Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667
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              X, leſſer than T: Which is manifeſted, ſince we underſtand the
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              Fulciment, one while under the Line B C, and another while under
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              C A, and the Diſtances of the Forces to be alike in both Caſes, to
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              wit, the length
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              B
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              D. </s>
              <s>But in the firſt Caſe, the Diſtance of the Re­
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              ſiſtance from the Fulciment, which is the half of the Line C A, is
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              greater than the Diſtance in the other Caſe, which is the half of B
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              C: Therefore the Force of the Weight T, muſt of neceſſity be grea­
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              ter than X, as much as the half of the breadth C A is greater than
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              half the thichneſſe B C, the firſt ſerving for the Counter-Leaver of
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              C A, and the ſecond of C B to overcome the ſame Reſiſtance, that
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              is the quantity of the
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              Fibres,
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              or ſtrings of the whole Baſe A B.
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              <s>Conclude we therefore, that the ſaid Priſm or Ruler, which is
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              broader than it is thick, reſiſteth, bresking more the edge-waies
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              than the flat-waies, according to the Proportion of the breadth to
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              the thickneſs.</s>
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              <s>It is requiſite that we begin in the next place</s>
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              <s>PROPOSITION III.</s>
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              To find according to what proportion the encreaſe of the
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              Moment of the proper Gravity is made in a Priſm
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              or Cylinder, in relation to the proper Reſiſtance
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              againſt Fraction, whilſt that being parallel to the
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              Horizon, it is made longer and longer: Which Mo­
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              ment I find to encreaſe ſucceſsively in duplicate Pro­
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              portion to that of the prolongation.
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              <s>For demonſtration whereof, deſcribe the Priſm or Cylin­
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              der A D, firmly faſtned in the Wall at the end A, and let
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              it be equidiſtant from the Horizon, and let the ſame be
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              underſtood to be prolonged as far as E, adding thereto the part
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              B
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              E. </s>
              <s>It is manifeſt, that the prolongation of the Leaver A
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              B
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              to C encreaſeth, by it ſelf alone, that is taken abſolutely, the
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              Moment of the Force preſſing againſt the Reſiſtance of the
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              Separation and Rupture to be made in A, according to the pro­
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              portion of C A to
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              B
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              A: but, moreover, the Weight of the Solid
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              affixed
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              B
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              E, encreaſeth the Moment of the preſſing Gravity of
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              the Weight of the Solid A
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              B,
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              according to the Proportion of
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              the Priſm A E to the Priſm A
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              B
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              ; which proportion is the ſame
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              as that of the length A C, to the length A
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              B
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              : Therefore it is clear </s>
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