# Leibniz Legible — https://leibnizlegible.com
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# Title: [Quo Continentur Claudii Ptolemaei, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunae, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Graece & Latine Edita, cum Notis ; Accedunt Epistolae nonnullae, rem Mathematicam spectantes; Et Opuscula quaedam Miscellanea] Quo Continentur Claudii Ptolemæi, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunæ, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Græce & Latine Edita, cum Notis ; Accedunt Epistolæ nonnullæ, rem Mathematicam spectantes; Et Opuscula quædam Miscellanea (shelfmark Leibn. Marg. 100:3)
# Folio 605, page id 867984570:0641
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=641
# Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000641.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.80
# 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.

uo
oli
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P A PPVS AL E Z A ND RTNVS.
Ear de x dconcorev F8 CoKoVS FcV BA pen
uErpe d rereado5, dnnot b perpsvor
ara F R, et duo 101d se arcorepor cd ei
Xdy. L0 587,  CM T8 ReupasB dvo, i rot Ea
30174d05, popiadES ctoW Exdso uot TI R.
Kai ChWV O Ct TCoV AB LAL. 506603 0O  Exo
rov pbpraidaes epcoripes sH. X0 gea ppmSV cos
a. XV. 2v. 3, dv ~tV.
pb.
A o cor .
2. Id enim (UPFA OITCHTUHL CML. LC PFOPTerCA,
Si vero duplum numeri numerorum AB nOn
etiatur guaternarius: certum est quod quater
narius illum dividens (puta per K) relinquet
ob reliduum illud 2, Peu centenarii, crunt my
riades cencum cognomines ipsi KL. HF qui ex
ip(IS AB, iptiIguE C DE, Hc Tolidus; est nu
merus EI, in centum myriadas ip( R cogno
mines ductus. Lals eoMatto, prout
apud Apollorium.
24400, 0000.
200 200 300
244
LAOTOBETIO AAV.
RF.
(yo Scur O AB) enáaor  ExaTOrTa
Sos, uere Spdvos Sd uno senados ExaoS
St 7 LL Eeco raaret sexacos in stor
ecco 2 dE aVECON EEPCOV et XEir.
In cheoremate 25. Sit primus quidem (e
secundus, AB) minor centenario, sed de
nario divisibilis: numerorum vero CD F.
quilibet denario minor: 5 oporteat soli-
dum ex ipsis exhibere.
Ercvour que Z AB mbciies oi OK, i rio CUnto enim numerorum AB Fundi HK; e
ICK F OKPAE GEpEto 1005 = e5c0 o A. (AE-
Yc ) em o ex E ABFAEioOS esir exarov sois
A. Est de Parepor 29 F ae, uv. TS A ovro5
1D Tolido ex iptis HIKCDF aequaliS L nU-
merus. Dico, qui ex ABCDF. tic numerus,
est cencuplo numeri L aequalis. FIL aurem in
numeris maniteltum. Policis A 20, et B20,
uoradcor , ngi TBB poVad Cov H, C F8 F u item C. 5, D6, F. 7; iptisque Fundis FI I 2, 2.
reedcor E, C FZA poradcr 5, i 58 F poradcor Oui enim ex HIK CDF tir numerus est 840:
ig ZOK mdicor orrcor poradcor B. O jue qui centies sumptus erit 84000, aqualis nu
Ld TEV OKFAE gver)aeuos poraces mero Tolido ex ABCDF Facto.
coM. Ovros de enarerranis quir  esa pverades n. porades d, IooS FUI Ex FEV ABFAF
EEpecd ae.  uo.
Eri si E ne DecDnNATOS. FGtO d id EOPETOS
NV. 9, M0. d.
20. 20.
8, 4000.
840
PRO.
Lcccla a ei La
a Proex Z du dio inxrorrudeos, restituo ex conjectura, en P egesaros duo, uret enarorrudos. B Dro iiticy ex gatia
SopEoS. e PrO Xns, resticuo ingrorta. Suspicor aurem hoc exempin psse cum alio contundi, in que
fuerine ab inicio rres nuneri denario diritibiles, (qu0 calu  lor et xindo habto t, et bB
inter se contulis hoc sphalma nasci.
reponO engiror. a PrO iscy SubstitO ec. L. est ZeNos. SubimO esir enaeror.
a ReDOND