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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 325, page id 867984570:0353
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=353
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 114 lines, status machine
# Lines: 114 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.
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# After the first blank line: the recognised lines in reading order, one per line.

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dcev cior de oi axpot ngi EN aXISoL o N5 na
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∞ UEZIGIV NONOV pErCOV est dE 0S. n 
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or noijoces Si rov E V, zverat o V B. SH
ExC N5 n) EY. Oenc de avror exe i ptn
Derrcor.
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eDuos ad elab rereaxd  008 o de 
NaO ny SCIO ZSES, HONOS MN
TEICV TTCa Xed cor, v 20β, T85 dE NOIX8GEi
Pnods 3rcOS Emoxe acd O onore  TcV a
Xocor 20 ooraY3S auris = nO NaoON E5t, 78
pEoS S TerSaXop S oNaoiOVa noinoov GioV,
Exet 28 N5 EEIV, o Dd, TEOSAPEOKAIdENa TNa
oicor Y nat 28 ZY, 0 Dd onraTON aor (C 78
EE o Dd reconaouor moinoer exasor pdi
TaapcoV apibucoV X5, pB, ME, pOn TEOSADES.
KaidEnanIS ExaGOV de TEV
Y, 0β, X, X
OKranIS ExaSO dE F PZn, PX d, 515, 5H
reis Ka Zivorras axiDuo OVLLDCOVOL TS Na
dea Pai5. T8rcor oui dedcrducor. Badcizdn
oar, rives oi ouvrederres rov dcepo duo
Pto En à S5 pdi orres aurs, ev oouereois d
LEpOXaIS C95 aMyNOS SecopSvOL. Kat 
 eis duo Expoeiss uto Matecon n ouod
on edeicapd, i T a5 2C15 FZ con ou
HdEra n EaXiOM Tu oo, a15 245 na
ra at 9 3a DoCaS Ls 1 Ct 101S MENEOI
Pracedlens, erit 63, (iplius 2r criplus; quia sC
Clt 2, iplius 24;) numerusque cecrachordi ul
timHs (e lequens) 84; qui ee ipsius 28 est
cripeus. Feit isitur hoc terrachordum, 63, 72
80, 64. Placer aurem ipl (PTolemao,) ut aliue
item sit tetrachordum; ex praecedente diacte.
mate conico, ratione selqui octara; medioque,
in selqui septima; d tinali, in selqui rigelima
septima. Invenietur autem in numeris (ea
dem methodo cum ante expositis,) 168, 189
216, 224. Expolicis isitur cecrachordis (in
numeris lic inveneis;) cum habeamus eorundem
trium cerrachordorum numeros excremos: ((unE
aurem eorundem extremi minimis 36, e 63
e 168:) Ouaro iterum numerum qui habcat
Partem criselimam sextam, _ SexagelimAM Ter-
tiam, ex centelimam sexagelimam. oetaram. Su
mo icerum numeri 36 ∞ 63 maximam commu-
nem menturam, qui cst 9. Numeroque 36 per
diriso, invenio 4; atque hoc ducto in 63, H
nuCTUS 252; qui parces haber erigelimam. (CX
tam, e sexagelimam certiam. Volo autem nume.
rum, qui habeat etiam parcem centelimam lexa
Selimam. octaram. Sumo igitur ip(OrUM 252 8
268 maximam communem menturam, qui ell
84: quo Tumpro, (divisoque per eum, 168, in
venio 2: qui ductus in 252 facit 504) nume-
rus praecedens erium cecrachordori Ct 504.
ulcimusque (qui est illius sesqui cerciess Com
nis icerum crium cecrachordorum 672. Religuos
autem lic inrenies. Cum perspexeris, quocuplus
ell, uterris excremorum, numeri qui est ejul
dem cum eo ordinis, cocuplum tac numeri in eo
cetrachordo intermedii. Orpore, cum numeri
36, numerus 504, cs quatuordecuplus; nume
rique 63, idem 504 elt octuplus; numerique
168, idem 50q est criplus; l’ac cujulque qua
TUOT nUMeTOTUM 36, 40, 45, 48, quatuorde
cuplum: Et cujusque numerorum 63, 72, 80,
84, Octuplum: FE Cujusque nUMeTOTUM 168,
189, 216, 224, criplum. Pientque numeri ipsis
in descripcionibus congrui. TIis igitur octen-
lis; oltenduntur, Ouaenam sine rationes Cuper
Parriculares, sesqui tertiam componentes, ipla
MIMOreS, Lea III LXCcs prepenalibus in
cer se consticux. Ostendimus enim iplius cun
in duas, cum in eres, super particulares, divi
250a5 EaMartoul. Er u oui rois exarioor sionem e compolitionem: L.X quibus com
2od CmITCITS ExIuOCIOIS, Erax Judat NoCS at ponitur minima consonancia; in ditterentias
EppENCaI OuX Ev O pd 70I, àNX’ er 7015 ouv
deior Y Phirsrror Ourot oineicos a redo oav 
ouvre DetoasS eis r EnaXiS ouuDcoriar EE
retcs Exetrep n EnaXisn oouPcoa Ev Exiret
secundum genus; iplasque ChronS qua in
meloaIIS COHCHMSHHE dIVETHHCaVIMUS. AdCO
quxe sesqui terriam componune. TIa proprie cribuuncur eis concinnitacibus quae minimane
contonantiam componune: Ouoniam minima contonancia in ratione selqui tertia statuitur.
3bl10.
C eri d, esiv o r. O de irpisud  Fs rra- SE(qui nonuS) cl 80. Ft tetrachordi numerus
e d. 615, 5xd. Exncuduc
1 eEn Enrco n apto por 2 05 et et 15
que in super parcicularibus, selqui certia mi-
noribus, disponiurs cattone debita, Concin-
nicaces: non quidem in omnibus, sed in illis
Q Pro on repono os. Sin malis, retine on nam sic loguuntur Acici. r PrO, ps eta FCDONO EY. E
in reponO or B. = Pro , repono5. u PrOZOd, repONO XoB.
pleo, quod excidisse videtur
3 EY, o pd Oxre NcOICV.
nL n  ndir naotat.
Pre
ut
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