746346

TRACTATUS XVIII.

DE MACHINIS

H Y D

A V L I

S·

V A 111

titilü,

j1wmdw jit fit1tmu hic tr11El11tt11, mmo non videt;

rnjUI nempe parles Jimt

11q11&

tttílitati

oblcfl1111o,ii homi¡,¡

accommodare

in varios 11f

dedrtcere. M1d111 pafam mo112s aq111E nf-

Jignanfllr princi¡ia, q1úb11s

nemp~

aq11a, iners atioq11in

¿.

pigra, anima–

&,&

11r ad mott1m. Hd!C a11tem vulgo q1únq11e recenfen111r.

Vil attra!liva, ad v11c1111m impediendttm, attt fiegimd11m, q11J. vi

aqna,

jitll

ut ita dicam

.~r11vitatú

oblita, in fi1blime 111toll1/ttr : de hoc

principio, jamfatü f11st

fupra

~ixinms

Ojlendím11s onmes fire effert11s,

q~ti

pafom

tali fi1g4

'llami trib111mt11r, faale

aens gravttnlem

a11t vmJ e!tefluam refimrlt pojfe.

St qt1d! la–

men occurrant experimenta

.fÜWjM momenti, q11.e id attt injrment

11111 Jlabiliant

non

difo1111tl11bo.

,1/111d principit1m erit vis expuljiva corpomm

mm enim d110 corpora in eodem loco

eJlé

non pofont

ab afio impellat11r aqtta

loco cedere cogit11r, impettnnque

motttm concipit.

Terti11m

efl

vis rarefac1iva, attt eleflica, aeris prd!cip11e, neq11e emm Machinttf

hydr111tlic~f;

ita mmc attinginms

ttt de aiire,

fP1raltbM nihil dicere 1111deam11s, C/em Jint materi.e om–

nino ronnexd!

q111E vix ab invicem feparari, a11t fel'mgi pofont.

f2!!,11rt11m erit 11q11<e natttratis gavitas, vi mjM, dmn in inftriorftJJ loc/1111 magna vi,

co11-

cepto impet11 de(cendtt, mr(ili rejilit,

in 1wrttf allotlittir.

fil!!inlflm deniqtte erit vis externa animali11m, ventomm

q11A aqlia alioqttin torpens

fi1blime attollit11r.

H~s

machinttf trafiori& 11ppcll11b1m1u; ad q11odgem1s revocabim11s e& omnes

q11tt vim 11q11tt decidentis,

in prd!ceps mentís agnofct1nt.

lillllllll'll!lB111\!l:!llJl!llll!l1.!1i!i!l!!!1.!i1i!i:.llljNjlflj.~~llll®!lii

PROPOSITIO

Thcorema.

'A11rallio

¡e,,

aerü

gra'lJitatio,

QEia innumera: vulgo proferunrur Machina:

hrdraulica:,~n

fpecie quidem diverfo:, re ipfo ve.

ro , am limdes , auc eredem : ideo in fuas claffes

difiribuc!'d>s ccnfui '.

ad fua principia rtvo–

can~as'

lit

limplicionbus incipiendo, ad dif–

fic!lio_re_s Cenlim

progredia~nur.

Primum ergo

fic

pnnc1p1um pm fupra exphcatum, fyphon invcr-

..o

íl1s ABC,

ita

l1t

pars BC longior

lic

patte A B.

qnendimus

fuperi~s,

vcl aquam BC atcrahcre

aquam AB , ve! acrem ioounbentem vali A, at-

Tom.

rollere aquam AJ.3 , eo quM aqua

impediat

gravicationem ejufdem acris in aquam AB. Po–

namus enim acris gravitarionem :rqualem elfo

gravitationi

pedum aqua: ,

aquam A

cffe xqualem

ped1bus , acr gravitans in A

fu–

perar gravitationem AB , gravitatione

pedum,

~ir

BC viginti duorum pedum,

gravita~io

aeris

111

C , fuperac graviracem aqua: BC tantum gra–

vicatione pedl!m

d~ccm.

Cum ergo aqua BA gra–

viter in A , eamque aer fuperec

gra~itatione

pedum ,

aqua BC gravircc

in C, cam–

que acr fuperer tanrum gravi1arione pedum

'º·

ideoque quanrum potdl fufientat aquam BC,

media gravitar in aqmm AB, fcd gravirntc

pedum. Cum ergo •qua A B in

habear

gra•

virarem pedum

qua deorfum impellimr,

1111•

pellarur ittm deorfum ab acre graviranre in

fed impellarur vi gravirationis ur ,o, deorfurn fe–

remr aqua AB, gravicarione ur triginra:

f~d fo~º

furo impellitur vi gravitationis acris gravrt>llllS

in Aur

Ergo adhuc furfum

ar~ollcrur_aqu_a ~

quandiu nempe aqua in EC,_fup_erabir_

long

md1~e

aq11am AB. Ofiendimus emm

wb1s commum–

cannbus, folarn Iongitudine.m orrrndcndam

elfe;

nihil conferentc rnbi craíliue ,

qt•od aqua lic

minixi motu dum tubus efi majoris diamerrl,

.A1ii