GEN 
Generat is alfo ufed, in a monattic fenfe, for the chief 
of an order; or of all the houfes or congregations eftablifhed 
under the fame rule. 
‘Thus we fay the general of the Ciftercians, the Francifcans, 
c 
F. Thomaffin derives the a a of yee of orders from 
the privileges grante ee 
monatteries fituate in diets ae ties. 
they were exempted from the jur een of ae bithop ad 
immediately fubjected to that of the patriarch alon 
GENERAL a the Jefuits. See Jesuits, and peaen 
GENERAL is alfo Ae in the Military Art, for a par- 
cies ack or beat of drum ; being the firft which gives 
otice, commonly in ce morning early, for the infantry to 
ie in readinefs to march. See Drum. 
a rier aL in the fie phy of the Human 
Mind, denotes, according to pro tewart, nothing 
more than the capacity of g anloring oe cele terms ; though 
fome philofophers have fuppofed that it is a faculty of the 
mind diftin® from 
the formation of genera and fpecies; and t - 
deavoured to fhew, that although generalization eho 
Pag ea is sea tie le; yet, that pie t have been 
159, &c. See 
GENERALISSIMO, called alfo emg hie and 
fim wal —— is an officer who oars s all the mili- 
tary of a nation; he es orders to all the other 
et ae 3 and receiv 
the king. He holds this capone truft under various 
titles, as captain-general in ee nd and Spain, feldt-maree 
{chal in Germany, or marefchal in the Britith 
fervice the king is conftitutionally, and in = own —— 
right, al ea jini has ten aids-de-c 
enjoys the brevet rank of full colonel in a e. 
army. is the commander-in-chief, 
whom he fometimes honours with the title of captain-ge- 
neral. 
Menf. Balfac obferves that the cardinal de Richelieu 
firft see the word, generaliflimo, of his own abfolute 
authority, upon his going to command the French army in 
Italy. 
GENER ATE, in Mufc, is ufed to fignify the operation 
of that mechanical power in nature, which bee ound has in 
s,any givenfound, 
however iimple, produces, together with itfelf, its o€tave, andl 
two other fo extremel arp, viz. its th above, 
fe. the o€tave of its fifth, and the er the feventeenth 
above, or the double oftave of its third m Whether 
oS or — is ule by fome mathe- 
mae writers, for whatever is produced, either in arith- 
metic by the ee eon, ee or extraction of roots ; 
> 
GEN 
or in geometry, by the invention of the contents, mg and 
fides ; or of extreme and mean ig eee without arith- 
metical addition and fubtra€tion. Thus, 20 is the aera 
generated of 4 and §; ab ca of a and a . 8, - a 
the powers _geveraied from the root 2 ay 
thofe from the root a. Thus alfo, a circle i is gen ne ae by 
the ae of a line about one of its extremities, a rig] ht 
cone by the rotation of a right-an gled triangle about ite 
perpendicular, a cylinder by the rotation of a reétangle 
about one of its fides, or by the motion of a circle in the 
direétion of a right line, whilft it always keeps parallel to 
itfe 
GENE RATING Liyg, or Figure, in Geometry, is that 
which, by its motion of revolution, produces any other 
figure, plane, or folid. Thus, a line, according to pe 
renerates a circle, a right-angled triangle, a right 
fee the re article) ; and thus alfo Archimedes fun. 
pofes his f{pirals to be generated by the motions of gene- 
rating points and lines; and the figure thus A Spain is 
called the ‘ generant.’’ In geometry it is eral 
theorem, that the meafure of any generant, or figu 
iret, &c. im e C 
modern analyfis, or fluxions, all forts of 
quantities are pay ie as generated by fome fuch ‘oto 
and the quantity i generated is called a fluent. See 
Fiuent and Fruxion. See Gevesis. 
GENE RATION, in Mathematics, a the formatiot 
or production of any geometrical figure, er quantities, 
as any of thofe mentioned in the preceding ecies 3 and the 
term is alfo applied to equations, &c. 
GENERATION, in Phyfics, denotes the an of procreatings 
or producing a thing which before was not: or, the tota 
change or converfion ofa body i into a new one, which retaine 
no fenfible part, or r mark of its former fat te. 
wood ; 
thus, alfo, a chick is faidto be generated, when we perceive 
ia chick, where before was ae an egg; or when the egg 
is changed i into the form of a chick. 
In generation, there is not properly any produétion of 
new Sb ut only a new modification or manner of exift- 
ence he old ones ; by this, generation is diftinguifhed 
from re 
t is ditti inguifhed from alteration, in that the fubje&, in. 
this latter, remains a gela ntly the fame ; and only th 
cidents or affeétions a re changed ; 3 as hes the fame body is 
to-day well, and — ow fick; or that brafs, which 
before was round, i 
aftly,: generation dandk oppofed to nA Aoi which is 
the utter extinétion of a > ormer thin a when that 
which before was wake a is no longer the one or 
the other, whence it pers that the generation of one 
thing is the corruption of another. 
The Peripatetics explain Salar Py a change or paf- 
The moderns allow other 
change i in generation, than what is local : according to them 
it is only a tranfpofition, or new arrangement of 
thus the fame matter fhall fucceffively undergo an infinity 
of generations. 
A grain 
