Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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ver ſo ſmall, yet is it alwayes more than ſufficient to reconduct the
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moveable to the circumference, from which it is diſtant but its leaſt
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ſpace, that is, nothing at all.</
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<
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>SAGR. </
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>Your diſcourſe, I muſt confeſs, is very accurate; and
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yet no leſs concluding than it is ingenuous; and it muſt be
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ted that to go about to handle natural queſtions, without
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try,
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is to attempt an impoſſibility.</
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>SALV. </
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>But
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Simplicius
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will not ſay ſo; and yet I do not think
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that he is one of thoſe
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Peripateticks
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that diſſwade their Diſciples
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from ſtudying the
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Mathematicks,
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as Sciences that vitiate the
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ſon, and render it leſſe apt for contemplation.</
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>SIMP. </
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>I would not do ſo much wrong to
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Plato,
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but yet I may
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truly ſay with
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Aristotle,
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that he too much loſt himſelf in, and too
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much doted upon that his
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Geometry
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: for that in concluſion theſe
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Mathematical ſubtilties
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Salviatus
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are true in abſtract, but applied
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to ſenſible and Phyſical matter, they hold not good. </
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>For the
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Mathematicians will very well demonſtrate for example, that
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Sphæratangit planum in puncto
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; a poſition like to that in diſpute,
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but when one cometh to the matter, things ſucceed quite another
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way. </
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>And ſo I may ſay of theſe angles of contact, and theſe
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proportions; which all evaporate into Air, when they are applied
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to things material and ſenſible.</
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<
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>SALV. </
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>You do not think then, that the tangent toucheth the
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ſuperficies of the terreſtrial Globe in one point only?</
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>SIMP. No, not in one ſole point; but I believe that a right
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line goeth many tens and hundreds of yards touching the ſurface
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not onely of the Earth, but of the water, before it ſeparate from
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the ſame.</
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<
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>SALV. </
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>But if I grant you this, do not you perceive that it
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keth ſo much the more againſt your cauſe? </
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>For if it be ſuppoſed
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that the tangent was ſeparated from the terreſtrial ſuperficies, yet
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it hath been however demonſtrated that by reaſon of the great
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cuity of the angle of contingence (if happily it may be call'd an
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angle) the project would not ſeparate from the ſame; how much
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leſſe cauſe of ſeparation would it have, if that angle ſhould be
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wholly cloſed, and the ſuperficies and the tangent become all one?
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Perceive you not that the Projection would do the ſame thing
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on the ſurface of the Earth, which is aſmuch as to ſay, it would
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do juſt nothing at all? </
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<
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>You ſee then the power of truth, which
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while you ſtrive to oppoſe it, your own aſſaults themſelves uphold
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and defend it. </
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<
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>But in regard that you have retracted this errour,
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I would be loth to leave you in that other which you hold, namely,
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that a material Sphere doth not touch a plain in one ſole point:
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and I could wiſh ſome few hours converſation with ſome perſons
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converſant in
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Geometry,
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might make you a little more intelligent </
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