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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 413, page id 867984570:0441
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=441
# Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000441.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine
# Lines: 74 recognised, mean confidence 0.81
# 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.

EI A R M O N IC A.
RCiNEaE F OAnS E DOCQS I HadtoS SdyZpa tota VnirerR cireuitione; quae est uniuS (par
XosoV pè O est D poieqs. Tl de Zeplevlo, r1o
QuaNCo Na arS CC pesc e Cr ova5, evet
oner esir dondroutlo, pcipas di reponaidena
Resa DE NECUT TEOSAPEONQIDENA; SIsE euNoycoS 
pev, Eiraet navrcor eEvra Elo dE, I avrcV B0a
dorepar. Ooot toicepSV ra5 rolaras 0 Déois,
T CoMarcoCV KIVOECOS arVOSOI Y nNauor 8
u raEi F cid cov D pCNCodhas, n5ot FCV xome
Vo Y pICAOTDICOV NaN SCd nXcor, cidevas ane
Bcd5 nohC EFBOIV aMa MVTCS di necororcido
D MENcdtaS, Vio cnetan  MeVEEV apadia
E6douior ai oinoor) X de devrepor, éxror x d
relror, nEunor X) sctaoV, LPTOV (C ava
Xv. O Id an SoS o7 0 pv 0dCC105 1ov05, V7
2e D vyTyS TCNV VAEPCONaCON CC F pConS WEIEXE
odEZ prGONVdtS V ZE D LCdaHS TCV LaZ
n D Wd Dapcons SroS navruom auria, cince a
Con n adcos id5 0 pd 40de , neco
205 pd C Papiraros S quos pus esiv, e6douor
ad ∞ D pencodhas erext o ) prodO mnv
6dquor ul cid (O Z nou EsIV, necoror ) ei
dos  cncodhas enext oi id 2ovot, Woe05 ra eidn 2
peNcodias, arrireraY COS EXBOIN. Kai N
tis, seu) gradus pars triselima. Lunam aurem
(moru suo aequabili e medio) qui diligenter
examinarerine, deticere deprehendant gradus
credecim et minuta prima quatuordecim: Ad.
eoque, summa cum ratione, illum (Saturnum)
omnium esse celerrimum, hanc autem (Fu-
nam) omnium cardistimam. Oni isitur HaS,
de planccarum mocu, recerum hypocheles iono-
ranc; pariter nec ordinem specierum melodix,
Peu (ne communiter d melopaeis rocantur) 50-
norum, accurate seire Pocerunt; sed omnium
primam melodix speciem (pro imperitia seu
Dorius inseicia Cua,) septimam esse existimant;
e secundam, sextam; cerriam, quintam; quar-
tam aurem quartam; de vice versa. Oui igi-
cur audirerit, Ouod FEypodorius tOnUS, d NC-
te hyperbolaon de Mlese continetur; e MIXO-
Jydius ab Eypate hypaton, de Paramese; nie
Clacim Si non noverie quod Hypodorins tonuS
Sc harmonici concentus primus de gravissimuS,
seprimanque melodiaxe speciem extribear; et
Mixolydius vicissim sic leprima species harmo-
niei concents, sed melodiae speciem primam
extribeat; (Tunc enim Poni, ad Melodix (pe.
cies, concrario sicu ordinari:) quodque HIy
odorius conus, nunc quidem a Nece Hyper-
BOlXOn d
ab IIypacc hypacon de Paramele: dt Mixoly.
dius, nunc ab Hypacc hypacon e Paramele
concineri dicitur, nunc a Necc hyperbolaon 
Mele; (nempe propter contrarias vecerum
opiniones;) existimabit omnino Hypodorium
conum, acuristimam melodixe speciem extribere;
et Mixolydium, gravistimam; d diverla com-
pellatione lonorum recensicorum deceptus, ut
mencem habens de rebus his iBnaTaI.
duduv, ee Bapiraror vino r Dsae Pops coloomqoe cas rior deinnu dicor Oiglor et anamdeis ios aivem.
Sipeova coet ra rolaivra nruer  ci nndcos rud XIarorar.
adiv oodcoe O + , ruo adi vno re D viruS
TCV VEPbON aICOY 3 Y COnS WEIEKD NEZC), rui
o LooreD ans rcr dtr d
cons o dé re phonucO, vui pl Cod  2
LarS FEV VaTCV, H, D  DauConS WerXEa
Negc) ruo A unor D vTuS ZcoV vrep 6ONatcoV C
D uconS NaZ arrmedvas dynovon doZa TCV
XaNauor oior) ravrcS Y p 12d e iOr rVOI,
∞ oE vraro cidoS D pENCodhaSEHEXV 1OE YE IZO
h AB. nomait. M. Ngnas. 1 PFO puionS, FCPOHO a c ato
CHMMa