746346

De Machinis Hydraulicis:

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P R OPOSITIO XVI.

Problema.

VM co11f/rttere

i11

quo q11antumlibet htt11ria<,ma11<–

bit tttmen liq11or'

radem al1iwdi11c.

H a:c praxis uriliaima eíl: pra:cipuc in lucer_nis,

nempe oJeum in eadem femper manear •!mu–

_.- dine ,

modo uror lucerna co modo concmna–

ti,

Sir ergo lucerna A B iníl:ruél:a tubo CD E

ad fummirnrem

fer~

pertinente, Sirque foromcn

B, quo oleum in recepraculum B F, polfü dllue–

re. Dico in recepraculo E F oleum femper in

ei–

dem aldrudine pcrmanfurum. Cum enim oleum

fra abfumprom fuerir ab igne , uc tubuli CD E

exrremiras E acrem an igetir ; acr per rnbulum

EDC , ingredirur ,

tune per foramen B oleum

flucr, donec denuo orificium E obrnraverir, tune

enim ce!fabir olei fluxus. Arque hoc modo,

etiamfi

lit

lampas , qua: ad mulros menfes fuppe–

di,rarc poffir, in recepraculo ramen llF , olemn in

eadem alrimdine confiíl:er.

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P R O P O S

T 1

X V II.

Problema.

Tmiam

fantü

partem ad altitudinem d11plam,

mra~ue

vi e. .:puljiva,

attraaiva attolltre.

Sir fons A, poffir aucem aqua cadere ex A,

in B, ranrum '·

fir propofitum eam acrollere uf–

que in C. Fianr tria vafa undique claufa, nempe

B, D, C. iofüuél:a fyphonibus, ut figura i11dicat,

Sir

aum~1 v~s

_D duplex: non:appono claviculas,

quas amfic1s mgemo excogirandas relinquo. Sir

ergo mraque capacitas

nfis

D , plena aqua, finr–

q_~e

vacua

va~a

aqua defcendcns per

AB,

aerem _ex_pclhr ex vafe ll, acr cxcluíus ex vafo B,

afcend1t m vas _D , excludirque

aqu~m

, qn2! ad

a:qualem almudinem afcendir, ncmpe ufque ad E.

P_~nccr

aqua decidens per rnbum F G, amahir

~ercm

ex vafe

acr atlfahir aquam ' jam

con~ftenrem

'nfque ad

Neque hoc mi–

ru~

v1den deber, obfervant\tr enim leges xqmli–

bm, ncmpe

dupla aqu_a cuÍn media fui parce

".fcendcnre pcr duplam almudinem ,

fic

in :rqui–

libno,

oíl:endimns in ll:arica.

!'lorat~dum

aurem

ea1~dem

in hac praxi inve–

~un

difficulr_atem • qu:e m fuperionbus aliquor,

~~l~~~udendis

aperiend1s idcmridem clavi-

No!' po'.uimus

expulfiva folá aliquid cfficc–

re , mfi

ena~

con1ungcremus aliud principium,

nempe grav11atcm aqn:r decidemis,

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PR O PO SI TIO XVIII.

Problema.

Fomem in

<J".°

avic.tla totam aq11am farbtt vi

exp11fjiv..

flttralliva

c011f/rnere.

, Sir coníl:ruenda machina in qua avicula ron–

rum aqu:e forbear' quamum

fome ahquo pro–

fluit. Coníl:nmur vas A, ll , d1v1íum in duo dia-

phragmara, !inrque ambx illius capacirares plena:

aqná;

fir

imn fyphon C D , dulh1s per pedes ,

corpus,

rofüum avicula:, firque immcd'l1s in

aquam; lit

aliud vas E, plcnum acre, obtura–

rum tamen. Aqua ex vafe A, pr:rcipitabitur in

vas E , CJ"icietque acrem , qui afcendct in vas B,

excludcrquc aquam,eamque atroller in falienrcm,

qua: quidem clarillima fum,

infpeél:ionc figura:

per

parent. Non appofui amcm claviculas bre–

vítatis cansa.

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//i

rarefailiva condenfativa

elttjlica.

P R O P O S I TI O

X 1 X.

Problema.

Vi• rarefaé/iva ig11ü , falientem ejforinare.

Diíl:ingnn vim rartfaél:ivam

vi ebíl:icá ,

vim comprcllivam

vi condenfativa. Rarefull:io

cnim ex ca\orc orimr,

condenfario

frigore:

ira acr calore fcrvens , rarefir ,

ad majus fpa-

cmm