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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 51v, page id 00068193:0104
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AC
Sert. 1. Cap. 4. De Ductibus
ldum ABCD quod gyratur cirm anem 2E; quantur ejus m
C
petus seu quantitas ipsa motus, quae est quatuor dimentionum,
si solidum uniformem habeat partium gravitatem. Jam per
O
Le axem transeat planum LEf et circa 2e deseribantur quol
libet superficies cylindrorum rectorum quorum hu ett axis,
qualis superficies ett GA1KML, secans planum m LM, et so-
Udum portione sui IKML. Cum ergo omnia sectionis JLML
puncta sint ejusdem velocitatis; sumantur quot superficies cy-
lindricae, tot rectae M. N im ipris LM (si opus. continuatis) ad eas-
dem partes applicata ad rectam AM, et rectae utae M. N sint
in compositâ ratione sectionum solidi et velocitatum quas
habent sectiones (cum eadem sit in quovis sectionis ejusdem
puncto velocitas) adeoque impetui cujusa sectionis proportio-
uales. Idemque 
s
L
motus proportionalem, ita ut portio ejus AN M sit ad totam
1
AND, ut impetus pontionis a superfieie cylindrica abse-
AB)C
a 6
a 51
etae, AddcKML, ett ad impetum totius solidi. Et similiter
ut figura AN Sd et ad figuram aliam secundum aliud soli-
dum eodem modo factum, ita erit impetus solidi hujus AB-
CD ad impetum soledi atterius.
Def. 5. AdpLICATrM Sos
ius
ed
DEM NoMI
NIS ADPLICATIS CONSTISUENTIM RLSULTANS est id
quod absolute ductum m totum tantundem. efficit, quantum
actum ca omnibus ejusdem nominis m constituentia or
dinatim duitis.
5)3
gentoque composita, cujus partes viciniores caetremo B sint gravio-
res, plusque auri habeant; ita ut gravitates specificae crescant
in
38
fa
tut
N
tut
B
no
ag
dit
gr
du
a
tet
du
ex
et
Ca