Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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their parts do draw by Lines of Direction, which all concur in one
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and the ſame Point; and Forces and their parts may be underſtood
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to draw in ſuch ſort that all the Lines of Direction are parallel to
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each other.</
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<
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>AXIOM II.</
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>In the ſecond place, we ſuppoſe that a Force and its Line of Di
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rection abiding alwaies in the ſame poſition, as alſo the Center
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of the Ballance or Leaver, be the Arm what it will that is drawn
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from the Center of the Ballance to the Line of Direction, the
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Force drawing alwaies in the ſame faſhion, will alwaies produce
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the ſame Effect.</
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<
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>As, in this ſecond Figure, the Center of the Ballance being A,
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the Force B, and the Line of Direction
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B
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F
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prolonged, as occaſion ſhall re
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quire, in which the Arms A G, A C, and
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A
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F
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do determine, in this poſition let
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the Line B
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F
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be faſtned to the Arm
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A
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F,
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or A C, or to another Arm drawn
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from the Center A to the Line of Di
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rection ^{*} B
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F
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: we ſuppoſe that this
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F
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orce B ſhall alwaies work the ſame
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Effect upon the Ballance. </
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>And if
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drawing by the Arm A C it make an
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Equilibrium
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with the
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F
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orce
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D
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drawing by the
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A
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rm
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A
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E, when
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ever it ſhall draw by the
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A
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rms
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A F
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or
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A
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G, it ſhall likewiſe make
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an
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Equilibrium
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with the
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F
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orce D drawing by the
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A
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rm
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A E.
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This
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Principle although it be not expreſly found in
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A
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uthors, yet it is
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tacitly ſuppoſed by all thoſe that have writ on this
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A
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rgument, and
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Experience conſtantly confirmeth it.</
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* In the Original
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it is writ, but by
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the miſtake of
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the Tranſcriber,
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a la ligue de
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di
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rection A F.</
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<
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<
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>AXIOM III.</
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<
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>I
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f
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the Arms of a Ballance or Leaver are directly placed the one to
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the other, and that being equal they ſuſtain equal
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F
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orces, of which
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the Angles of Direction are Right An
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gles, theſe
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F
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orces do alwaies weigh
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equally upon the Center of the Bal
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lance, whether that they be near to the
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ſame Center, or far diſtant, or both
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conjoyned in the Center it ſelf; as in
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this
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F
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igure the Ballance being E D,
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the Center A, the equal Arms A D
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and
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A
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E, let us ſuſtain equal
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F
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orces H and I, of which the
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A
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ngles </
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