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# Title: Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi (shelfmark Leibn. Marg. 230, Stück 2)
# Folio 31, page id 1815206918:0036
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815206918&page=36
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.86
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ViA D R A X V R A
Ouomodo ergo vocanda cric, inguies, eacio rZ. 2d 2, COmpaTATA Cum FaTIOHCLL
ad 4. Cerre non porest dici sexcupla comparaca cu cspa, l in minimis numeris
eam comparationem exprimere vis; nant Lar 12. dd 2. ad. racionem 12, ad 4. est
ve 4. 2d2, vocanda que cec dupla comparaca cum Ampla. AduerEe tamen quod
licec FaCID 12. ad2. Comparaca ad rationem LL. de 4. NCetur rario dupla comparaca
addere ilmipla; ham tune lcltabie exemplum = e - incecedencelque ctunc di-
verx e conlequens commune; addicilque ancecedencibus auxehitur racio. verum
rediei debec prior racio ad inimos terminos re 12. ad 2, ad rationem 6. ad +: lc-
cunda vero ad minimos termihos quos paticur idem antecedens. 6; sicque demum
Aabit exemplum =1. addancurque consequences, henc 3, e prodibicratio 62d
3. qualis est 12. 446, quae diminidea est duabus cerriisraciones 12. ad 2.
cum simpla; Acamen tacionem 12. 2d 2. addere vis racioni 12. ad 4, 2c ptopretea
rationem 12: ad 2 reddere diminueam duabus cerriss, non postis duplam tacionem
iCFi
illarium octamut.
Lhoc PateF B. VCrIEAS LLOp. 54. Operis GCOmCr. I. 10, qua dicitu, A dentur dux
seationes A B ad C D, A E F ad G FI, quarum cam ancecedences quam conse-
quenres diuisae sine in quoccumque AL, IB; CK; RD; E L, LF; GML, MH; Fa
FioneM. AB ad C D, esle ad racionem B F ad C+ FL, veraciones A I ad C K. A Iad
HD, IBad CK, IB ad KD simul lum PEX, Tune ad rarIOnCS F. L ad GNIs F L ac
MH, LFad GMI, L F ad M EI simul CumpeaS. Pacce inquam, quia, rariones qua-
cuor primae limul Cumpex. Cnc Abi inuicem addica co modo quo dictum eAtin COTE.
7. Cunc ipcissima ratio live consticuine iplam racionem AB ad C D; SimiliECF CX F2-
cionibus, quaruor secundis sibi acdicis eodem modo consticuicur ipsistima ratio D. P
adCTI. 1
Acque exhoc d corrollarium eiu ldem proxolicionis Acmanifestum, quod sc le
traheei
Si eationum AB ad C D, _ F F ad CFI parres cadem aur smiles Faciones Fue.
rine (in idem enim incidic rariones essesimiles e ealdem ve parer ex l. 8. de Propor-
eional. in opere Ceom) cum torx rariones exdem aur similes crunt. Hoc eAt B rario
v. 9. AIad C K similis sic rationi E L. ad C+HI, icem racio A Iad R D similis racioni
F L adMIFI; cursUS racio IB ad C K similis rarioni L F ad GNI; denique de racio
TB ad KD, similis racioni L F adMIFI, criam cora racio AB ad C D similis cricra
cioni EF ad CH, pacec ex praecedenti. Acque sic complanara eAt ditticulcas gu
in 2, 3. e 4. Quacracura pOHIeC OCCUTIETC.
 . e t t      p   t     u   u n au  o  p       p   a a  m