# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068193:0374
# Permalink to this reading: https://leibnizlegible.com/page/00068193:0374?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 184v, page id 00068193:0374
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=374
# Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000374.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
# Lines: 63 recognised, mean confidence 0.85
# 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. V. Cap. 2. De Motus directione etc.
Jam si L et A coincidant, itemq M et B, evanescent LA
d
et MB, fietqi LB aequal. MA; hoc ett AB; iragi eum etset
Ls. (5) aequal. LA. (A) + LB. (B), et MS. (5) aequal. Mot. (A)
MB. (B); fiet inde AS. (5) aequal. AB. (B) et BS. (S) aequal
AB. (A), id est fiet As ad BS, ut (B) ad (A). Seu ad moeni-
B p
endum centrum novum S, debet esse As ad BS, ut vertigo
circa B ad vertignem eirea A, seu distantiae centrorum Aet
c
Bà centro novo s’reuproce ut vertigines circa praedieta centra
Cumqe tam vertiginem quam centrum independenter a pun
Ao quovis ut L vel M. tandem determinaverimus, patet idem
centrum constans s eandemue vertiginem esse pro puncto r
etae quovis, adeoque revera rectam circulari circa S vertigme
mventa.
Hinc patet, etsi recta LM quoteunqi habeat si
mul circulandi conatus circa centra quoteunqie, non nis iti
circulatione simplice cirea unum centrum moveri; cum
duae componant novam, et hac cum tertia rursus novam,
et ita porro.
10
(Fig. 13)
Idem longius provehi potert, ut si in plano duo centra
A et B, ventigmum componentium non cadant in eandem
rectam eum puncto L, quod verfigine composita moveri de
bed, manifertum ert, duos esse nisus puncti mobilis L, unum
in recta LK porpendiculari ad AL, alterum in recta L. N p
pendiculari ad BL, quae sunt inter se ut circulationes; et n
sus compositus eahibebitur recta LP aequali iptam Nk D
secante diagonali parallelogrammi completi (per prop. 2) e
tunc angulo dLs recto duita LS secans AB (si opus produ
D
etam) im S dabit centrum S. Quod et sic determinari pote
rit, ut s sit unum ea punctis L, sed tale, ut ipti msus compas
cd
t
posi
fiet
reci
quo
M
aequ
ver
oru
gina
tun
et
Cent
7. C
Mo
duc
def
un
ner
mat
i
dit
aluo
uto
hent
tum