Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

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page |< < of 701 > >|
Of the CAPSTEN and of the CRANE.
The Inſtruments which we are now about to declare, have
immediate
dependence upon the Leaver, nay, are no other
but
a perpetual Vectis or Leaver.
For if we ſhall ſuppoſe the
Leaver
B A C to be ſuſtained in
the
point A, and the Weight G to
186[Figure 186]
hang
at the point B, the Force be­
ing
placed in C; It is manifeſt,
that
transferring the Leaver unto
the
points D A E, the Weight G
doth
alter according to the Di­
ſtance
B D, but cannot much far­
ther
continue to raiſe it, ſo that
if
it were required to elevate it yet
higher
, it would be neceſſary to
ſtay
it by ſome other Fulciment
in
this Poſition, and to remit or return the Leaver to its former Po­
ſition
B A C, and ſuſpending the Weight anew thereat, to raiſe it
once
again to the like height B D; and in this manner repeating
the
work, many times one ſhall come with an interrupted Motion
to
effect the drawing up of the Weight, which for many reſpects
will
not prove very beneficial: whereupon this difficulty hath bin
thought
on, and remedied, by finding out a way how to unite to­
gether
almoſt infinite Leavers, perpetuating the operation without
any
interruption; and this hath been done by framing a Wheel
about
the Center A, according to the Semidiameter A C, and an
Axis
or Nave, about the ſame Center, of which let the Line A B
be
the Semidiameter; and all this of very tough wood, or of other
ſtrong
and ſolid matter, afterwards ſuſtaining the whole Machine
upon
a Gudgeon or Pin of Iron planted in the point A, which
paſſeth
quite thorow, where it is held faſt by two fixed Fulciments,
and
the Rope D B G, at which the weight G hangeth, being be-laid
or
wound about the Axis or Barrell, and applying another Rope
about
the greater Wheel, at which let the other Grave I be hang­
ed
: It is manifeſt, that the length C A having to the other A B
the
ſelf-ſame proportion that the Weight G hath to the Weight I,
it
may ſuſtain the Grave G, and with any little Moment more ſhall
move
it: and becauſe the Axis turning round together with the
Wheel
, the Ropes that ſuſtain the Weights are alwaies pendent and
contingent
with the extream Circumferences of that Wheel and

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