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

Table of figures

< >
[Figure 181]
[Figure 182]
[Figure 183]
[Figure 184]
[Figure 185]
[Figure 186]
[Figure 187]
[Figure 188]
[Figure 189]
[Figure 190]
[Figure 191]
[Figure 192]
[Figure 193]
[Figure 194]
[Figure 195]
[Figure 196]
[Figure 197]
[Figure 198]
[Figure 199]
[Figure 200]
[Figure 201]
[Figure 202]
[Figure 203]
[Figure 204]
[Figure 205]
[Figure 206]
[Figure 207]
[Figure 208]
[Figure 209]
[Figure 210]
< >
page |< < of 701 > >|
1
Let us therefore ſuppoſe the Circle A I C, and in it the Diame­
ter
A B C, and the Center B, and two Weights of equal Moment
in
the extreams B and C; ſo that the Line A C being a Leaver,
or
Ballance moveable about the Center B, the Weight C ſhall
come
to be ſuſtained by the Weight A.
But if we ſhall imagine
the
Arm of the Ballance B C to be inclined downwards according
to
the Line B F, but yet in ſuch a manner that the two Lines A B
and
B F do continue ſolidly conjoyned in the point B, in this caſe
the
Moment of the Weight C ſhall not be equal to the Moment
200[Figure 200]
of
the Weight A, for that the Di­
ſtance
of the point F from the Line
of
Direction, which goeth accord­
ing
to B I, from the Fulciment B un­
to
the Center of the Earth, is dimi­
niſhed
: But if from the point F we
erect
a Perpendicular unto B C, as is
F K, the Moment of the Weight in
F ſhall be as if it did hang by the
Line
K F, and look how much the
Diſtance
K B is diminiſhed by the
Diſtance
B A, ſo much is the Moment of the Weight F diminiſhed
by
the Moment of the Weight A. And in this faſhion inclining
the
Weight more, as for inſtance, according to B L, its Moment ſhall
ſtill
diminiſh and ſhall be as if it did hang at the Diſtance B M, ac­
cording
to the Line M L, in which point L it ſhall be ſuſtained by
a
Weight placed in A, ſo much leſs than it ſelf, by how much the
Diſtance
B A is greater than the Diſtance B M. See therefore that
the
Weight placed in the extream of the Leaver B C, in inclining
downwards
along the Circumference C F L I, cometh to diminiſh
its
Moment and Impetus of going downwards from time to time,

Text layer

  • Dictionary
  • Places

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index