# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068193:0100
# Permalink to this reading: https://leibnizlegible.com/page/00068193:0100?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 49v, page id 00068193:0100
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=100
# Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000100.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

sect. 1. Cap. 3. De Ductibus
sunt infinities, ea in ductu quovis rectre in rectam responden
tem sunt infiniteties infinities, nompe vicibus 2 plus 2, seu 2
sive bis infinities; ergo in ductu integro. ex infinitis ductibus
singularibus composito elementa sunt infinitis vicibus infim
fesies infinities; hoc ett, bis et preterea semel infinities, et du
etus erit trium dimensionum.
Prop. 13. Probl. 1.
Exchibere quantitatem plus quam trium dimensionum.
Solidum A.
3
Fig. 13.) ett trium dimensionum. Jam
siquodvis ejus elementum in suam gravitatem sperificam du
catur,
ponderis cujusi elementum in dittantiam a plano ad hori-
i.
5
C
hontem normali, per arem aequilibris f transcunte dueatur
habetur momentum quod est quinque dimensionum. Et altius
iri potert in infinitum, quia ductus quoque seu rationam com
--t∞
positiones n infinitum multiplicari possunt.
Prop. 14.
Fieri non potert, ut diversorum sunerticici aut conporis
punctorum quod libet certe eujurdam denominationis quanti-
tatem ut velocitatis, gravitatis speuficae etc. ervensam a quo-
et necesse est semperi in-
finita n superficie, infinities infinita in corpore dari, easdem
quantitates recipientia, pauues determinatis aliquando exceptis.
Sit
C
sen
2g. 14) supterficies CED, cujus punitate; Ajo
O
fieri non poste, ut quodvis punctum E habeat gravitatem
specificam sibi propriam. Sit reita ex puncto At eduita et
ab altera parte indeterminata ABB; et sint gravitates sste
cifica diverrae quotcunque, poterunt semper exhiberd rectae AS
sibi propriam seu
ipris
est
re
s
qua
1
U
ni
+
ne