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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 25, page id 867984570:0053
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=53
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 117 lines, status machine
# Lines: 117 recognised, mean confidence 0.76
# 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.

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io ipes sobt co  HS Endd id es 10s5 u Henstionio dilcrepancia. Ouippe cum, in duas
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datur, auc Pesquioctara caHO, auL IHDETPAEEII
cularium quaevis alia; raTIOnES verO duae pId.
duo Rogos  enydoev, o  P renncidenaros _ xime aquales, selquioetarai lactetles, linc lel
o DE:AaNa,DENATOS Em av nara Y perahu ncos quidecnmale d e setgdccima lepeima: omnino
TETCV Nogor, i jperoror 287(5I, Y pciC c pi crir Hemitonium in ratione quali harum incet-
FS SEHCB, CMaor FS Senna media; niIMIEUM, quae major sit quam lelquiae.
SEnaTS Fst  X, FCV P pY, ra TE, pCor 2 pd
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s re ouvrderrcor avrelv, 28  6 u y
ex Norco ZEd FOUITOrIOV EYS TCd F ∞Vn
cimaseptima, et minor quan sesquidcenale. ca.
FltqNe nUMETI 243, RLIBErUS F5, major quam
Dars decimaleptima, minor rero quam decima-
Texta. Adeoque (addiris invicem 243 ec 15)
exie Flemiconium in ratione 258 ad 24 5 Proxi
reoS i suy vEdcxi i rS NeiuaS o me. Sed ee demonstracum elt, Limmatis rationem
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paroS e_ ro iurxori doto ZC FCV SVn Noyes mace Hemitonium, ratione 258 ad 256 (nempe
5 10015 b   eGd selb 128) PrONIMB.
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Difterencia.
2 et
iputrorioV.
Flemitonium.
Neipe
aquales TALIOLCS (numeris effabiles) non alrI
Fimma.
sealem dixerine, nos auribus altimare polle.
san rete atiexi postic ue sensus audiendos
una rice, tancundeni erret; mulco magis idem
Tlo) Beaxciar irco ∞Marlu, =Suvaror Flanc autem eam exiguam dilerepantiam, ne ipsi
cira Xera) 5 axga5, 8d au avroi DyoaEV. L
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Y Conciercor dnecor ousaycoyle onotor nemoder
avrois n eoncdin dcis 2e15 idu 8 X)4 n-
oca Nap BaroS dis ) drors, vaera 2)4-
conciserie in plurium sumprionum congerie:
Diatellaron; e Dicono, bis; idque it diverlis
D0ess déods onere, pend an nonoc drovor volicionibus: Cum le la leuel quidem
axe 1 615, WeoX deov W avrois Mamor qd av
rosyodar revor n dirover Exerd nep d o avros ud
o roV O EGIEANS  e  ev eroy doco noyco
x BdE aoco Deror Crovor, ExIENES cos ov ev n-
Vco  FC F  a We5 2 G d. F B de H
Oco EN b pt OEB.
extribere Ditonum accuraTE, IpS s Pu
lic. Promprius enim Tonum esoE, quam
Diconum. Ouippe Tonus quidem, Concitnus
est; urpore in rarione sesquioetara: sed ditonum
incompoticum, inconcinnum; urpore in rario.
ne 8C ad 64. Sune autem lensibus TumDEL
prompriora, quae sune masis Symmetra; boc est,
guorum cotists mensula hitaso st.
CAP.
qualis in expolica corum demonstratione con-
spieitur: l’ex quidem Lutplo (aarum fadicio)
mG1O. ib -- Vr. n G1O. d. o ABS. dec duo C. B noisoe. V. doo raivon. P. S innad --. q V. deell RV.
S. cosE or )ran, PTO ocu)errar. (GISVO. deest r. + S. oun. v (7IO. dees edriXIn--
nempe propter similicudinem pec po in veteri leriptione, alcerum pro alcero aliquories
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decst re. ifS ism 9 GI. a, BiS. B AB. deelt nd.  Zyuuarsor (commeniurabile) hic ir celligitur, R vel com-
paratorum minus (ue in mulciplis,) vel falcem disserentia (uc in superparcicularibu
dem, oopersirpor ubi parS ea (quxe est CoUNis Men SurA) major est; uE, sesqu
utriu
ExUII
que meritur: _ G1I-
nasis quam selguIet
rium, ec hoc magis quam selguiquarcum (quia pars simidia major est quam cestias  ae ellal esculla, e
Eimilicer in caeteris.
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