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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 216r, page id 00068193:0437
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=437
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.79
# 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.

un
qua
pettr
Ht,
resce
nos
eas
+ 
se
sse-
n7
18
divi
quiba
con
at
De Concursu Conporum.
nulla sit ratio declinandi in alterutram partem, et motu
quoque qui celeritate st ut motus ErA, alioqui vim amisisset.
jam serrat praeterea et motum 1AE, idert, continuat
motum et aqualem et aequidireitum E.3 A; Ergo c compo-
sito motu 2AE. et E3A fit motus 2A3A, angulo 3Ar AD.
aequali ipri at 2AC.
Hanc rationem demonttrandi aequaliatem anguli inci-
dentia et reflexionis primus invenit Replerus in Parali-
homenis ad vitellionim, quam deindem rem suam trans-
Ae e
talit Cartenus.
Sed idem alia non minus pulchra ra-
tione demonstrarunt veteres, Ptolomaus et Heliodorus
as
arissaeus: quod Natura agit via, facillima qua potest.
Ergo A penvenit ex ut in 3A per reflearonimo via faul-
lima qua potuit. Et cum faclitas hic m sola brevitate
viae intelligi possit, quia uniforme est medium sequitur
it ea ut pervenire in3A per 2 A punctum reflectens
talo ut sit 1A2it +2 A 3 A omnium possibilium via
brevissima
1g
iul
acet
A
cit
AC
M
prop.
Cum
nulle