DENSITY. 
He ence, as the qualities and forms of things are of two 
og viz. internal and external, denomination becomes two- 
fold. 
MINATION, internal, is that founded on the intrinfic 
form ; cee Peter is deno saan ra on account of his 
learning, which is fomething inte 
DewnominaTion, external, is on founded on, or arifing 
from, the external form. Thus, a wall is faid to be feen and 
which is not in the perfon honoured, but in him that 
honour 
ED MINATOR, i Arithmetic, a term only ufed in 
va of fraétions, or broken numbers aa Fract wea 
e denominator of a fraction is rhe number or letter 
ee the line; fh isto how Dil nee the integer is 
fuppofed to be died By the fra@io 
Thus, in the fra&tion 57, feven twelfths, the number s2 is 
the denominator, and fhews that the integer is here divided 
So in the fraction — b is the denominator. 
The denominator always reprefents an integer 
The number above the line, 7, 1s called the aaguevater, 
DENOMINATOR Of a ratio is the ie nea arifing from the 
siti of the ease by the c 
in Iz parte. 
hus, 6 is the denominator of abe ratio 30: 8, becaufe 
30(6. The dehominator is what we otseewile call the 
se . the ratio. 
; Resmeees Crerici Reois, in Law, the 
name of an ianeent writ, the form whereof fee 2 Init. fol. 624. 
for excufing a parfon employed ia the king’s fervice for non- 
refidence. 
ENS Cants, in Botany, Dog’s Tooth violet. 
EryFuRonium. 
DENSCHENDORYF, in reer a town - Den- 
mark, in the ifland of Funen; 4 miles of Ber 
DENSHIRING, in Agriculture, a term Formerly clang 
to the operation of paring off the furface of grafs lan 
the materials - epee by faa 
IN 
See 
DENS Leonis, Danprvion. 
DENSITY, (from the Latin denfias) clofenefs, or com- 
patinefs. Denfity and rarity are oppofite or les on terms, 
aes page an - quantity of matter contained ina given 
veffels, A, and B, of equal Sia: 
Fill A loofely ek cotton, aad Te ofe it to contain one 
See LEontTopon. 
aid to be rare 
with refpe& to the cotton in B, ou os cotton in B is faid 
to the onin A. Alfo the 
aid to ae dou ble the denfity of 
in the like {paces and if three 
into the veflel B, then the denfity of it would be treble that 
of the cotton in A, &c. So that the denfity is proportionate 
to the quantity of matter contained in a given f{pace. i3 
evident, that if the capacity of the veflel B be double chat 0 
ity oO 
o 
o 
3 
or if in this cafe the capacity of B 
tape ofed to be divided into two parte, each part would Be 
equa alto A 
This explanation, which we have for the fake of Peripieny 
applied to the filling of i wii eae muft be a 
to all other bodies of any o we learn the 
following evident and peeks anaes, ee ape cons. 
cerning the relative oe of the denfities, the bu'ks, 
and the weights of 
T. The denfity is a aly guitar to, or is as the 
quotient of the weight divided by the bulk. 
. The weight is as the procu& of ie denfity multiplied 
by the bulk. 
IIT. ‘The bulk is as the quotient of the weight divided by 
the denfity. 
If the denfity be calied D, the bulk B, and the weight 
W; then thefe three theorems are, according to the alge~ 
braical notation, expreffed in the following manner; (a being 
the fign of conftant proportion.) 
fas 
II. We BD. 
Ww 
11. Bas 
Therefore, when two bodies, as M and N, are to be com- 
pared cogether with refpe@ to their oie weights, and 
bulks; cail the denfity, weight, and bulk of M, sae aa 
’ erat e denfity, weight, and bul 
refpectively, - w, en the comparifon for the aocie hee 
cafes ftands tl 
W:iw 
I. Dian = 
Il. W: w:: BD : dd. 
W:w 
jIl. on 
lL B: 4 Did 
One numerical application of the firft cafe, will fuffici- 
ently illuftrate the practical ufe of thefe theorems. Leet the 
weight of the bo eee € IO ounces, and 1's pee five cubic 
inches; alfo let th ight of the bod nine ounces, 
and it s bulk secu cubic ho aches then the denfity of the pody 
M is to the denfity of the body N, as — isto = 5 oras two 
to three. have taken it 
In the pr sae paragr raphs we 
atter as is —— in another lump of gold which ha dany 
ie pounds, with matter of different kind, it is im- 
body is attraéted by the nach ; therefore, if the attraction 
between the earth and a bady A, be greater than the attrac- 
tion nouibils oe bad rad another body B, a thole bo- 
dies may ¢ ,an e unequal 
weights Bats; in we ile no determinate ow rd 
of the real and intimate a of matter Ne tin 
ro 8. 
paribus, the quan tity a 
fible weight; 
e quiefce. 
The limits of denfity are likewife unknown to us. 
is one . rae 
tter is proportionate to its fen- 
and in this we muft for the prefent ac- 
Air 
cra ame of the ponderable fluids ksown: 
nts ‘s 
enfe) in ‘apy aellaase to. 
the power which is applied to S aaapre it; fo that w 
a 
