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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18A
# Folio 313, page id 00068191:0313
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+ vel alio liquore
utrobique eodem
unum potius quam aliua obtineat.
Nulla est igibur ratio cur aas
cendat, B descendat. ldemque
est argumenbum, si contraas
cenderet B descenderet A
Poberit etiam ostendi da-
ri motum perpetuum Mechani-
cum alterubro ascensu admisso.
et multa D seudomechanemata
huic errori innibuntur. Pacet
tamen eam methedum varietatis
causa sequendi propositioni ap-
PLicare.
Prop. 19.
si duorum vasorum inberse in
ferius communucantium Liguores
nb.
graves similes chabcant suas supre
mas superficies in eodem horizonte.
erunt in aequilibrio.
int tabi AB 8C D interse com
municantes in C pleni aqua sintque
superficies aquae AF, C G incodemho
rizonte, ajo aquam in aequilibrio esse.
ponabur enim alterutra praevalere,
Saquan D expelli ab aqua AB,
quid quid expellebur udique elerabitur
super horizontem CG. Seu AF GC)
ad
1o-
ad altitudinem aliquam ut Hl, si tubus
DC paulominus quam adHt productus
inbelligabur. Ergo ex HL expulsa aqua
fluotin vas AB, e ita motus perpetues
durabit, isq mechanicus seu cum excessu
poteribenim aqua delapsu suo ex T
ana
aliquam machinam circumagere, et
aliquid operari salvo defluxu, et
proinde satra perpetuitate; quod est
absurdum per axioma superius) itaque
aqua in aequi Librio est seu quescito si
aliunde in motum non concibetur.
L.
rOpd. 2.O.
si pondus in plano inclinabo sit
ad pondus Liberum ub hypobenusa ad
Cabhetum trianguli recbanguli hori-
zonte plano inclinato, et per pendiculari
contenti, pondus inclinatum d Liberum
sunt in aequilibrio.
sit pondus Liberum D in plano
inclinato positum C. ipsum planum
inclinabum AC briangulum ABC.
ubi hypotenusa AC, cathetus AB,
horizon seu basis BC sitque D.
ad E, ub AD ad AC; ajo esse in aeque
Librio. Bonatur alterabrumdes
velut
cendere, ex D in Hascendereque 
Ein Si