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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 255, page id 867984570:0283
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=283
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 109 lines, status machine
# Lines: 109 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.

OMM E N.
5
c In quo iertur consistit Rumen Cravitasque
sonitus, e quod eorum species, duan-
ritas quaedam est: hactenus esto declara
ae rum. Ammadvertatur autem porro, quod
ceorum Lnerementa (ut e Maenitudi-
ecricos p ZV etvrus ouisaeLopB  Bapo
rHS 3 or noveryS s est x eid O abt
LTOCTCHOKCOC 2)9 28ZCV. HBOOKO TAVE
vonodco N ort ney ras  D vEo5 ad. cot
doraud ui, a net e85 ovpSEBnNet MEZetc
 noncpao uas coar ep n rs F ueredcor
S1d Ve5 Y EI 2C
puryros Nozor cegyor , amo ret une
eivas moaS raaS Kai id at Hd
deEyods avrcr, Dnor, duv puet pdis cndpos e
retae enre gopdvai KadinE nai Esst pss
at DquEod5, duvaut udi cndpor cxcerciae 
nEMECga F37 dE ovuSavet XI∞ 50 E7 CsM
POV Y OCVEZ COV ZOUCiV LGCOV dE dX, NOV HotOTHTES
cor ai cienpda, inc En ondeor _)a Doea dubar
6CoEc TS HNaECOVOS, et TC _t NHCo, n Em ZCd
KOTa 745 no12(85 ∞D_M aYcoV, dciharoS u
andecat 23 yd dceporep8, CC 8 aXB, 19)
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oir Evoineir ev aorn,  pon ha opcidar de
oVa FZ13∞OIVdE8 7081 9 l CoV
3der del ponnuuci, 2a5 5 15 excider 
(9 Le Wd 2ot ~ e n eaG Z TOECOV, I, O ACAGOEE
vos noXY deiN eN) Byoi dEC, eY TWI DEI tovcOV
Vrco3 AnPDerrcorgd F8 2)à rapcV ai pdi ouu
aDC qe et DE oIh 6015IOIS NogotS
XanWdBdcor ECIdOS NOTE paV ExcoVEoa. Dy-
oirs IBVnOS arria dyeW CroengevooI, Neycorsors
eromv, eins Dnsijuleo eiras Daoncor rlus pobumlio,
et aneipar aurlu ouv or civces qd nonéprer n
ocy5 E Ssea5 x anspor Oiucat edv ZV P aVEpOV
civat o01, oe 8dev  ceqeoeda ru aneipco 35
Eleo Msule ct de pon. vu Esce Darpa to.
e num) sunt quidem, poletulau instrto
 actu vero, terminata
YVM Summatim recitarerie quae de reu-
mine ee graritate dixerat; aliud sub.
 junsit indicium, quod Ouantitates RX
CInE. OuipDe quod COrUM, InGUIE, InCreMeNta,
tunt quidem, pocentia, intinita; actu autem,
determinata: Ouemadinodum et in Magnitu
dinitus; incrementa sunt, porencia, intinica;
sed actu, cerminata. Hloc aurem contingit,
Propter concinuorum in infinitum sectionem.
Sciendum autem elt, quod criamli (int Ouali.
taces Bae; Potelt tameM CaruM in InFNITuIM
differentia conserrari. Cum oltenderie Plato;
in Philebo, etiam carum quae in Oualicacibus
sunc differenciarum infinicatem. Nam calidio.
ris, e trisidioris, e niorioris, esse dicit diver
cacem, habencem in se intinicacem, de non licti;
Sed, li decerminetur, destrui. Contecto autem
hoc à Platone loco, minime opus cL, rem in
longum producere, probationes inde cranteri-
bendo. Dc centionum aurem intinitate, cciam
Aristoxenus pluribus dilleric. Aic aurem, (in
capite de Tonis,) lic; Sumptis enim Dia tella-
ron, omnes inibi centiones lune manitelto in-
tinita, eo quod omne dialtema poltic intinicis
modis diridi: Modi aurem qui inter le concin-
num habeane ordinem, Tunt soli (ex. In Co au-
rem, de primo tempore; objectionem, qua ad
nonnulla tieri postic, relolvens, haec lcribit;
Duod autem, Si chychmorum cujusque ductus
sine intinici, intiniu erune primi, manifestum
est ex ance dictis. Idemque concinget de du-
plicibus, eriplicibus, quadruplicibus, exterisque
temporum rhychmieorum: nam cujusque ex
his primis, erit duplex, d criplex, eaeceraque
dictorum nominum. Oporcet isirur hic talla-
ciam carere, ee curbationem inde Factam. Sta-
tim enim liguis mulices impericus, e hujus-
modi cheorematum qua nos jam tractaus:
Sed Cophisticis rationibus verlacus; contentio.
nis relanum os habens; aic alicubi IbyCuS:
contentione mencem contra obtirmet, dicens:
Ouod absurdum Lic, signis Scienciam elle Rhych.
micen proterens, ex intiniris eam constimerir;
quippe quod seientiis omnibus adversum lit
Intinicum. Maniteltum eibi elle existimo, quoc
non intinito urimur ad scienciam; s aurem
nondum sie jam tiec manilestiltimum. Non
Haoc 3ad5 CV avrc, dnNovos dnpot co e
rep nad A)Sqa XJa Perra d C 4 X105 Ot dE HG03
aAnASS EBNIEAN TEZW EXCVTES, EE  uovot. EV de
ZE NEC ZB AGCOZS ZeoVS, u rls coopdul àV XE35
Tircor narmqueiar dironvodvos, jeà Da ravra O
N’ance cion exas  Z pobucor à Vagai ondeot, en
Bot Eocras CC oi nGcorot Parceor en Zcoy EuroeDe
cinucor 2o avro de syusnoerat xai net Cov
conss nai retonuss nai ersaoiuss nai oV NoI
85 Fcer poBurncor Zeovcor nab ExaGoV qd ZcV rEC
Tcor T8TCOV, E chonuos ZE, nar 2eionp3, Xost 2
da cina Cy dnvat Fis con arleo, naes r di auxcor 71
NOIE FCoV SFCO Nezoudicor orouaZcor Let SV eVTaD
rrodiletacaxu LaXEcos 7d ot I3 Tct diAtetpeet
edi psonS, Nat FCOV FOISTCOV DecopMpdT CoV, a vuit
CnII
a ME. eroincior. D, exaexsip, 9od rerineo. BMF. peroiso Sed D. pevot. C E OCAS ICHAIMuo C. Dr et reroorI
evco1. D. Dien enomguiae torce lesendum dien envenqpuoro contentione mentem armaveris. d ML. Wesqiou. du
e NI
led D. colsqe apurda.