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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 125, page id 867984570:0153
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=153
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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 0.75
# 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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oavisa 2S EOS  ra a
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dmencer. Exci), T ourc doyrcer ioorrco
or deucor. ararun Cov oEvraerss r duo 21C
XaSEOV, RaTa FaS yuociSY aEX Bd Na
Cavo 85, dvon X35 no disaedas,  peNa Y Y
EO3 FCo B, Md rcuv exopdicor 3) rui BCg
XV a TCV NOISVEcor avodV pqarcor Y HaCg
Ponatord mn, ios Te CV ErCO aCS
Ddoy785 iqvoripss   civai n amnois ud
10020185. OEVr85) TCOV LONATCO TOSACCOV, 2C
AIa AEVTE X, FSZCOV 100FoVCOV aM yNOIS ypcoV.
eo quod est ad A, acM CLH, BIa. Pat BIL. SC
isicur elto dirisa Regula. Ouoniam AIIICII, 1B
aequitoni supponantur octo sonis necesse est ut
qui sune in binis Dia pason acuristimi, secun-
dum ipsorum AE BD lemisses Cumpri, Coniut
difficiles existant, (praelertim, ille qui ad B, D
cum adjaconcibus; proprer breritatem segment.
torum qua eos faciunt: Curabimus vicitim,
UE, qui supra Tunt Toni quatuor, exiliores
linc: aequiconi quidem invicem; led acutio-
res Dia pente quam qui intra TUINE; qui L
ipli sine inter le aequitoni. Ouippe, hoc pa
eto, quae ad unum ulque Dia resaron DCL
tingie (in uerisque recrachordis, d Grar
Ourco jd, =n pexes pors r8 3)a TaaCV, et mo in acutum,) sectio, constituer Bld Patou.
ap DATEPOIS 201S TETEaX oOIS ano TCV BapOT
rcer d x dEv, na Taroun nomod x 3a naocor
occondervor, Ex  8  dg x pnnos, e x
composicum gnidem ex InCTEMenLO, PFOPEEK
Consicudinem, ad Dia rellaront; et, Propter ten-
tonelu, ad Dia pence. Imtcellisantur enim, in
H9 scapcor i, ex Y a a r raow, d x tecrachordorum altero, SESmentOruM extrema
Da nivre, a dquEnoccos. Nocidco rd, Si TS Crips rcV reS XBp d cov, Y un prCoV rd pier nWa
e Tcaiecor
)e reavripcor.
aia. LCLTarOI
dia. letarOn.
neea nari ra a B y d. rar dE eo dios communia, in A B C D; lonorum autem
acucistimus quidem, AE; quarcus ab co, IF:
quintus aurem, CC; e octarus, DII. len-
tone vero; acutiores Dia pente, A L. _ BF,
(chordas intelliee sonoras) lonsicudine aequalium,
quam CC _ DHI. Acque Tumantur inde, AK e
CL
nnco Ddorycor, o Wdi eEvraro5, o ac o d
ETaPYOS C ao, dBC
Yn 1ydo des 0 dd. 6ot dE RO. Fa T
Tao, oi e E C BC. TCV yn (C dd, 20
nEvE. Kai nD 30 pp c 
CC méper (O poer, a
P AB. deest dEvrepor -- ravar. q C F. decst rd. r AB. decst io. sCF. duq. - F K O. im. v Nempe
hoc vule. Ex tora lonsitudine AB, (ita in C divisa ur sic AC dupla ipsius CB,) eximenda et, circa C, pars
ED, quanta saltem aequet crassiriem unius mobilium magadum, (quipre si duarum magadum puncta media
ducenda line, alterum ad D, alterum ad P, quo utriusque Dia- Palon sonus craristimos deliBMeTUT; non pottune
illae limul consistere nisi rancundem siC DF intersticiu, quantum sussiciat lalcem dimidiis utriusque capiendis,
relicta AC, dupla ipsius BD. Ilis demum (AF. BD) in coridem aequales partes dirilis, quor concinere cen
seatur lonus unius Dia- Pason pravistimus; puca 120: quarum coc, pro Cingulis lOniS, CaPIAHEUT; quoc lua cu-
jusque postulat proporrio; puca 80 pro lono qui Sic Dia- pence acurior gravissio: erit, qux ab A ad EOF Par-
ces iptius AF. perringic porrio, dupla illius quae à B ad cor perrinoir parces ipsus D: adeoque hujus sonus
D
ia pason acutior, quam illius, in cadem chorca (seu quae iph aequipollear) sumprus. In utroque aurem Dia-
pason, sonis acucissimus, longitudinem chordxe postulac dimidiam illius, quam habet gravissimus, (quippe, cum
aplam,) adeoque ad partes 60 perrinset; hoc est, ad iplarum
AE ec BD puncta media. Oui quidem semisses (sipso sar) Praesercim servilsis iphuIS BD, CTUBE, PrOPteK Bre-
viracem, sonitu difficiliores. Cui incommodo subvenire sacaxic, ceruando pro lonis acurioribus chordas, que
Possinc else loneiores, adeoque sonitu apeiores. e GTOV. raV.
di. B
decst F qn.
C. po, sed ad marginem 
1B. - 04. c610. r. CYP. F. d AB. rois is. C C. perperam reperiE C niur lr = ni PE. fV