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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 227, page id 79876922X:0447
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=447
# Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000447.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.77
# 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.

le
1
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UI
q
dii
slu
mulI
sumn
2d
deci
tEua
OUIS.
il
bia
5bille
0
1
I
A SAPTEHTLA LIVTNA.
omneni samtrimano
2
quam serio id trac, quando v. c. miser ille slori-
otus, unicum llorenum poslidens, quaelicus
quantam vim pecunix haberee, aic: centum se
Aorenos possidere, si accederene uni Roreno
adhuc 99.
Aicerum Exemplum Analyleos qua jam in
Arichmetica rulgari exerceri solet, est Division
qua ratio modalis, inter datosnumeros, ut inter
dividendum aegue dirilorem intercedens, quo-
eo detinitur, canquam hinc educto rationis Ho.
mine: quod iptum etiam est Factor alter, (causa
altera quaelicai analycice resultans, ex producto
dato (ex ertectu dato) per factorem unum una
datum resoluto. Sicut d Productum ipsum ue
qualitum, dici pocest eomen rationis ab effe
etu tumtum, intercedens inter datos numeros
tanquam tactores, (caulas) qui per Synthesim
consticuune effectum hunc. Nec enim rario-
cinationis jus aut taculcarem imponendinomen
rationibus modalibus, Dirisio magis exercet
quam Tancuplicacio: nec masis q. lunt nomen
rationis inter 2. e 12. intercedentis, quam 36. c0
quod ralor trium ad duodecim modalis, aeque
terminos tancuplicando, ac commenturanlo
cerminos, cognosci possir: nil quod prolixior
Tic cositatio prioris quam posterioris. Procom.
pendio proinde factum est, ut geometrica tive
modalis Drumerorum Rario, per Duerum, non
Per Tancuplum, denominari vulso leu deter
nimari loleat ab artificibus: cumetiam pertan-
CC 2
cuplUm