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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
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2. There is more Force regulrea ld male a Bod
Roul, or Revolve, (as suppose a truly Spherick
Borl on a Mathematical Lut) iBest to male it
Clide alons with the same Celerits.
3. In all Clidins, or Slidins Morions, whe-
ther Ontorm, Accelerated, or Rccatu 6c.
Jhe Force in the mhole is alvays proportionable to
the Produet of the Mass (or Duentity of Matter)
multiplied by the Path, or Line, defetoa ) tBe
The Incomparable NIr. Elaac NCWFOI
thus expresses these rmo last lheorems.
Wrhen the Celeriry is given, the space passed
chro will be a5 che Time; and che Pime beine
siren, che Space is as the Celeriry: WVheretore
il neither be giren, the Space ill be as the Cc
lerirs and Time conjunetly.
When the Celerier is piven, che Pime is direct.
ly as the Space mored chro; and etie Space BC.
ins siven, che Time is reciprocally a5 the Cete-
riry: Wheretore it neicher be giren, the Time
is as the space directir, and as che Celerirs reci
procalls.
Frence isplain, che Morions oE all Bodies are
25 the Rectangles under rhe Velociries, and the
Ouantiries oF Matter: WheretOre The MatTCT.
and Celerier of Morion beine siven, the MO-
mentum, Or Ouantier of Morion is given: And
AF che Moment and Marter be siven, the Celerity
is siren by diridins che Noment by che Onancit
OE Matter, V. SY. Let the Ouantiey OF Matrer
bea, che Ccleries c, and cheMomenem: Then
will ea = m, and c == and a -
AIo since che Space palsed over, or chro, is
alvays proportional ro the Rectangle under the
Velocir, andche Time; ter the Space be = 5
the Time = P, andche Celerier, as betore =C
Then willS = CT, and C = 7 and F =
and since alto m = ac, n will be equat 10 7
Oe, is F BC Biven, m = a5.
Hence also may be concluded; ThatIF EWO
Bodies are mored wich equal Velociries, che Mo-
ments rill be as the Ouanciey of Matrer in cach;
and vice versa, the Ouancier OF Matter a5 thC
Moments: Wheretore it Bodies oF equal BuIK
are found eo hare unequal Moments, Or Onani-
ties oF Morion, the Ouantiries oF Macrer must
be unequal: And consequenty chac which hach
ihe last Moment, must have MOrC OF POreS OEVa-
cuities interspersed chan che octer.
For Instance: IF 2 Globes, one oF Lead and
the Orher oF Cork, travins equal BulKS, are mo-
red with equal Sitinels; since che Ouanries
OE Mocion in the formet, Or ies Porce ro more
other Bodies, Will be much sreater chan in the
latter; irs plain chere must bemany more Pores
Or Vacuiries in chis, chan in chat.
Hr. Varienors Laus and Proportions
about Motion.
centre es corabits  che Movins Body.
vins da).
Genelat lpe ot al Des Cartes S Staticks.
Araced atrex D. Carres HiS MaNHET.
4. The Product of the Duration of all Eniform
Motions, multiplied by the Force which DZ C.n the
Motion, is alvays proportionable to the Product
made by the Path, or Line os Motion mumplied
by the Mass, or Ouantit) 8) Malter in the Mo-
Let B, b, stand For che Body mored.
M, m.
Lor the Mass, OF Ouantiey oF
Matter in ic.
Dor Space, or Distance moved
chro
For The Time in eotrich the. MO-
Then L CaY, F F: fF:: MS: m 5. OF anY
cro Bodies in Mocion. Then
5. F: f: : MSF : m5I
+:: MSf: msF.
S. m.
5: f + d
:5:: FY m: f+ H.
8. H F = 5, chen Mall
C: 1: : M5: m s.
M: m::
C5 : 5t.
tion 15 madle.
Lo che Foree producins E
Morion.
Eor che Celeritys or che Morion.
3: 5:: Im: MF.
And ReciprocalIY, WVhenerer TI, M m, 5s,
are in any oE chele Proporrions; Then are the
Forces which move the Bodies equal, Which is the
7. IF T = 1, chen Mall.
F: f:: MS: m 5.
F5 : fS.
5:: Fm: + M
And So ReciprocallY, IE F, M, orS, Beinche
PrOpOrtIONS; Ths Times vill de Equat. KIC HOLL
MI: m::
chis mas en eanet alt Machines be deon.
:5:: S+: 5 I.
: 5 =: F m: f N.
:: Sf: 5F
And Reciprocally, IFchele Proporrions bedis.
coresed; men le Masces aue cqnat.
8. IF M = m, then ill
1. In all kind oF Motions Whatever, Rouline,
Sliding. niform, Accelerated, Or Retarded, in
Rishr Lines, Or in Curres, (90. The Sum of the
Forces which produce the Morion in all Parts of its
Duration, is alvays proportionable to the sum et
che Paths, or Lines, which all the Poines of ch
movins Body describe.