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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 47, page id 00068192:0047
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ut superficiei RS sOLidum ,R ZR ZR 35.
2515. Nisi tamen lineu red superficies
per sua restigia incedat; ut ABCD.
S sit superficies ABCdPNML
inea vel supeficies cujus pars quae
e
Opa
eunque e in qua non est extremum a
I3CNM
succedit in Locum alterius ut Deitaut
BCNM
coincidant Locusprior ipsius  nempe
1BICINIM
i, & Locus posterior ipsius  nempe
2C2d2P2V
2C=B. ex Lineis autem non nisi recta
arcus circudi, V arcushelicis sive cochlet
Cylindricae per sua restigia incedere pos.
sunt; quoniam ea estharum Linearum
sodarum communis proprietas, ut diuersae
quae cunque partes aequales unius Linece
inter se congruere possint,  in recta ex
tremis congruentibus etiam congruere
debeant. Cx Superficiebus soda planct
S Spharica, IeyLindrica, et cochleatim cy.
Lindroincisa  omnes rotatione genita
possunt peralius aequades & similes seu
caeterae rotatione genitae
congruas, incedere; sed hanon nisi uno
modo rotando scilicet circa eundem axems
at sod superficies cydindrica qua superve
alia incedere potest adhucuno modonem
pe ascendendo aut descendendo; (ad eo que e
composito ea circusatione sascensures
Dedcendu
Descensu); cochleaca ne rotando quidem
sed uno modo tantum sibi proprio ex ascen-
su  descensu misto, ut in torcularibus vi
demus; sed sphaerica splana modis insi-
nitis, in omnes partes. SoLidum autem mo-
tu suo non nisi sedidum describere, nec
noram dimensionem producere potest, ut cubus
ABC DFFGFL intra duashedras oppositas
continuatas eD e BC incedens, stransiens ex
ia 1B. C in 2A 2B2C, nit aliud producit quam
solidum, quod etiam produceret sola hedraci
IA.DLC LH transLata in ZB 2F 2C+ 2B,
nempe para L Ledepedum 1A, C. 2B2F.
Nam omnia puncta solidi, quae non sunt
puncta superficiei ambientis, cum durante.
motu non nisi in Loca punetorum supersiciei
succedant, non aliam riam designant, quam
ipsa superficies.
COnseccarium;
Quidquid movetur describit riam.
Semper enim est in Loco, _datur Locus adi-
quia in quem cadunt haec Loca omnia, idest
(per Def. praecedentem) via
COHSCCTarIUM 2
sequam Via per partem temporis impensi
continebitur i
abmmobili descripta e pars via integra eo tempore descripe
ab eodem mobili des cripta