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# Title: Lectures De Potentia Restitutiva, Or Of Spring (shelfmarks Leibn. Marg. 105, Stück 1; Leibn. Marg. 105)
# Folio 21, page id 859264114:0027
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Velocitr, whose Ordinates By Bj AO will girethe
particular Velocities, and the S. likre Line of time will
extend bexondN. Thelame will happen suppolins
the body (mored by che Sprins) t0 be propor-
tionately heary, and the porrers of che Sprins thc
Tame mith theArs.
And supposins the porrer oE thesprins the Came
a5 aFAPHE, Bended ontr to B2, andFrom thence let 80
B2 P A is the Triangle of its porers, the Ordinates
OF the Cirele B g L are theLines oF its Velocity, and
ehe Ordinatesof theS. like Line B iF are the Lines oF
Eme.
Farins thus Mered rou hor the Velocier oF a
Sprins may be computed, ic will be casie to calcu.
late torrhrat distance it rill bC able EO(BOOEOE thrOW
any body chatis mored by ic. And ehis mustbe donc
by comparins che Velocies oF the alcent oF a body
chromnwichthe Velocitr ot the descent oF Gravitr,
allorrance beins allo made tor the Relistance and im-
Dediment oF the medium chrouxh itrich it passes.
For intance, suppole a BO or Sprins Axed aE.
16 Foot abore a HTorizontal RoOr, irtrich is neaE
the space that a heary body trom rest will descend.
perpendiculartr in a second ot time. IF a Spring de
liver thebods inthe Horizontal line with a Velocier
that mores it 16 Foor in a second ot time, then 1II
it FaIl at 16 Foottiom theperpendicular point on the
Roor orermhich ic ras delivered mich lueh Velocitr,
and by ies motion haII deleribe in the AIr. Or SpacC
chrouoh rhichicpasses, a Parabola. IF che Sprins bC
bentto tvice the tormer Pension, (0 a5 to deliver che
bodr rith double the Velocity in a Hloricontal Linc,
thac is, wich a Velocier that moves 32 Fooc in a le-
cond, thensall thebod touch che RoOr in a point
verr near at 32 Fo0c From che atorelaid perpen.
dicular point, and the Line ot the motion oF the.
bodr, Coocall. Be mored in a. l’arabola, or a Linc.
verr near it, I lay very near it, by realon that chC
ImpedtiMENE