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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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The Rule i5, LCCpH Co ine lac menrioned
Eoughe; rhar is, in words; Lhe Losarichm ot che
BC B-- L = I.
ihen will  Be che Loparietm ot che Racio oF
Rario oE tho Nacural Air eo char in che (nearty che Capacirr oF the Recciver and Pump Eogether,
luppose) exhausted Keceiver is alvars equal ro ro che Capacier ot the Reccirer alone; irhich
che Produet of che Number of che Scrokes ot che Racio beins alloknown, viz. 25 p c0g. then will
Pmnx musriply d by che Logarichm of che Rario s. r:: p. g. and s-- r. r:: p- g. g. Thac is, the L0.
berween che Capaciry ot che Pump and Recei- sarichm oF che Rario oL the Nacural Air ro the
ver cogecter, and che Receiver alone:
Remainins Air, beine divided by che Number of
S0 char chese chines beins siven, as in che Sup. che Scrokes ot the Pump, will alivars sire tor rhe
Policior ot che Problem, ehe Ratio oE che Nacural Ouoriene che Logarictm oE a Rario, Whose An
Air,. eo FHac Wvhich non remains in the nearty ex
hausted Reccirer, is Found Q. F.
Tet chis Ratio be a5 p r0 g. then will a. V:: P. G
and consequenely aqu p. and dividins all by q
he Narurat Air will Be thus exprest.  = a
cecedent less the Consequent, will De coche Con-
Cequene, 25 che Pump is co the Receiver; and
cheretore chis Ouoriene beinu known che Racio be
rween che Pump and che Receirer ill also BC
known, 8. F. 1
From hence, it che Capaciry ot the Receiver
il vou have che remainins Rir in che Receirer; be known, che Capaciry ot rhe Pump vill Be
ind chac remainins Air will BC exprest chus, 2 Tound co be r7Q; and il ehe Capaciry oF che
is vou have che NaturAl Air. And suxpolins boch Pump Be KnoWn, viZ. s r= C, theN FaE OF ehe
Nacural and Remaining Air eo be cachF. che
irill bectius exprekt: Jhe Nacural Air p an
itie remainire saritys d Air = q
As For example.
Receirer vill be-
Problem 3. The Rario bermeen the Pump and
Receiver beine given rocether voith that of the Na-
tural Air to the Remainins Air: to find what Num-
ber of Strokes of ehe Pump are necessary to bring
Surpole the Capacier of the Receiver 1B DC the Narurat and Remainine Air to the siven Ratio:
20 rimes a5 greac as chac of che Caviry of che Or in orber noras, To rarefre ebe air in a river
Pump lese by deawins up chie Piston; and Mhac Rario; mith an Engine nhose Receiver and eump
he Number oF che Scrokes of the Pump bC 30.
demand. irhac Proporrion che Air in ché
(Parcly) exhausted Receiver bears ro the Com
mon Air. The Ansiver is, Thac chere is abou
are siven in Capacity
The Rule beins B L= M- non, and conse
queny,n. ii Wvill BC, as the Loparirtm
ehie 18ch parr ot che Air wrhich was in che Recci- oF the Rario of Receirer and Pump topecher, 10
vet ertien son besan eo pump.
Receiver alone, is roche Loharichin ot che Rario
For in ehis Cale the Logarichm l- m = ro the berween che Nacural and Remainins Rir: S0 is
Rario berween che Capaciey oF Receiver and Pump Oniry ro che Number ofche Scrokes oF rhie Pump
ebeecher, eo Receiver alone will bc 413927; required: Or in ocher words, the Ouorient ot ché
wtich mulciplud by 30--n, sires 124 17810 for Second of chese Logarichms divided by the Fiest
the Logarirtim oF in-mn, che Racio oF che Na- is alvars equat eo che Number ot Scrokes
cura Aic eo cheRemaining Air. Let che Nacu
ral Aic in che Reccirer betore che Pump was lec
on wvork be ==1. chen will = 12417810 bC rhe
Touehe.
AIAY METEORS: Sec Meteors.
AISFETERIOM, ihe common sentory ehicti
Logarichm ot thar lnail Ouanriry of die which Carres nould have placed in che Clandula Pinea-
haHI ac last remain atrer che 30 Pumps, Which lis, bur is non generally supposed ro bc abour
Wwiil be che Locarichm Of= fere, chac is, ic may
the beginning of rhe Medulla Oblongata in ehe Cor-
De exprest chus, . And theretore 10 sind che pus Scriatum
Weighe of aII rhe NacuraI Air (= a) in che RC-
ATOTAOE, is the Spour FOr a Fers d’eau i
ceiver, e may Cay, ehiar there enered Rir ac laA ariy Founrain: HIr. Marrioit aNerrs, Thac an
tec in is = a=s; and chen cakins a for irs pro. even polistred round Iole in che end ot che Pipe
per WeiphE, las suxposins etie Weighes of Bodies ivill sive an hixher fes chan either a Cxtindricat
eo be proporrionable ro rheir BuIKS) ler p be che or a Conick Adjuraze; bur ot chole the latrer is
Difference bereen the Weighes ot che Receiver ehe best.
wotien FuII and whien extrausted; we Mai Aind
ehac a  = p. wtrich Equation will produce
ALA, in Bocany, Signities che Anele (wtict de
nerally is acure and never prearer elan a Rixhi
a= p F- P For che Weiehe oF all the Nacural Air one on etie Foor-Scaltes ot Planes, and is alvavs
ini etie Reccirer. In general, it e be pur For che cendine upwards) chac cicher che Leares or itie
Tumber of itich innm is the Losarirtim, the FoOr Scalks oF Leaves makie wich the Scalk, or
remainine Air ac last vill alvays be precisety = a
wich any Branch ot the PlanE. Sometimes alle
etis cakeen for a licrle Branch, niakine an Argle
its Weiphr:: and etie Weiphe ot ihe NX
curat Air = 8
P,oblem 2. The Ratio betmeen the Natural RC
alcei chacmanner with che StalK
AL ABASTRA, in a Planc, are etiose licele preeri
Leaves itrich compass in che Borrom ot Thc
Flover.
ALBA LIRNa, in I and; is an Annual Rene
siven nich the Number of ihe in Money payable co che Chiét or Lord ot any
Strokes of the Pump, 10 find the Ratio of ehe Re- FTundred; and Spelman (aich, Tis ealId AIb
seiver cache Cavicy os che Pump. The tule vill because js is not paie accoidins o che Custom oi
Nocarion, I  In imn.
Where  mn is etie Loparichm oF ehe Rarie