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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
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Prop. XI.
De Lydrostaticis.
PRO P. XI.
Positis ne prius; Si tubi sic inversi alticudo (supra A B plamim ) F∞ 319.
CD, minor sic quam CT, (quo, S locus eset, pertingeret hydrar-
Srrum;) adeoque, qui partibus reliquis eminet, aer praeponderet:
Ouantum valet haec praeponderantia, tantundem pressui in C Sur-
sum concedendum cst; quod aequipoltet sublationi tantidem ponde-
eis incumbentis, aut ponderi aequali in adrersa lance posito: Ad-
eoque tanto minor Vis (sire in tenentis manu, sive ponderis in ad-
verla lance polici, sire alias similiter applicata,) requiretur ad tu-
bum sustinendum in hoc casu, quam in calu propositionis prXCC-
dentis.
Oux vero in ea alticudine sustinere potis e Vis, mon tamen altius
elerabit; proxter pondus elerando auctum, seu minurum subsi
dium Vis surlum premenris: sed neque in majore alcicudine susti
nebit.1
Om enim Vis surtum in C, poris sic tustinere cancundem ponderis quantum
est Cytindeus Hycraroyri, Cuper ea bale, alricudinem habens CI: lieque
C. D co pondere minus: Sulcinere ralebir (et, nisi aliunde impediacus, dlerare.)
praecer illud hydrareyri quod incumbir, cancundem ulcra ponderis, quancum illic
a julto pondere dect; Adcoque canto onere sublerare lultinemis manum (seu
quod hujus instar est;) ec propterea tanco minus virium requitetur, quam (qu’i
casus est propoticionis praeced.) si Hycrarorri Cylindrus jullam alcicudinem CI
Obrineret.
Fc quidem subsidium, illud a, vi surtum premente propter Hydrarevri alcicu-
dinem julta minorem, cancundem elt acque addicamencum illi aequipollens sulti-
ventis riribus additum, seu pondis aequipollens in adrersa lance politum. Ec
Li, quod porro deest ad pondus prop. praeced. requisicum, in lancem illam immit.
racur; sullincbitur cubus (CuM ICUmIBEHLS acTC) Paricei alque si in calu PrOB.
Praced. tocum illud Dondys immitteretur.
AE vero, uuc cubum sice luctinere postii, non camen elevare polerie, quoniam
prour eleracur cubus (donec, act justam alcicudinem C P Derrehic) alurBEL ICuS
Gydraroyrum (proprer locum jam factum quo recipiatur) adeoque minuicur quod
prius erac sublidium, adeoque vis (debilior lacta) cubum fultinere in ea aliicu-
cine non, POcis CTII.
Et quidem, si alia vi alcius eleretur, sibi camen permista; ad eam alcicudi.
nem deprimetur: Sin intra decrudatur; eo allurset: ut nempe, praerer illud one-
ris quod ponderi P aequivoller, reliquum quicquid sic aequipolleat Hlydrareyri Cy.
lindro CL. 1, Rua OmniB. Det pEuS demonstrata conttan.
SCHOT YVM
COnima rei huc redit. Ae quabilis aeris alibi incumbenris preltira, porest (per
equiponcerantiam Tuam) Cyltinere in C: Vel Columnam AeriS reguraltam;
Vel Columnam Fydrarsuri eidem aquipollenrem; Vel parcem hujus parrem illius
(qua simul carum alceri aquipolleant:) Non aurem ucranique cocam, auc plutS
quam quod earum alteri aquipolleat.
Adeoque, Si parS C, externo ACri exPONatK: Suctinebitur hie, ut in parcibus
reliquis, Columna ircumbencis Aeris. Sed tune nihil ulera Fydearoyri Sultine.
bic vis ea, nedum Elerabit.
Si ab Tncgmibencis Aeris prectu (inverti cubi Futido. vet ine.) detendatur:
sultinebie its vice, Columnam Hydraresri eidem aequipollentem; duc eriam
Si locus SC Glio recipiatur) rancundem elerabie. Ae vero jam nihil Aeris su-
stinet; quippe d quo detenditur ab inverso cubo, qui aliunde tustineri incellixi-
cur; puia a cenentis miaiiu, vel pondere in adversa lancc.
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