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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 59r, page id 00068193:0119
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Sert. 11. Cap. 1. De Motu
Fig. 9.) Cubus ABCDEFGH intra duas hedras oppositas conti-
s
nuatas ED et BC incedens, et transiens ex 1AIBI C in 2A2B2C,
nit aliud produut quam solidum, quod etiam producer et sola hedra
ea 1A1 D, C1 H translata m 2E2F 2G23, nempe parallelepidum
1A1 C2B2F. Nam omma puncta solidi, quae non sunt puncta su
perficiei ambientis, cum durante motu non nisi m loca punctorum
superficiei succedant, non aliam viam detignant, quam ipta super-
ficies.
Consectarium  Quiequid movetur, deocribit viam.
semper enim est in loco, et datur locus aliquis, in quem endunt
haec loca omnia; id est (per def. praeced.) Via.
Consectarium 2. Si quavia per partem temporis im-
pensi a mobili it descripta, continebitur in via integra eo
tempore ab eodem mobili descripta.
sit (Fig 20.) temporis SM pars PV, et via mobilis per
tempus PY sit E, et per tempus TM via ejusdem sit AB; Ajo
E esse partem ipsius AB. Nam E ett locus omnium locorum
mobilis durante tempore V (ea def. praeced.) at loca mobilis
durante tempore v sunt etiam loca mobilis durante tempore
SMi eadunt ergo in AB; Ergo id quod contrituunt, nempe via
E, cadit etiam in AB.
Consectar. 3. Parte temporis impens describitur
contentum n qua.
Tempore SM (Fig praeced.) deseribatur via AB; Ajo parte
temporis ut y deseribi contentum in via, ut CD. Nam quia
mobile movetur tempore J M, movetur et tempore Y (per
consectarium subjectum definitioni tomporis motus); quicquid
autem movetur, desoribit viam (per consectar. 1. huc); haec via
sit E; jam e est Cutentum iptius AB (per consectur. pracid.) quod
vocctur e ltague habetur propositum.
+9
Conseet.