GAUGING. 
will give the wine gallons, and divided by 11 will give the 
ale gallons: or, 39 B°+25 H?+26 BHx 114 is the con- 
tent in inches; which being divided by 231 for wine gallons, 
or by 282 for oie shes ed the content. 
E. f the lengt e 40 inches, the bung 
diameter 32, ad the bea dace 24. 
Here 3) x 39 = 39936 
25 a 
32x as . 26 = 19968 
fum - 74304 
multiplied by - 40 
oe Py I ee) 2972160 
71 cubic cae and 
pa divided ty 231 gives 112 wine gallon 
ae ivided _ 282 gives a allo 
n of a Gauging-rod, wiereby the uc of any 
clinical or common veffel, is eafily had.—Tak amc- 
af ar a ABDE, ae Sur 
neying. fr 2, that holds one es the eae liercin he 
flu id is Shinated, ls Bie gallon, and | gees it at right angles 
to the indefinite 7 fa , fet off a right 
line equal to vill a. 
fel, that see two meats or gallons, of the fame nee 
as the for 
Again, ‘Tet ‘A 2= Br; then will B 2 be the diameter of 
a veflel that holds three meafures, but of the fame height as 
that which only holds one. after the fame manner, 
find the diameter of other large veflels, B 3, B4, Bs, BO, 
Patty, fet off the feveral divifions thus found, A 1, A 2 
A 3, &c. upon the fide of a rod or,rule ; and, on the other, 
the height or depth of a cylinder, that holds one meafure 
or gallon, alent as oft as it will go. Thus is the gaug- 
ing-rod com 
For eyes that have the fame altitude, are to each 
other as the fquares of their diameters ; confequ aes = 
{quare of the diaméter of the veffel that a 2; 
d 
fquar of Br ie double, that of Bo 
is ene: &c. it .is evident, that the right lines A 2, 
, A 4, &c. are the diameters of the vellels required. 
Thefe divifions, a being ae to ~ Poa be a 
cylindrical veffel; it will immediately a appea 
meafures, e. gr. gallons, a cylindrical vefiel of cas i, 
and . the height of . ie which holds one gallon, will 
contal 
Be 
Wherefore finding by the divifions > the other fide of j 
rod, how often the height of one gal contained in 
el; and aaa ng the diameter 
is ape the pro oduct will be the num- 
er of gallons the veffel con 
hus, e. gr. if the aie ae the ae ae veffel be 8, 
and its height 12, its contents will be 96 ga 
Note, 1. The lefs you take the heig he cylinder 
containing © ne gallon, the greater will the diameter of the 
bafe be: whence both that, and the diameters of the cyha- 
de:s containing feveral ellos, will be the more eafily divi- 
fible into leffer parts. eats directs fuch height to be only 
one sig or tenth of an inc 
. The spot aes of veflels holding one or more sapien 
pas of a gallon be had, by dividing one or 
decimal parts of the velfel holding a whole gallon, i i. 
height : which’ gives us the area ‘of the circular bafe ; ; fro 
w hene ce the diameter is aire! found by the rules ddivered 
under DraMETER, Circie, &c. the fame man- 
ner, the diameters are foond for the divifions of veflels, that 
hold two or more gallons 
Gavorxerod ufe of the—To find aa content of a cafk; 
that is, to determine the number of meafures, e. gr. lone, 
it will hold: oy the gauging-rod to “the veffel, as directed 
in the preceding article, a find both the length of the 
» figs 35 an diameters, G H and A B. 
ind, by e experinent, how far foever it may be 
from geometrical exacinefs, that a common caflk of this form 
may fafely enough be reputed as a cylinder, whofe bafe is a 
medium between the head a the belly ; find fuch medium, 
which call the equated diam 
hen multiplying the ie thus found by the —s 
of the cafk AC, the ae oduct will be the number of m 
{ures de veflel contain 
Suppofe, e. gr. A Be 8,and G H =12,and AC = 
the equated diameter will be 10, which falas by 15; 
gives the capacity of a cafk, 1 50% meafures 
If it happen, that the diameters of the two ends be not 
equal, pve oe them both, and ie half their fum for the 
diameter to™work by. 
There ts another method whereby the content of a ve ffe L 
is had, without any calculation at all, which obtains i in divers 
parts of Germany and the Low-Comitriee: 
the diameters ir B and GH, it is rot fafe to 
places. » however, prefers i 
_ as ineluding all the precautions poffible, that he re- 
ommends it to the dace to enact it by law, that all cafks 
i: made in this propor 
ods of pers which chiefly obtain among 
us, are, ony the four-foot gauging-rod, and Everard’s flid- 
ing-rule 
ox, and confi our ie eac foo oe and 
howe three-eighths a inch fquare, joined together by 
three brafs joints ; by whic h means the rod is rendered four 
feet long, when thed four rules are quite opened, and but one’ 
\ 
foot when mee are all folded together. 
nt rf — this rod, marked 4, are placed two 
diagonal fee eer, and the bead for wine: by 
means of whi a ae content of any common veflel in beer. 
or wine gallons may be aay found, i putting the are in 
at the bung-hole of the veffel, till it meets the interfection 
of the head of the veffel wit ‘th 
For a of this line, there is written on 
n the fecond ee, 5 are a line of a and the gauge- 
line; which is a line exprefling the s of circ 
diameters are the ihe ie pele in ale gallons. 
the Sed gs : written, ale a 
On 
d face, 6, are jae fcales of lines; the firft, 
at the end ot “which ¢ is written oe oie is for findin 
are gallons t = are in a hog » when it is not full, 
s parallel to oo ia: 
f which is written B. L. figni 
ng how 
Ee 
bg” 
g oO 
ms 
b : at 
fignifying a butt fendi, 
of the gauging-ro od, cales nes, to 
find the wants in a frkin, kilderkin, aA barrel, lying with 
their 
the ftaves oppofite to the- 
cles, whofe 
A 
” 
