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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 11
# Folio 2r, page id 00068029:0003
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de
via centri
coravitatis quoddem Theorema calculi differentiali
ponamus spatium ABdC A. frg. 1. generari
motu motu rectae AB inter movendum decresen
tis seu post se partes sin rlinquente ita
ut
AB relicen AIH Tonsferatur in 1C1L.
er 1C1L, reticta 1 C2H ransferatur in 2C2L
et ita porrv. patet primo semper tantundem
aequili disten sumto puncto E, medio inter
A et B, et ducta recti EF parallela ipsi
rectae
Bd ago centrum gravitalis rectae AB
t vel partum ejus ulrunque motu transpositam
seu hucc illua relictarum semper manere in recta
EF. Nam semper tantundem aequali distantia
infra quam suum est, neque enim mulatio fit
quod ad distantian ab EA, sed quoad destan
tiam ab AB. J Interim qua
Ase semper
motu procedit necesse est et centrum gravitulis.
recta EF semper procedere, mius tamen quam
EF Bd. quia EB ducta in diam centri EM
dat aream ABd est. minorem utique rectonsito
ABd eergo EM minor quod Bd. Sed quanta sit
id sic in vestigabium. Novissima portio rciaquenda sit 3C3C cujus centrum
NV. quaeratur caeterorum omnium ut A1H. ICrA. 2C3HH. centrum gravitatis
P. Jugatur N. eut punctum medi ips quae secetur in g ita ut sit Q N ad
p in  ratione pondens ipsorm A1A. CrH. 2ChH, ad pondus 2 C3L. idque erit lom
centr gnravitatis omnum, qui et cadet in li recta EF, ergo Net secabit EF
in y.
Hinc puter 5. 3CyL, sit infinite parva, fore noetra infinite parvam
ergo ad habendasm punctum q. in recta EF sufficerehabere p. momentam seu
recton EZ esse distantian centri gra vitalis vimrum differentiarum ipius axis partia
axis AIH, (C2H, ZC3H at, AH, seu momentum earum id est ipsar  1C2
dutras in 1AIC erc. distahilias ab laxes qu quae utique patet spatium ABd 3
complepe
sed
CA
ut in ida finum linea ceperatuur sit AB feratur motu limlar) et inter inu
coceucentri
vendum deficiat, tunc tentum Gravitatis ipsius et partum ejus ert linea curva