FRU 
Galen deferibes it as 2 very — food made of. corn, or 
aes boiled with water, Wines 2 an 
The Lata ns_called if. A168, whic Feftus derives ab alendo, 
as being. yuri en it- muft be obferved, 
they made it of any kind of cort 
rs, being . reftrained to a we have given its de- 
An emulfion, 
. kind o 
nomination, accordingly, from frument ums 
wheat was an ingredient, ~ “would be a 
“FRUMGYLD, in our Old Wri iters,, js the firft payment 
made, to the kin of a perfon lain, towards the recom- 
gs of s mu L.L. Edmun 
O, in “Gesraply , {mall ifland on the wet fide of 
the gl of Bothnia, ° 33. = a ng. 21° 
RUMS he’ chief’ feat “or 
Leg. 
TOL,, in ld Writ 
Peden which 3 is. ealled by fome the home icfal. 
Inz, cap. 38. 
_ FRUNDELE, i in Agrisultare the name of a dry mea- 
fure, which confifts o ba ag cks, ‘or half a buhhel. It is 
only ye in Litt eens diftri 
QBFLBUR, or Laven, i in oe a {mall 
‘ond: in the "Perfian gulf. N. lat. 26° 10’. E. long. 54° 20". 
FRUSH, or FRoG, in the Man ege, is a fort of tender 
n-which arifes in the middle of ‘the ‘Tole, and at fome 
diflance from the toe of : horfe ; it divides into two branches, 
running towards the hee >in form of a fork. 
ERUSL UM,i : dele Geography, a ae of Ree in the 
n the eae of tha he Hernici, 
the Lat 
near thie’ {mall 
planted i in it a colony, . 
among the victors... It is now v Frafin none in the ¢ 
25 miles E. of Vele tri, N. lat. E. lon 
SU 
. ng. 
RA, in our Old Write a- breakin ‘down 5 
FRUS. 
alfo a ploughing or breaking u ruffura domorum . is 
sa sang te and frufura terra, new br oken lan 
he w comes ae a rench, /1 Jreld Ure, Bs bruife ; and 
from a body. 
Frustum of, a — or cone, is that part which 
remains when any part next. the — 
Sarit! to the bafe, is taken awa 
The fruftum A BCD EF K (Plate. VII... . Geanietry, 
Si 88.) of any pyramid having a Rear bafe, 3 is equal to 
pyramid, . of | the fame and altitude, together 
refpondent A Eo 
the fquare of the former fide is to the {quare of the latter. 
In the planes of the three fides, draw. the diagonals B E, 
BF, and F D;- then will the part rt BCD of the fruftum, 
cut off -by a plane extended by F B an , be a pyramid 
on ‘the. bafe C D, having the fame apres with: the 
fame. parallel. ” planes AFE,. : 
maining part F A B D E of. the fruftum,. if a plane bee ex- 
tended by F B and F E,, will be divided into the two p 
mids FBDE, FAB E, wy the fame cy one. to 
the ae as their bafes BE BE, o 
AE, 
t the latter of yo pyrami ids BA F <, taking 
e bafe. and altitude with ia 
BCD. is in proports 
B as‘its verti, has the 
fraftum given 5 ; ae the eee ¥ 
to it as the eB 
bafes being les, as. BD? t 
way;,7 miles. A: 
‘cut ‘off by a plane 
ee ee ae 
CD to the bate AF E, that ibe: a 
AE? 
FRU 
Hence it ae that’ = of the three folids, FABE, 
FBDE, FBCD, into which the fruttum is ery the 
ratio of the firft and hind i is the duplicate of’ that 
BD, or of the ae the firft. to the fecond, thefe 
Rees it rte s, that the 
to two whole 
gular ; rramids, mutt hold i equally in all tre and co) 
one 18 
‘See 
PYRAMID. 
thepropofition above eee we may "deduce 
sracton of finding i content of any fr rea of foie teat 
Firft, the fruftum M.N b at. of a 
d the content of a eter e€ pyrae 
a 
laf a to another DP deter 
folowing. ftatement, P being 
B:: P: DandA’?: Be: P: 
fourth. proportional to A, B, and D; nthe one ee 
B: 
; becaulé 
= aa Ce and in. the other, CcC=- 3h 
_ Bx P 
D ao ; and therefore C = 
= —_~Ar 
va the ae bafes of the — are Faaes the. 
imple, a eon Re a better form: for 
content: of a whole. 
Cx A?+A x B+ BY. 
the content r Hence we chee the following rule 
for finding the Corea of the fruftum of any iquare pyra-- 
mid : Add the. ee aa of the two fides of the lower and 
ne um of their {quares, and then multiply 
ht. 
> PQ. (Ag- 90) is readily obtained ; ed ; being « in proportion to - 
the content :C. x.A? + A x: B+ B? 
B® of the fruftum of a. 
{quare pyramid een en te it, as the bafe of the former: 
is.to the bafe of the latter; or, as the fra¢tion 97854. 
. is -to. unity ; we being the proportion of the. area of the: 
a bafe. e {quare on the diameter : shins): PQ: 
ae x 5 + B? :: »7854:15 therefore PQ= 
oe x Cx At+ AB+ es = soe the altitude a)... 
x 4. 
* = 4,201 
x = + AB + B‘,. by: 
e ,2618th part of the whole 
content o 
> the , £ 
their fquares ; then multiply the aggregate by the fruftum’s - 
height, and. the produ, again, by the fraCtion ,26 i 
Ys 
