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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 139, page id 867984570:0167
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=167
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 130 lines, status machine
# Lines: 130 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.
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# After the first blank line: the recognised lines in reading order, one per line.

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rcor SCavicor S, p  Sb a MOICONNC
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civas xat seaai nat TaS Icor appovinc
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n ido TaTIS nat TaOrS rcV PSo En cudcta
ar coarce donoin weener n de duvouts, n
∞ Xcos Exe WeOS àASS, OEp eEW ider auxcor
nECGIVET rE Na ovyRNcie) WoCoS paV na 
avrtin eiodor, KaTO,   EYNNIS KoEc
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zuouerns deXn5 Déos depover, d CoV EDeEn
3On85, aMOTE ICOS pELANapISBVOMEVS. LaV
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r noyc, aute creeor rcor lonpce rcor onpeicor
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TunTor TCor tonuEC ErcoV VOIT t KaTO d pe
TS dE TETPUEVS, ~ pIEV erEPOV TEV HECQT COV Vd
ra Y Wegonapibarovor, ∞  dE erpoy nara 
scor cis ninner nalanauras, rn duvepcr, no
ouvartas P rbo a TC WoC9S aICaV-
perco, cov d0 d07 (85 ercoon chapereod pev)
∞ EONCIGOV D10orn cd ∞∞ F05 aMaci OTt TEZ
rilcucum: mutationes denique secundum l0
nosu mutacis afectibus qui pro HIIanX VIca
circumstanciis contingunt. Cum vero reliquum
Sic, ue ostendatur, Coelestium item corporum hy-
vocheles, secundum rationes harmonicas, con-
Fectas else: tractationis ejus Pars altera, exit,
omnium communis, Calcem plurimorum; altera,
Tingularium particulatim Cumprorum: prior au
tem, ea quae prior est et communis; unde ita-
que principium Faciemus. Primum igitur, hoc
iplum, quod moru solo dialtematico, seu pe
locorum intervalla, cum loni perticiantur, Eun
caleltium corporum laciones, (nulla inde con
sequente mutatione quae alceret subltantiam,
contirmat quadantenus quod est proposicum.
Deinde; quod caelestium rerolutiones LnE Cir-
culares omnes, de ordinatxe; d limiliter item
se habeant harmonicorum Cystemarum rClLIEU-
tiones. Onomam, veue Conorum ordo e ten
Eio, secundum lineam rectam procedere ridea
TUT; Pocestas tamen, eorumque ad invicem ha-
bicudo, (quod iplorum proprium cst,) termi-
natur ee concluditur uno codemque circuitu,
ad modum motus circularis: cum neque HIC
ex nacura quidem, ullum est principium; sed
ex insticuro Tolummodo; alias alibi, per loca
continue lequencia, varie sumptum. Siquis igi
cur, qui est per media Signa, circulum (z0dia
cum,) in alcero punctorum aeguinoctialium (ra
tione secuerit, a qua explicatione sacla
cundem acconocare (d
Syltemaci perfecto Difdia palon: punctorum
aequinoetialium, id quidem quod non est sectum,
ad Melen congruet; ejus aurem quod sectum
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∞ CVnogoV Y ciequErS L 20 D4 bONnS, Xat 24 2
XaTa Y HVINOV 5CDD, 2015 8751 8 39 X aSCOV dA
ded tuot ae nd diconaor  nos. et udi
EIEXE , 8 OAB KVKAS NEOS Y ALIKVXNICV nat
)GErebV, CHEP ESW apXN D B QAaToS 10021
estu extremum alterum ad Prollambanomenon,
alterum ad Neten hyperbolon: Sin, iptum
Dif dia pason, in circulum inflexerit (vorclta-
te,) _Necen hyperboraon CuM LTOITaIABAHO.
meno connectens, duos lonos in unum redese-
EIE; erit haec unio ex diaMCITO UE DatCE OPDO.
Cia ipsi Mese; ericque ad eam in Unisonantia
Dia paton. Contirmatur autem haec compara-
cionis dicta cum racione contormitas, quod Ia-
metrali in circulo potitioni similia contingant,
eis qux jam oltensa lunc in Dia pason: Quip
De cum, inibi continetur, torius circuli ad le-
micirculum racio dupla; cum plurimum in hac,
Deae aliis in circuls rectis, aequalitaris: tum que
niam, in circulo, linea Diameter Cola Per cen-
trum necellario transir; unde principium ha-
becur aequalitaris in schemare: cum quoniam
quae aliter utcunque ducantur reetae, utut pel
pheriam toram ul aseures Gllotcunque partes
W7TOs FCoV L EGONaICOV. FaV  XE ∞ di5 3)a n
rotaun cuva n dnnoron i peEo éscs de neoS
ra Dgconnora ovpiBEbnNE n caprreuu
NVXNS XFS evreS porco aro Mer is
vidunt; ab clalclel, Ell adeam iplam, CUI
De  Osebat. Onde elt, quod
705 vas on ai per ancos chazosdvai  nar rles
e Deeccar oxleo eis iochaspeson Y oovouis
diremerine, non tamen ee Tocam aream. sic di
sut
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nslu  repooncijcor, quippe hanc innui
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