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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 495, page id 867984570:0523
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=523
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 97 lines, status machine
# Lines: 97 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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Est B EsterVaTS, S EN EXOVTOS X CC9t
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aeq airs ouvap Derceq dasqpara, S neOS TB
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de503 En duo chasmuarcor ous, 
eds casquaroS e TC X 
ocoireDe ptC oV 2(45 qua dEIEZC Y8 ReITO
spictum.
que numerum septemdecim inrenerint non la
ciencem cum utrisque extremis (secundum co.
rum hypochelin) rationem Cuper. particularem,
25. 13. pro neglecto habebane; Tolumque nume
rum sexdecim altumebane: Cum hunc invenc
rinc facientem cum numero octodecim rationem
selqui octaram, 18. 26: : 9. 8: : 18. T. et Cum
quindecim selqui decimam quintam, 16. 15::
E.: F. Conspectum elt aurem, in hoc harmo
niei concentus genere, ystema dictum Non-
spictum. Nam quae iplius sono gravissimo adja-
cent duo diastemata, majora Cunc quam quod acu-
cistimo adjacet unum; ic ctacim tiec maniteltun
Ouippe cum rationes dux, sesqui decima. quinta
e selqui octara, qua continent graristinto du
jus generis Pono adjacencia duo dialtemata, X gla-
les line racioni selqui quinta, 15X 8
licque racio sesqui quinta, major quam sesqui
nona, qua reliquum continet quod acuristimo
adjacer diastema; duo ipitur quae gravistimo ad-
jacene diactemata simul Cumpea, majora sune reli-
quo dialtemare quod acuristimo adjacet: L.It au
tem Cystema non spictum, quod ex duobus constat
dialtemaris, quae simuladdita majus concinent dia
cema, quam reliquum (in Dia. celtaron) Cyltema.
Deinde, dividentes rationem se (qui. Seprimam
in rariones duas, majorem et minorem, ut simi
liter major sic minoris dupla proxime; nempe
Telqui uindecimam ec Pesqui viselimam primam;
(haec utique cum selqui sexta conjuneta com
Dlec rationem selqui- cerriam;) eria generis ChrO.
matiei. syntoni concinna diastemata conticiebant
3X (3 =) 22 X32: =3. Hoc enim harmonici con-
CentuS genuS Canitur (ut ostensum est) in grave
rationibus se(qui. sexca, le (qui undecima, d sesqui
vivelima prima; in acurum contra, selqui- rigeli.
ma-prima, selqui undecima, e selqui lexta. Ddi
videbane aurem hanc rationem, hoc modo: Sum
peis similiter numeris primis eam Factesos.
(nempe AS seprem et oclo,) cilque eripII
Cacioque abuetan numeros vsruuum de vi
Fndra dENoVTS V Ex ECdouor Négor eis duo No
285 c ora re noi Enecora, 1o5 civas ouoicos
pei ora S EnaTtoros dhconaoiora eyzisa 1ot 20
ENIEVdEHATON (C ZOV ENT LCMOGINECOTV 870S Nat ja
TE EHHEHECO OUVa IOLVOS TOV CMITELTOV ovuLW N 1eoI
Regor ra  rEcouannS ouviors S resa eu
ACENn ctaSqua (Q aEFNCoUV KaI aE ∞ TOISTOV
gevds s ipuoouers, ids dedem). En idi x Bapi
ecodEt) NaTA ENIENZON H EIHVdENATOV I ENI
CnGONECOTOV NyoV Ext de X  cvarCOS, NaTa
EILCIHOGOTECOTOV NaI ETIEVDEHATOV NaI EIEKTOI.
RIEINOr dE Nat ZV ZOISTOV NeyOY &TC NaGOVTES
3a quotas 285 5Cr85 de1 uss 285 notSVTaS
aurov Nerou on zov Ex a C ZoV OMTW NOt TE1
ToNaOrdBaVTES aVTXS, EqoV rov cinooier naet roV et-
HOOHEOSaCG MEOSS TE aVTCV CEV IoCS VT EPOX 15,
Tor cinoordvo nas For cixoorreiai Kat EM Et FOV Eino-
OrreIa EipOV py noErTa NEOS auPOrE85 285axp85. cu utrilque extremis (secundum eorum hy-
nard rus cavrior sco  ipopior NOYOV, EE
BInEI. quaTOT; 7. 8:: 21: 24. duo(que illis in-
termedios, cum aatioo teteM, vIsInLI
duo et viginti. tria. 2F, 22. 23. 24. Cumque
pochelin) rationem luper parcieularem, 33. 37
invenerine numerum risinci eria non facientem
cSuppleo eo ioc ineoxais, prOUE in teliguiIo habetuI
Nune
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