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# Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65)
# Folio 65, page id 79876922X:0125
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=125
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.72
# 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.

MI
rot
II
se
D
AH
net
1
H
e
i
(
M
I1
e
I1
1
11
A
o
DE PRTNCTDTISOVANTITATES.
d7
TIO vocatur, si relatio ed icopum cerrum qu’a
drac, 2. C. Ei quaternis suis cerminis ad eum ob.
cinendum in continuo progredicur. Nam bin
nae rationes, comparatae inter se, bis binos ter-
minos exponune, unde rex Ouadrare nataz
12
Oracis ruadrarura lxec Yt LRACi LLS appet
daEUT.
Porio securidum Duancicarem duplex eAt,
vel AHIPTIMIEETCIA Ceu disseremialis, pee
suberactionem altimabilis brevislime; vel GFO
AIF PRIC.A d quociformis, per divisionem a
stimabilis brevissime. Veraque vel aequalita-
ris est vel inaequalicaris; de haec vel majoris vel
minoris inequalicacis, Prout majorterminuen vel
minor, primo loco pontur, ut sit res mentu
rancta.
G. 22. Ratio Arithmetiea equalicaris (V. C in
cer 686) vocatur Ravio nibili, quia nihil disse-
runt, seu mullam habene differentiam, hi duo
Termini. Racio majoris inaeqralitatis (inter 6.
e 2.) Posucroum habet nomen, plusquam nibil
notans, uc h. I. 4. greis ille numerus (senarius)
excedit hunc (hinarium 1. Sed Racio oppolita
minoris inasralitatis (inter 2. e 6.) idem no-
men grantitate, privacivum tamen, habet, e
stacus opposiri, quo Ratio minus quam nihil in-
fere, uc tr. I. 4. quibus 2. deticiune a6, de tanta
minus ralent. Ovatuorenim hrac fenario non
tantum nihil addunt, sed de respectire, quate
DB. us aegrandus cum binario, collune ex eocn
cum