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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 300, page id 867984570:0328
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=328
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 105 lines, status machine
# Lines: 105 recognised, mean confidence 0.79
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

ee intervalla, eadem servent: sed sem-
et per ea ipsa, in aculatidns cnstonibus,
cc constituantur breviora. Conulls nem in
at earum extrema aliera, non semper eadem
ee rypeode ras aurds am au rus avras et
1F iE vrce 1S raveor orvisa d BCa. XVFE 
TaegSamouicer YSV a Mgnais Xto
oruDCorIOr, Nara ra erea FcV neaut
Con ion avror esc D LEpOXHS n dia
caors AN ear pdi cov e vréess S
aurcor Dauo copd àAyNOIS, P psCcr
car CV BaPVFEPSS, P En e A cor. LoDei
ons rap D a B dasaOECOS, 7S da XaSCV
er aerid, 28 a vos dus (c15 Dyor) nara e
oEvror 45  ne DHocor d10 r3 dod
nerre puras p dero 280d x Bapo, 1o5
∞ ay ExEpas dE deo 28 B Ent ∞ ôEV, 105
4Bdcapa enacor n idu ay ds
0r5, FBd. eil cor3 i B y vncpoxI, F a d.
EvNCYCOS. EXEI JaC ENOsTECQ FCV  y dB da
socor da c est noy n uii 0 y D dβ nar
ovréecor necove reccor il cev er n dB dia
POR PTIXR II
ee tur chi  pus Dia pason distantia
et pina Dia pente intervalla; alterum ab 
a in grave, ut AC; alterum à B in acib
a jum ut D. Minor ulique erit distan
cc BC, quam AD.
Recte. Cum enim distantiarum AC DB UETa-
que sit Dia pence: ipsaque AC quam DB in
acurioribus cadar centionibus; major est DB
e ter se eisdem consonantiis, secundun
 recinebitur excessus distantia: sed si ea
et rundem jonos acutiores invicem coapte-
et mus, major: si stadares, minor. Pona
e atque intellieatur, inquie Aejusdem ex
e gremum in acutum: Sumantur autem
a tia AC, quam BD; sed major excessu.
Trave
dictantia, quam aIITaNCIA AC. Communis au
FCraTUE DC. Erit isitur reliqua BCi excet
TuS major, quam AD. (Vrroque interim ex-
istente Dia tessaron.) Omnino igitur uti opOr
rebit (non tam distantiis, quam) Racione du-
Pla, e selqui altera: acque cum non differet
excellus. Nam li, d ratione dupla, 12 2d6,
lumamus in acucum, Dia- pente, nempe 8; et
anteramus rationem, x2 ad 8, selqui alteram:
relinquitur ratio Pesqui tertia, 8 ad 6. 13) 2
(8 = 3. Tcemque, si ab altero termino 6, Tu-
mamus, in grare, Diavence:; (polico medio
termino 0,) ee limiliter auteramus rationem
9ad6, Telqui alteram; relinquitur ratio sesqui-
cerria. 8) 2 (2 = 3. Non isitur ditfert racio.
num excessus, ucroris modo, nempe ratio sel-
qui tertia. Sed cerminorum excessus dittert;
lunt utique excestus 3 e 2.
a Fit quidem omnino absurdissimum videatur;
ee aliquam statuere differentiarum rationem,
ee qua non ostendatur per earum maenitu-
a dinum rationem, quae bas exhibent dif-
aferentias; ipsarum vero magnituainum
e rationem nullam; a quibus tamen illa
is disterentiarum, statim haberi potest.
Exceltus his sunc, qui faciunt Distonantiam
Lidesopat
Aunu aj LCPOXat o X) De Pcovias n ovper
aut Contonantiam: Sed Conorum habitudines, in Darias a ai gEods Ter PDoylcor, et urzd
20YXa
Noinn apa n B Y Vrepoxn, D a d, pei l cov AENC
SV Fco dconooo Norco da retat, 2, tono
noi 3deiod n ineeoxi. Ear id diro 8 +β We5
5 Norco dhconaoro, nabcopd Dit x dEv, 2) a nev-
767 n nai a PExcopdo Y ZCOV B ceOS onTC No-
ZoV nptONIOV XaTCNCiMEN NoyOS SeTOS, CX
n c0C9S rat 5 Kai NWV, car S ZU Erec
oeco 21 = eZ, Na Ecopdo Eri Y Bapo 29 C a
Garres pcorr opor Y  d apibuor, ngy à DENcod
opeoicos Y rcr d neOS ra 5 Nerev iuteXtO Nei-
rdEeoXn F NoycoV, W , CA. C. 103 60
uorS,  a Y DgaoS noin apyendcondY
neru NoyO Enire dCG A
AUECoV) Fr opcor dujueru reta 2 yd n duo, ai
axai oncos) aronuraror d’escter av, et ras
edi r EPOXaS Neqov voS aErouV, n
darropdis di aurdv od  tut notst
TCV avTaS MDc Ta de p7sM 
Excw.
deros à cor Metdat so3 
eco
DErDETa POLIEX, ) Sic restituo (senlu Postulante) ut habeneur in aliis plerisque L
rar restituo pro puicar, quod perperam irrepsic. r Pro n d ad iceoxi  yd, reDOnO (ex PrOlemO) ueilct
De n BY rceogi F ad. (NF. denorn sed D. reCtiuS Stoioet. F PrOD _ n ra 5, rePOHO Z n ces ta 5. u Suopieo
PrO C rd repono id c
oDro aviour (ex PEOlem eO) restituo lour. sin malisu retine ániour. P Voces peilan ihcistar, (quae erane hic
ni. X PrO ourid Bipcto rePOHO ih daupto. y PrO F 1B 6r8, repono simpliciter Y B, deleto quod redumdavac.
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