308 M. P. 8. Girard on Navigable Canals. 
tion, Be Leeshety by the extension and distribution of public 
rich 
it will not be proper to carry the consequences of the 
theoretical principles which I have developed farther than 
[have done ; they rest on an analogy easy to comprehend, 
and whichitis only necessary to remark,to circumscribe with- 
in — bounds every case to which those principles are ap- 
plica 
In ane manner a certain volume of water descends 
from a given height, it may always be made to raise, to the 
same height, by means of a machine, a certain mass of wa- 
ter smaller than itself. 
The product of the difference of these two masses of wa~ 
ter muitiplied by the vertical ascent or descent is the meas- 
ure of the active force absorbed by the machine, and the 
machine is so much the more perfect as the loss of active 
force i is smaller. 
* What we here say of poxigohie eels spetions without cenrirtim to 
every thing that can tend to nder the c pee s betw: we 
aves, more conv onvenient ae ieen expensi bes i also applies “ all kinds of 
constructions, and Popech eee (etmpored rs reflecting on ode he diffe irs 
1. 
ical analysis, we nies dgpein lock render homage to the trul balosopbieal 
views which presided at the Senha ofa ed brated s cakes ohare analy- 
sis is intended to serve as the basis of the instruction there received. 
eve rtheless, among those who have been called to enjoy the advantages 
. ooge institution, and who mi ight have applied very a the knowl- 
e they there acquired, they do not all appear to have a ir = a 
"*Siathemaleeat Seesaw isa fangnage — we forget ee vs "cease to 
speak o to. 
eit; and as resea sa paso 
1, it wehadt rather ag 
received opinions, though erroneous, , than saeitaes in their 
a erie wen a knowledge of these new Aruthie < can an only be “nequit- 
; we do not wound the vanity or self-love 
of ay one sty ane what every body s e thus secure oursel 
- men may po in certain situations believ e them- 
: - i expect from those W 
minds are exercised to the study of the exact sciences. We have too ote 
had occasion to admire the success sae by graduates of the ‘polyt ech- 
nic School, the exact sciences owe mich pr , the arts too ma- 
by i 1ostly bythe: anion of analysis to o leave 
any room to apprehend that the example of those am: 
the powerful instrument, will become Sentero 
tions -— T deem it ann ry to the aa 
swer I shall make to the observations that-a young engineer has See 
on pera first memoir. In submitting the matt er which I have there edo 
rte ra that all his ins reas 
ings, ingh belive caustic his conclusions, are founded on lox. 
