Galilei, Galileo, Mechanics, 1665

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From whence we may take this Concluſion for indubitable, That
Crave
Bodies, all Extern and Adventitious Impediments being re­
moved
, may be moved along the Plane of the Horizon by any ne­
ver
ſo ſmall Force: but when the ſame Grave is to be thrown along
an
Aſcending Plane, then, it beginning to ſtrive againſt that aſcent,
having
an inclination to the contrary Motion, there ſhall be requi­
red
greater Violence, and ſtill greater the more Elevation that ſame
Plane
ſhall have.
As for example, the Moveable G, being poſited
upon
the Line A B parallel to the Horizon, it ſhall, as hath been
ſaid
, be indifferent on it either to Motion or Reſt, ſo that it may
be
moved by a very ſmall Force: But if we ſhall have the Planes
Elevated
, they ſhall not be driven along without Violence; which
20[Figure 20]
Violence
will be required to be
greater
to move it along the Line
A
D, than along A C; and ſtill
greater
along A E than along A D:
The
which hapneth, becauſe it hath
greater
Impetus of going down­
wards
along A E than along A D,
and
along A D than along A C.
So
that
we may likewiſe conclude
Grave
Bodies to have greater Reſiſtance upon Planes differently
Elevared
, to their being moved along the ſame, according as one
ſhall
be more or leſs elevated than the other; and, in fine, that the
greateſt
Reſiſtance of the ſame Grave to its being raiſed is in the
Perpendicular
A F.
But it will be neceſſary to declare exactly what
proportion
the Force muſt have to the Weight, that it may be able
to
carry it along ſeveral elevated Planes, before we proceed any
farther
, to the end that we may perfectly underſtand all that which
remains
to be ſpoken.

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