Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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and indubitable fundamentals. </
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>And becauſe, as I ſay, I deſire de
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monſtratively to aſſure you, and not with only probable diſcour
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ſes to perſwade you; preſuppoſing, that you have ſo much know
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ledge of the Mechanical Concluſions, by others heretofore funda
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mentally handled, as ſufficeth for our purpoſe; it is requiſite, that
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before we proceed any further, we conſider what effect that is which
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opperates in the Fraction of a Beam of Wood, or other Solid, whoſe
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parts are firmly connected; becauſe this is the firſt
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Notion,
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where
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on the firſt and ſimple principle dependeth, which as familiarly
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known, we may take for granted. </
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<
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>For the clearer explanation
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whereof; let us take the Cilinder, or Priſme,
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A. B.
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of Wood, or
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other ſolid and coherent matter, faſtned above in
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A,
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and hanging
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perpendicular; to which, at the other end
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B,
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let there hang the
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Weight
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C
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: It is manifeſt, that how great ſoever the Tenacity and
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coherence of the parts of the ſaid Solid to one another be, ſo it be
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not infinite, it may be overcome by the
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Force of the drawing Weight C: whoſe
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Gravity I ſuppoſe may be encreaſed as much
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as we pleaſe; by the encreaſe whereof the
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ſaid Solid in fine ſhall break, like as if it had
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been a Cord. </
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>And, as in a Cord, we under
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ſtand its reſiſtance to proceed from the mul
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titude of the ſtrings or threads in the Hemp
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that compoſe it, ſo in Wood we ſee its veins,
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and grain diſtended lengthwaies, that render
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it far more reſiſting againſt Fraction, then any
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Rope would be, of the ſame thickneſſe: but
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in a Cylinder of ſtone or Metal the Tenacity
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of its parts, (which yet ſeemeth greater) de
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pendeth on another kind of Cement,
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than of ſtrings, or grains, and yet they alſo
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being drawn with equivalent force, break.</
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By Accademick
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here, as in his
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Dialogues of the
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Syſteme,
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Galile
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us
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meaneth him
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ſelf.
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Ariſtotle
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the firſt
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Obſerver of Me
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chanical Concluſi
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ons, but they nei
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ther not the moſt
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curious nor ſolidly
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demonſtrated.
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<
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>SIMP. </
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>If the thing ſucceed as you ſay, I underſtand well
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enough, that the thread or grain of the Wood which is as long as
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the ſaid Wood may make it ſtrong and able to Reſiſt a great vio
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lence done to it to break it: But a Cord compoſed of ſtrings of
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Hemp, no longer than two, or three foot a piece, how can it be ſo
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ſtrong when it is ſpun out, it may be, to a hundred times that
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length? </
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>Now I would farther underſtand your opinion concern
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ing the Connection of the parts of Metals, Stones, and other mat
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ters deprived of ſuch Ligatures, which nevertheleſſe, if I be not
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deceived, are yet more tenacious.</
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<
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>SALV. </
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>We muſt be neceſſitated to digreſſe into new Specu
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lations, and not much to our purpoſe, if we ſhould reſolve thoſe
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difficulties you ſtart.</
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