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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 430, page id 867984570:0458
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=458
# Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000458.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 81 lines, status machine
# Lines: 81 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.
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# After the first blank line: the recognised lines in reading order, one per line.

A NVF L IS BR
X I
Korror rcxopcor +Z daror oaNS sS nai r8 ourors XaTEVS.
Commusle tecracrum Cnero salb. d Ga eo Sylconi diatoni.
uncosot.
Xavo
MpoMot
incae
Scripsimus; (quippe hae sunt partes quae in ex-
poltis rationibus sune ad exauditae:) Pum pri.
mum, numero octosinta, addidimus iplius partem
decimam, hoc est octo; factumque ex hac adi-
tione numerum octosinra octo, (80 + 8 =-88,
juxta illum adscriplimus: Deinde, eidem item
addidimus iplius partem octaram, hoc eAt de-
cem, (80. f 20 ==90,) factumque ex hac ad.
dicione numerum, adscriplimus juxta numerum
octosinta octo, (80. 88. 90:) Posteaque ac.
curate conliderarimus, quantus cst hujus nu-
meri terrii, nempe nonasinta, excetlus quo
superat secundum, seu octoginta octo: (90-
88 = 2:) cumque hunc este deprehendimus Ara, de us VEpOXn n W EpEX C TB d_rip8, 11201
duarum monadum; inde percepimus accurate,
quod majoris rationis (nempe sesqui- octavae)
exceltus quo Cuperat selqui decimam (sccun-
dum proPOSItOS nuMErOS) est Binarius. AC.
que lic tandem perspeximus, harum duarum
rationum exceltum, nimirum duas monadas,
quanca pars sit numeri secundi, nempe octo-
Sinta octo: 2) 88 (44: cumque hunc de.
prehendimus iptius eAe parrem quadraselimam. 28 dd reps api Du 8, iro1 5Z oy doniOvTa OxrW K at
quarram; rationem inde ad exauditam, nimi E iEe eipopdis avrs TNaCGHO= VTaPTOV avTS
rum se(quiquadraselimam quartam, allumentes,
accurare dignorimus, eam ee rationem ex-
celtus rationis sesqui octarae, qua superat sel
qui decimam. Oux duxe rationes nobis crane
propolica ad dilquititionem exemplarem dicti
theorematis generalis.
vega apedan ravra idhes i Id ravra esi rad pueprt
a Ey 5013 CHBIS NOYOIS WEOOEZAKEOpLEVa F
a GCo  ESOECpV r oydoynovra dxiB
pco, x dexaror aorz pes , irot ra ouris ry 
QQuo  BOBGOVTA OUZC dIDuOV eK D rocaUNS
pocdecos anereq  apueda c ZBV Endra
 nan poCEda per as x 3ydoor ar pepos,
rot ra dexa CC 4 Quépoever cos axid oy ex Y 2-
aurns eW pocd EoEcS, aye a
oydonnora oxxC Kat p raV enonc a
ane  6CS, mon HS esW n 78 ~e1T8,  2o1 28 erveri-
23oy donnerra oures Kai enedn eopopuer aerlin duo
povedcor vnapxsouV, nartN Daper  es CCOS E-
roder, co5 n 23 pciZ or O N0YX VN CCOXN 1701 +3
enoydes, n InEpEXC Y8 emdexaTS, Nara CV  po-
nccd1 85 d qdS, duas er. Kad cd erco rend
TjOV HaNW EDECOPHOC PLEV Z 70ISZ COVd10 XoycoV Elud
Vrepoxu, yrot ras duoporadas. noor p6 esi
p O OYXCVSOUV, F poochanSepeO EE aurod
NorOr, nTot F EmrcosapanOGorEsapoV, eiNy PerES de-
rocoper dixeABCS auror eiras N’oyor D V EpoxyS FS
enoydos neys n inepexl SroS FS emdenarS. Kat
id srot ei duo Noyos inErGour uiv, eis Son
inod eruanum rs cipupdis nec doams docopypatos.
6x 10 = 60. L10 = 10 = 80. L 8 = 8 = 80. 30 83 = eo. 1 = 41. 2  =
SECTFO DECTMA.
De Sectione eeneris Mollis.entoni.
NVM de sectione generis cm BIaIDHI.
aequabilis, eum Syntoni diatoni, diste
ruimus, quae postulat quae his convenit
concisa oratio: Proxime de religuorum gene
rum lectione, cum omni perspicuiate e aCCU
a SuDDleO nara ropenS.
PM HM A AEK A FOH.
HEEC) D uararouns rod uanans errors s.
TaNaBOVES Et  ssstAS 1  V
Ters oua 8 185, 3 F8 ouOTOVS D)4F0-
18, eou o rEoonNaV aVrois ourre penduo
a rur No7 O. EEis n)  Et D = HATATOIIHS FEV
2NOi CoV pcv, pEs ivnS oub  e
CEta
opde
et