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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 17
# Folio 8v, page id 00068170:0016
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Cum suis Tubis et ponvera quidem poni aequalia
diametris
aterum supposuimus dactenus tubos esse aequales
sed si inaequales sint etiam pondera non erunt
aqualia, sed capacitatibus ruborum, id est Aquadratis
ab eorum diametris) reciproce proportionalia
Hanc enim in rem sufficit considerari pondera duo
D et C cum suis tabis 1. 2 et 2. 3 ubi
anea
si tubi suit aequal inaequales, e et 1. 2 major
at 3. 4 minor, tanc descendente pondere B et
attrahente pondus C sine fluidi dilatatione
per solum ejus motum pondus C ascendit tanto
mas quam B descenderat, quanto tubus 3. 4
est minus capax tubo 1.2. itaque aequilibrium erit
si pondera sint reciproce ut capacitates tuborum
Unde _ cognoscimus tensiones non tantum pon,
deribus, sed et ponderum in rem tendibilem
effectibus esse aestimandase. et duos tubos inae-
quales quadammodo lepraesentare duo unam
hordam inae duas extremitates ejusdem chordae
int rassitie in aequalet Sed quod de duobus
tubis inaequalibus diximus, non de potest applicari
justem vasi.
ad chordam duas exetremitates ruae qualis crassitiei
habentem. Nam utcunque se habeat chorda non
potest des chorda moveri sine tensione quin
descendit
unum pondus tantum ascendat, quantum alterum.
interim verum est phordam oluribus filis constan–
tem ab eodempondere minus tendi, et duplicata
phorda tore dimidiam in partibus tensionem.
itaque verum est hic quoque pondiora, sed mbi simul.
minus descendere sed aeque ambo, minus descendere
in
ipbcac
ad eandem vim tonicanichorda trassioet efficiendas
deet tensiones in eadem phorda diversae crassitie
sou numeris fieeum
dinis, esiu chorda editibar eciproce proportionales.
13
se
erassitit
muttipliciatis
vi tonica uttalibique aequali existente et per pondis
alterutrum penderum, utique aequalium, astimanda.
(ut si
fluidum
a
non
aqua)
in
no