1000000030

712 / 1042

G E o
.. galloo. oioc ~alloos a firkin. fUllr fi rkios ~ l." ,,:!. lo
.. ale. eight g~lIons make a ¡irki o. ~od 12 s.lIons
O< a b. rre!. Hy an aa of the Gra of Wrlliam .nd Mary.
O< 34 gallon, is the borre!. both fM beer and ale. in all
O< pl.ees. exeept withio the wcekly brlls of mortality.
.. lo Seotland it is knolVn that fou r Si lis a
O< mutehkio. tlVO mutehkios make a ehopin; a pint i,
O< t\\'O chop.ios; a quart is tIVOpint'; and a galloo is
.. fou r quw ,. or eigilt plOt" The aeeounl' of thc eubi·
" cal iocheseoolaioed io Ihe Seots pint vary eonfiderably
O< from eaeh oth~r. AeeorJingto our aUlhor. it eomain!
" 1°9 eubie.1ioehcs. But the Haodard·jug, kept by Ihe
.. deao of guild of Edioburgh (one of IVhieh has Ihe year
.. 1555. with Ihe armsof Seot!dod. and Ihe tOIVOof E·
O< diaburgh. marked upoo it) baviog beeo earefu lly mea.
.. fured Ceveral times. aod bydiff~rem perfon>. the Seot'
O< pinto aeeordiog 10 thoCe fiaodards. was found to eoo.
.. taio about 1 03 T'~ eubie ioehes. The peIVterers jugs
O< (bywbieh the velfe!s io eommoo uCe are made) are Caid
O< tOeootaio Come timesbetwixt 1° 5 aod 106 eubie ioehes.
O< A eafk that was rneaCured bythe brewers of Edioburgh.
O< before the eommiOiooers of Exeife io 17°7. IVas found
O< to eootaia 46v Seo" piots; the fame velfc\ eontaioed
.. 1 8"~ Eoglifh ale·galloos. Suppofiog this meofuratiog
O< to be jull, the Seots piot will be to the Eoglifh ale·
O< galloo as 289 to 750 ; aod if the Eoglifh ale·galloo' be
.. CuppoCed tOeoolaio 282 eubieal ioehes. the Seots piot
.. will coonio 108.664 cu~ical ioches. BUI it i, CuCpea.
O< ed, 00 Cel'eral grouods, that the experimeot was no!
.. madi lVith Cuflicieot care aod exaa oeCs.
.. The commilflOoers appoioted byaUlhority of parli••
" meot to fCltl e the meafures aod weighls, io Iheir aa of
" February 19, 16 ,8. relate, T hal hal.iog eaufed fill the
/. LiolilhgolV firlot with wmr. they found that it con·
,. laioed 21 } pior, of the jua Slirliog jug aod meafure,
.. T hey lii:ewiCe ordaio thJI this fhall be the jua aod oo·
" ly Griot; aod add, 'fhl1l lhe .vid,mfi and órr.dnji of
" Ihe ,"hieh jir/ol. "nd" I1/1d aho.! (ven ov,r ,"ilhin Ihe
.. huird!, fll,}/I eOlllain l1;n""'J ;l1eh;! alld I/¡, j xlhporl
" 0/ 1111 i/lch. I1nd I¡', dapncfi l even il1ehu and a Ihird
.. p.lrl 01 0/1 ;/Ich. Accordiog to this aa their
.. experimeot and computatioo lOhave beeoaeeurate) the
.. p:ot contaioed ooly 99.56 cubieal ioehes ; for the coo·
.. leol of fueh a ver.d as is d& ribed in the aa, il
.. 211 ¡.85. aod this divided by 21±gives 99.56. But,
• I by the lVeight of lvaler faid ro fill this fi rlot io the Came
.. aa. the Oleafure of Ihe piot al rees oearly \Vith the E·
" d:oburgh naod~rtl above menliooed.
" A, for Ihe Eoglifll mearures of coro. the Wioche·
" aer gallon eontaios 272 ~ cubical ioehes ; I\VOgalloos
.. Olake a peek; four I'ecks, or eight galloos (that is 2178.
.. cubieal ioehes) make a bufhel ; aod a quarter is eight
" bufhels.
.. Our author that 1 9 ~ Scots piols make a firl ot.
.. But this does nOI appear to be agreeable to Ihe fiatnle
" above meotioned. oor tOIhe í1aodard.jugs. It may be
" coojeaured that the proponioo affigoed by hrm has
" been deoueed froOl fome experirnenl of how m. oypiots,
" aeeordiog tOeomOlOOuCe. were eootaioed io Ihe fi rlot.
