Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.
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The machine reads it as
- 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
Cite
Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0417?run=74