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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 491, page id 867984570:0519
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=519
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 93 lines, status machine
# Lines: 93 recognised, mean confidence 0.83
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EI A R M ONI C. A.
enordoer o5 e eE Xet X XpCZOV nai eVrarO selqui octaram; quae contineat primum acueuII
Srasqua TS MaNaKE ErrorS jevS5, i, r8 droviat8.
AEndns des rluo denada n de denas a DgbAn
deioae xpos rir corcada,  SeWaroV 95 ae
EAEXC D HpCOTOV X, oE VTaTOV diesqa Z8 T oUNTo-
18 2)aroVS gEVS5, 3G F8 paNaKS dia toVS. 110 F8-
ToV Er âeg Y Negor, i Flio zosaurno Duoruli ono-
n8diar  rat T Eieqpercer Bruoe icor noycor et
C ra peor chaes qua e F  pocienpercor duo Qucot
pei Cora Tev xpeorcor Es aM oucos sd apos
Euraror rinor air cgeir duvaras.
munque dialtema generis Mollis entoni, a
Diconici. Decies rero, denarium; denariusque
ad novenarium comparacus, rationem le lquI. no-
nam; quae contineat primum acuristimumque
diastema generis cum Syntoni diatoni, cum Mol.
lis. diatomi. Propter hanc isitur rationem, ca-
lemque Phylicam consecurionem ordinemque
dictarum rationum Cuper parcicularium; eciamlt
media diastemata dictorum duorum generum nta-
jora line quam prima, non tamen polUnE C0.
rum locum acuciliu ocapate.
orra, coiS ouvantouva, lestire o resgo
deroseNEt, Exciva pova Weo5 Tui 2od iposere
apeid ) OcOTaE W eta dn DVO ∞ EMLPEAES EXOV.
2 n nadoNS XPOS MENSS cononlu Vnupxova
Sarideta. Od ob ud rad uctcor,  t get
Quor ovra, oucts aMn NoIS ouvantopva F cipy
advor NegoV S opCoNpoi raVTA 7OL NW, ios OV
od ∞ EHUENES EXOVTA, I NaDONS XPOS pCNSS ejo-
uor avexrdda WVY Z aVOVTC, aPECSPaV). AM end-
dyEe  PCOI EXENCIa TeNoV PoycOV S
nepouer rveaz o de rpeis DDoygoi duo ca-
Squata WdeLEXBO ECHOUV CIOFCOS Ot TaNaio
aPuOVMOI MIEZ ar BetaS EvoCiN, 70o Z C n1O1 Y
SR CTIO OCTAVA
De Systematis Spissis  Nonspissis.
PNricas isitur (ue dictum est) ad Ouater-
L narium ulque componendo procedens
non Polum rationes omnes proereavit quae con-
tinene Harmonica Cyltemata Anciptona, de
Paraphona, item de Symphona; sed d tres
Oniverli distancias (seu dimensione s) octendit.
In binario quidem, lolam Consitudinis dimen-
sionem: in ternario, Consicudinis es Lacien-
dinis: in quaternario, Congicudinis, Lacicudi-
nis, et Profunditatis. Cumque in Fernario
(ex rei natura) Universi dimentiones primi-
cus sune actu conspectae; de, in ratione lesqui-
terria, symphonia cancus extibita: Propterea
necellario, quorquor lune diastemata ettabilia
(numero tria) inter se connexa, rationem sel-
qui terriam complentia; ea Cola ad harmonici
concentus constructionem fuerunt actumpta;
quasi (ex rei natura) concinnum continencia
ec univerlim ad cancus plexum idonca: Oua
que ex illis (cria numero lumpra, et inter le
limilicer connexa,) dictam rationem non com-
plent; ea, tanquam nacura lua inconcinnum
continentia, et univertim ad cancus nexum
inidonea, fuerunt neglecta. Cumque iterun
Vox ultra tres Phchonsos intendi non sC apta:
iique tres Phitionsi duo concinent dialtemata
recte sunt conati receres Harmonici, accurate
exquirere, quoc de quales laper particulares ra-
ciones, binacim connexa, postine rationem lel
qui certiam conticere; ica ut, si earum alteri
tram in duas rationes super. particulares divi-
adtur NeS ets duo DuoeiSS 07SS, i ora damus, majorem e minorem, ut major Futurs
Cic minoris dupla proxime; tria quae in 93
as S en arlovos. ra eo rn rerpach rpia decops dua cernario conspiciunur dialtemata, hoc esti.
Masqala Donreneodar T8r o av ryvnavra
cianc: Id aurem cune contineit, quando
:
vel
TMHMA OFAOON.
TIECL TE MONVCON Z Na) CNVKICON OVSMaTCOV.
Movas rotruo, cos eien). exe rere ado5
NaT ouDDEOI XPOEN DSO, 3 pover CoV Y
aVDCINCON X Ed DGIDCNCOV ADILOVINCOV OVEMaTCOV.
d rt deoh hEoEV
aMa (C a5 reCIS S HarroS HIascodS avE lvE
a eo ido rn duach, povlev 8 pinnos Cd dEF1
reradt, r8 TE pn 85 (C Na 285 ev dE rn Xr C9d,
78 5E prX85 H ∞ N a T85 C β0385. KaI ETEt CV TH
TCactVod ai 3 HIarroS A)4503085, CVEpZE1_ 7 PC-
2105 dEcop) ev ) 260 Sare1 20) 257C0, 1 8 E-
285 DdPCoViO aVaNEPaV) A1∞ F370EE ut st
oou pdv Fcb Pcor X )QSMIAFCOV, TeIa F apiuo
Doe icor NoVcoV, duo amnnois ouvantovos, +
SETePTOV Negor droENEir duvar) i5 ON ExcsepOr
reHGENToV 5  Y pet Zora conaoa eyg