" For if we CurpoCe thofe piots ro have been eaeh of
" ¡08 664 eubicll ioches, aecordiog to tbe experiment
E T lt Y .
" OlaJe io Ihe 1707 hefo r: 'he eOlnnliffi'lI1CtS of c~eire•
,. d«aibeo above ; theo ' 9~ fu~" prot' \Vdl ¡mtJum to
"21 t8.Q4. cubical inehes; whlcl, ' grees o",ly \l/ith
" 2It5.85. the meafure of t¡,e ¡irlut by lI.rulc ¡ .
" bove meotioocd. HUI il is proba~le. Ihat in thlS he
.. followed the .a 1587, \Vhere it is ordained, Thar the
" wheat·nrlot 01.11coot:liu 19 piols aod IWO joucatte!.
" A wheat·firl ot rnark<d \Vith Ihe Liolilho\V aamps be·
" iog me.Cured, \V.s t'ound 10 eoolaio aboul 22 1I eubr·
.. cal ioches. By the tI'tute of 1618 the barley·fi¡JOI
.. was 10 contaio 3t pintl of the juíl Slirlrog.jug.
.. A Paris piot is 48 eubical Pans ioches. aoo IS om ly
" equal to ao Eogldh \Vroe·quart. The Doiffiall coo·
" taios 641 6809QP"is cubieal ioeh." ar 780.36 Eo-
" glifll eubical inehes. .
.. The Romao a1lJp/¡ora \Vas a cubical Romao fool. tha
" eongiu! was lhe eighlh pan of the .rnphora, ,he fOl• .
.. riul was ooe fixtll of the eong;ul. T hey divided Iha
.. /exlariul like the 111 or /ihr. . Of dry mearures. the
.. rnedi1lJnuJ \Vas equal 10 t\Vo amphoral. thal is. Rbout
" I -}~ Eoglifh legal buOtels; and Ihe J/Jodiu! \Vas the
" lhird part of the arnp/¡or• ."
PR O P O S I T I ON XLIII.
'fo fi/lá Ihe (o/id conlml o[ 11 ~iv,n prifrn.- By
Ihe 29th prop. fet tbe area of Ihe baCe of the prifm be
meafured, aod be mulljplied by the~eight of the priCm •
¡he produa \ViII give Ihe fol id cootent of the prirm.
PR O P O S I T I ON XLIV.
'foji/ld Ihe (,/id cqntwl 01 4 givm ' )ra1'Jid.-Tha
area of the bate beiog fou od, (by the 30th plOp.) ICI it
be multiplied by the Ihird pan of lhe height of Ihe pyra·
mid, Or lhe third pan of tbe by the heighl, the p,o–
dua will give the Colid conteot, by 7tb 12. Eucl.
C O 11 O I. L. A ¡¡ r.
If the Colid cooteot of a [ ruflum of a pyramid il re·
quired, fir(l let the Colid cooteOl of Ihe cotire pyramid be–
fODQd ; from whieh Cublfaa Ihe Colid cOOleot of lhe p, rt
that ji w.otiog. aod Ihe Colid cootent of the brouo
pyramiJ will nmaio .
P R O P O S 1 T ION XLV.
'fo filJd Ihe eO/lle/l1 o[ a given cylil/d" .- T he area
of Ihe baCe beiog fODod by prop. 33. if jt be R cirele•
aod by prop. 35. if it be ao clllpfe. (for io bOlh c.f<1
it is a eylioder,) mulriplyit bythe height of lhe cylinder,
and the folid COOleot of Ihe eylioder " ill be produced.
eo RO L L A R r.
Fre . 23.Aod io this maooer maybemcaCured Ihe folid
conteOI of velfds aodcafks oot much difrereot from a e)·ho.
der,as ABCD. If lowards the middle Ef it be ComewhH
groffcr, Ihelreaof the cirele of thebaCe bejog fouod(by3).1
prop. ) and added 10 Ibe RICa of lhe middle eirele EF. and
thehalfof theirfu m(lhat is, ao arilhmetic.1meao belwceo
theareaor. lhe bafeaod the area of the middle cirele) I,kco
for the baCe of the veffd . •nd multiplied iOlo its he'ghl•
the [olid eooleot of the giveo velfc\ \ViII be produceJ.
Notc, That Ihe length of lite I'effd, as \Vdl as lhe Ji·
amrters of the b,fe. ¡od of Ihe eirele Ef , oughl to be
taken within lhe aaves ; fur il i, Ihe Colid eonrcot widuo
the /laves thal js Cought.
PR O P O S I T 1 O XL\'l.
'fofiNi Ih, jo/iJ (CIJIOJI of • g:wn em:,- Let ,h:
area