1and in the Velocity: which peradventure, might not have ſeemed
to ſome ſo true and manifeſt in the preſent Contemplation; nay,
rather it ſeems, that in this caſe the Force is multiplied without the
Movers moving a longer way than the Moveable: In regard, that
if we ſhall in the Triangle A B C ſuppoſe the Line A B to be the
Plane of the Horizon, A C the elevated Plane, whoſe Altitude is
meaſured by the Perpendicular C B, a Moveable placed upon the
Plane A C, and the Cord E D F tyed to it, and a Force or Weight
applyed in F that hath to the
Gravity of the Weight E the
204[Figure 204]
ſame proportion that the Line
B C hath to C A; by what
hath been demonſtrated, the
Weight F ſhall deſcend
downwards, drawing the
Moveable E along the eleva
ted Plane; nor ſhall the Move
able E meaſure a greater Space
when it ſhall have paſſed the
whole Line A C, than that which the ſaid Grave F meaſureth in its
deſcent downwards. But here yet it muſt be advertiſed, that al
though the Moveable E ſhall have paſſed the whole Line A C, in
the ſame Time that the other Grave F ſhall have been abaſed the
like Space, nevertheleſs the Grave E ſhall not have retired from the
common Center of things Grave more than the Space of the Per
pendicular C B. but yet the Grave F deſcending Perpendicularly ſhall
be abaſed a Space equal to the whole Line A C. And becauſe Grave
Bodies make no Reſiſtance to Tranſverſal Motions, but only ſo
far as they happen to recede from the Center of the Earth; There
fore the Moveable E in all the Motion A C being raiſed no more
than the length of the Line CB, but the other F being abaſed per
pendicularly the quantity of all the Line A C: Therefore we may
deſervedly affirm that Way of the Force E maintaineth the ſame
proportion to the Force F that the Line A C hath to C B; that is,
the Weight E to the Weight F. It very much importeth, therefore,
to conſider by [or along] what Lines the Motions are made, eſpe
cially in exanimate Grave Bodies, the Moments of which have their
total Vigour, and entire Reſiſtance in the Line Perpendicular to
the Horizon; and in the others tranſverſally Elevated and Inclined
they feel the more or leſs Vigour, Impetus, or Reſiſtance, the more
or leſs thoſe Inclinations approach unto the Perpendicular Inclina
tion.
to ſome ſo true and manifeſt in the preſent Contemplation; nay,
rather it ſeems, that in this caſe the Force is multiplied without the
Movers moving a longer way than the Moveable: In regard, that
if we ſhall in the Triangle A B C ſuppoſe the Line A B to be the
Plane of the Horizon, A C the elevated Plane, whoſe Altitude is
meaſured by the Perpendicular C B, a Moveable placed upon the
Plane A C, and the Cord E D F tyed to it, and a Force or Weight
applyed in F that hath to the
Gravity of the Weight E the
204[Figure 204]ſame proportion that the Line
B C hath to C A; by what
hath been demonſtrated, the
Weight F ſhall deſcend
downwards, drawing the
Moveable E along the eleva
ted Plane; nor ſhall the Move
able E meaſure a greater Space
when it ſhall have paſſed the
whole Line A C, than that which the ſaid Grave F meaſureth in its
deſcent downwards. But here yet it muſt be advertiſed, that al
though the Moveable E ſhall have paſſed the whole Line A C, in
the ſame Time that the other Grave F ſhall have been abaſed the
like Space, nevertheleſs the Grave E ſhall not have retired from the
common Center of things Grave more than the Space of the Per
pendicular C B. but yet the Grave F deſcending Perpendicularly ſhall
be abaſed a Space equal to the whole Line A C. And becauſe Grave
Bodies make no Reſiſtance to Tranſverſal Motions, but only ſo
far as they happen to recede from the Center of the Earth; There
fore the Moveable E in all the Motion A C being raiſed no more
than the length of the Line CB, but the other F being abaſed per
pendicularly the quantity of all the Line A C: Therefore we may
deſervedly affirm that Way of the Force E maintaineth the ſame
proportion to the Force F that the Line A C hath to C B; that is,
the Weight E to the Weight F. It very much importeth, therefore,
to conſider by [or along] what Lines the Motions are made, eſpe
cially in exanimate Grave Bodies, the Moments of which have their
total Vigour, and entire Reſiſtance in the Line Perpendicular to
the Horizon; and in the others tranſverſally Elevated and Inclined
they feel the more or leſs Vigour, Impetus, or Reſiſtance, the more
or leſs thoſe Inclinations approach unto the Perpendicular Inclina
tion.