Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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without impediment by this Line, the Force and the Line ſhall
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take ſome certain poſition in which they ſhall reſt, and the Line
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ſhall of neceſſity be ſtreight, let that Line be termed
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the Pendant,
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or
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Line of Direction of the Force.
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And let the Point by which it is
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faſtned to the Fulciment be called
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the Point of Suſpenſion
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: which
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may ſometimes be the Arm of a Leaver or Ballance; and then let
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the Line drawn from the Center of the Fulciment of the Leaver
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or Ballance to the Point of Suſpenſion be named
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the Diſtance
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or
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the Arm of the Force
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: which we ſuppoſe to be a Line fixed, and
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conſidered without Gravity. </
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>Moreover, let the Angle comprehen
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ded betwixt the Arm of the Force and the Line of Direction be
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termed
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the Angle of the Direction of the Force.
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<
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>AXIOM I.</
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>After theſe Definitions we lay down for a Principle, that in the
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Leaver, and in the Ballance, Equal Forces drawing by Arms
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that are equal, and at equall Angles of Direction, do draw equal
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ly. </
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>And if in this Poſition they draw one againſt the other they
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ſhall make an
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Equilibrium
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: but if they draw together, or towards
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the ſame part, the Effect ſhall be double.</
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<
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>If the Forces being equal, and the Augles of Direction alſo
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equal, the Arms be unequal, the Force that ſhall be ſuſpended at
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the greater Arm ſhall work the greater Effect.</
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>As in this Figure, the Center of the Ballance or Leaver being A,
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if the Arms A B and A C are equal,
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as alſo the Angles A B D, and A C E,
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the equal Forces D and E ſhall
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draw equally, and make an
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Equili
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brium.
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So likewiſe the Arm A F be
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ing equal to A B, the Angle A F G
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to the Angle A B D, and the Force
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G to D, theſe two Forces ^{*} G and D
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draw equally; and in regard that
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they draw both one way, the Effect
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ſhall be double.</
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* In the M. S.
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<
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>Copy it is
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C and
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D.
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<
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>In the ſame manner the Forces G and E ſhall make an
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Equilibri
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um
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; as alſo I and L ſhall counterpoiſe, if (being equal) the Arms
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A K and A H, and the Angles A H T, and A K L be equal.</
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<
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>The ſame ſhall befall in the Forces P and R, if all things be
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diſpoſed as before. </
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<
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>And in this caſe we make no other diſtinction
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betwixt Weights and other Forces ſave only this, that Weights all
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tend towards the Center of Grave Bodies, and Forces may be un
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derſtood to tend all towards all parts of the Univerſe, with ſo
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much greater or leſſer
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Impetus
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than Weights. </
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<
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>So that Weights and </
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</
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</
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</
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