Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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<
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>SAGR. </
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>But if Digreſſions may lead us to the knowledge of
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new Truths, what prejudice is it to us, that are not obliged to a
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ſtrict and conciſe method, but that make our Congreſſions only
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for our divertiſement to digreſſe ſometimes, leſt we let ſlip thoſe
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Notions, which perhaps the offered occaſion being paſt, may never
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meet with another opportunity of remembrance? </
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<
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>Nay, who knows
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not, that many times curioſity may thereby diſcover hints of more
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worth, than the primarily intended Concluſions? </
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<
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>Therefore I
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entreat you to give ſatisfaction to
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Simplicius,
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and my ſelf alſo,
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no leſſe curious than he, and deſirous to underſtand what that
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Cement is, that holdeth the parts of thoſe Solids ſo tenaciouſly
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conjoyned, which yet nevertheleſſe in concluſion are diſſoluble:
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a knowledge which furthermore is neceſſary for the underſtanding
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of the coherence of the parts of thoſe very ligaments, whereof
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ſome Solids are compoſed.</
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>SALV. Well, ſince it is your pleaſure, I will herein ſerve you.
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And the firſt difficulty is, how the threads of a Cord or Rope
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an hundred foot long ſhould ſo cloſely connect together (none
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of them exceeding two or three foot) that it requireth a great
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violence to break them. </
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<
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>But tell me,
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Simplicius,
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cannot you hold
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one ſingle ſtring of Hemp ſo faſt between your fingers by one
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end, that I pulling by the other end ſhould break it ſooner than
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get it from you? </
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<
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>Queſtionleſſe you might: when then, thoſe
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threads are not only at the end, but alſo in every part of their
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length, held faſt with much ſtrength by him that graſpeth them, is
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it not apparent, that it is a much harder matter to pluck them
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from him that holds them, then to break them? </
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<
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>Now in the Cord,
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the ſame act of twiſting, binds the threads mutually within one
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another, in ſuch ſort, that pulling the Cord with great force, the
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threads of it break inſunder, but ſeparate and part not from one
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another; as is plainly ſeen by viewing the ſhort ends of the ſaid
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threads in the broken place, that are not a ſpan long; as they
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would be, if the diviſion of the Cord had been made by the ſole
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ſeperating of them in drawing the Cord, and not by breaking
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them.</
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What that Cement
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is that Connecteth
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the parts of Solids.
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How a Rope or
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Cord reſiſteth Fra
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ction.
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In breaking a Rope
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the parts are not
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ſeparated, but bro
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kon.
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<
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>SAGR. </
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>For confirmation of this, let me add, that the Cord is
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ſometimes ſeen to break, not by pulling it length-waies, but by
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over-twiſting it: an argument, in my judgment, concluding that
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the threads are ſo enterchangeably compreſt by one another, that
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thoſe compreſſings permit not the compreſſed to ſlip ſo very little,
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as is requiſite to lengthen it out that it wind about the Cord,
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which in the twining breaketh, and conſequently in ſome ſinall
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meaſure ſwels in thickneſſe.</
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<
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>SALV. </
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<
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>You ſay very well; but conſider by the way, how one
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truth draweth on another. </
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<
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>That thread, which griped between the </
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