that was diſtant from the contaction one
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palm, and the point that was diſtant half a palm, I likewiſe believe
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would ſcarſe recede the fourth part of the diſtance of the ſecond:
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fo that within an inch or two of the contact, the ſeparation of the
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Tangent from the circumference is ſcarſe diſcernable.</
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<
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>SALV. </
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<
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>So that the receſſion of the project from the
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rence of the precedent circular motion is very ſmall in the
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ing?</
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<
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>SIMP. </
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>Almoſt inſenſible.</
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>SALV. </
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<
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>Now tell me a little; the project, which from the
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tion of the projicient receiveth an
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impetus
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of moving along the
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Tangent in a right line, and that would keep unto the ſame, did
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not its own weight depreſs it downwards, how long is it after the
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ſeparation, ere it begin to decline downwards.</
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<
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>SIMP. </
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<
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>I believe that it beginneth preſently; for it not
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ving any thing to uphold it, its proper gravity cannot but
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A grave project,
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as ſoon as it is
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parated from the
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projicient begineth
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to decline.
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<
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>SALV. </
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<
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>So that, if that ſame ſtone, which being extruded from
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that wheel turn'd about very faſt, had as great a natural
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ſion of moving towards the centre of the ſaid wheel, as it hath to
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move towards the centre of the Earth, it would be an eaſie
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ter for it to return unto the wheel, or rather not to depart from it;
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in regard that upon the begining of the ſeparation, the receſſion
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ing ſo ſinall, by reaſon of the infinite acuteneſs of the angle of
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contact, every very little of inclination that draweth it back
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wards the centie of the wheel, would be ſufficient to retain it
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on the rim or circumference.</
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<
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>SIMP. </
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<
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>I queſtion not, but that if one ſuppoſe that which
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ther is, nor can be, to wit, that the inclination of thoſe grave
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dies was to go towards the centre of the wheel, they would never
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come to be extruded or ſhaken off.</
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<
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>SALV. </
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<
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>But I neither do, nor need to ſuppoſe that which is not;
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for I will not deny but that the ſtones are extruded. </
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<
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>Yet I ſpeak
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this by way of ſuppoſition, to the end that you might grant me
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the reſt. </
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<
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>Now fancy to your ſelf, that the Earth is that great
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wheel, which moved with ſo great velocity is to extrude the ſtones.
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</
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<
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>You could tell me very well even now, that the motion of
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ction ought to be by that right line which toucheth the Earth in
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the point of ſeparation: and this Tangent, how doth it notably
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recede from the ſuperficies of the Terreſtrial Globe?</
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<
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>SIMP. </
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<
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>I believe, that in a thouſand yards, it will not recede
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from the Earth an inch.</
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<
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>SALV. </
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<
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>And did you not ſay, that the project being drawn by
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its own weight, declineth from the Tangent towards the centre of
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the Earth?</
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>
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</
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