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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0417
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E Momenrum osche Cylinder A ML B N: LHere
tore the rro Momentas beins a5 the Cplinders
A M BN, and C LK HI, (which hareequal ale
pudes) will be as M N 10 LH ; 1. c. 25 21.
Bucharins phe Ratio oF the Nomenta s, re hare
al(o thac ot the pressire Velociries ot one atsu the
same Ouantiry ofthe Fluid L IK, when conceird
a5 pressins upon che Fund TK in onc Walc, ana On
che Lund CF, in rhe orhet
Bucche Nomenta oF Vessels oF disterent Ile
having the same common Fund, will be as thore
Altitudes.
Suppose A D and A C, cuo Parabolich VesselS.
havine che tame commori AbIcisse. A B; Then vill
their Momenta uxon che common Fund AB, bCa5
their Ordinares B C and BD, 1. e. 25 the Areas ot
the cuo Semi parabolas A D B and A C B, or in
a Sub duplicare Racio of cheir Paramerers; 25 is
evident From Conicks.
Likenise in Hyperbolical and Flliprical N esels
having che Pame cransverse Diamerer and AbIciN
comion co borh, the Pressure uxon che common
Abscissa, as a Fund, willbe as the AreaS A C B and
A C D oF the Semi-Fllipsis and Semi- FIyperbola.
C A SE HI
Dur nou we come ro considerrhe Vettels L. LK
andL. CF, (Fis. 6.) as communicarins wich cach
Orher. And hereche pressire Velociries will beve-
ry disterene From wrhac chey ivere in the Former
Supposition. In order eo exprels che Proporrions
oE irhich, e must consider ihe Momenta of che
several Porrions of the Fluid caken From the Ver-
cex, and imagin d ro becur of by Plains parallelto
che Base: And srst che Nomentum oF che Porriol
L IK, upon che Fund C F, is equal Momentum o
AMBN, on che Fund D C: TherefOre chCMO
mencum L C F, isco che Momentum oFL. IK:
ASthe Momencum oF che Cylinder ABD C, u
che Momencum oF che Cylinder AMBN, 1. c. a
LO: L a. Bur havins cheMomentas and Ouan
ricies oF Matrer, we can casily Aind che orher Fa
ctors; thac is, the pressive Velocities oF L C F
and L. IK, upon chetund C F, Wrhichmas De ex-
pressed chus:
The Rario oF ihe Momenra s, is equal 10
and che Rario oF the Magnirudes, is equal 10
E F F: Theresore che Rario oF che prestive Ve-
EOXLTK
lociries, will be L. a X L CF
C ASF H
in
Let BF (Fis. 8.) Be 2 Vessel AII d with Mereui-
ey coce Altirude AE: Then as in chewas ot ma-
king che Lorriceutun Lxperimenes, cake 2 pret
lons Clals- Lube, suuc al che end D, buc pent ac
C; wtueh fill wich Nercurr, and Aoppins che open
end C, Invere the Tube, and pur che laid end. C
and general Proposition, Thacil che Mercury con-
cained in the Tube, prels more upon C, chanche
Air upon che orher Parrs oFche Nercury wvhich are
expoled ro ic; ris evident, I Cay, Thac che Mer-
curr in the Tube will descend to tar (suppose ro Y)
eill che Presture be equal on all parrs ot rhe Surtace
oFthe Scagnant Mercury in che Vessel: Buc il che
Nercury in che Tube press less upon C, chen che
external Air does on che Mercurr wichout, chem
the Mercurs wichin che Tube will ascend (o hixh
cill che Pressure oF che Mercury wichinche Tube, be
equal co char of a Column oF Air oF che lame Dia
meter in any pare oF che Vessel ivirhouE.
This is clear Trom Prop. 1. and necds no orhet
Demonctrarion.
Both these AMIHHeL Cales (01 Z. 2, 5.) C d 
necessary co consider, That in che First Calc, where
ve imagined a differene Fund, 25 LR, che 10
mentum of the Portion LIK, is equal ro chac ot che
Crtinder G H Lk; ana IM INC sacus Lale, Wwhere
re suppole all one and che lame Vellet, ana l0 ile
Fluid L. IK, presins on the l’una C P, Chal cen 
Momrentum oe chac Porrion L. t Re, nt be caslat) ( dol L L (.6. 3.) d0 Pde t ad bbleste  baom q
Lo compare cogether the pressive Velociries
BucHere  may be enquired, why il the erect