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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 95, page id 79876922X:0581
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=581
# Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000581.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.78
# 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.

MImI.
ut CuI
e hipe
em tru.
IS CVE.
IlsI
IEaSIM.
BCtDa.
eatID.
BquI.
uItor.
men
atum
M dta
quali
Donet
MBre.
orem
Amita
2, Ca.
e ob.
1
DE COIMETDENTIM
C Aeur IL.
Concidentia _ DIS
coincidentia.
Productum l.
St duorum quorumcunque, alte
rum quantumcunque concidit
certio cuidaum quodtotum coin
cidit alteri datorum; ettam pri
us illud tantumcunque concidi
alteri.
EuGeorS.
Sine a, b, chro data, quorum illud quar.
ueunque (h.e. Cre extoto sire ex parte) co-
cidae certio c, quod corun. concicue altari
ddtorm: b. Dico, etiam prius illud a tantum
cungue, h. c. eotum, (r iltud ex toto, ret laltem
ejus Partem, (i illud ex parte, (tancum nimirun
sen er s adt minimum, quancum ejus ipst ter
tio unitum est) coincidit alteri b.
Demonstratio.
Cum enim a coincidat iph c per hyp. co
incidet eidem vel exaequatire. vel inclutire
Si exaegpuatire, aqué lae parebune, atque ita c
erit uc totum; a vero ut omnes ejus totius par-
tes: Si inclurE, CxIEC UETOE, a verO vE
L. + 4
epr