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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 318, page id 867984570:0346
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=346
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 112 lines, status machine
# Lines: 112 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.

LOR PEIXRI
tres exceltus. F.L HC semper, Facto augmento, issCVneCoXS reiS Eivai iy e et  DgVEoES 
hoc c, additione facta Unitatis utrilque Ter-
minis, Ratio minor Ac, Unitaris excessu am
bobus terminis facto. Oui est ab aequalitate
recessus, ratione diminuta. In Dia- paTOn, _ P2
tione dupla; aequalis At excessus ci quod ex-
ceditur: In Dia pence, e ratione selqui altera;
aequalis fit dimidio ejus quod exceditur: In
Dia reltaron, e racione selqui terria; excestus
CA pars terria ejus quod exceditur. Rurlus:
ab aqualicare recessus, aucta ratione, Hc ad
dita unitare majori terminorum: est nempe ra
tio cripla, (Contonanciae Dia palon ec dia. pen-
vopEVS, EBTESL W CSEDeionS ENATEOCS ZCOV opcOV
porados, En a EcoV O NegoS ESIV, CV VnEpOX poVa
dos ep DOreco arCV opcor iS diro D ioorS.
pcods 8 N78 KarO id X Z)a NaOcor 2, +
dconavior Rezor, ion give)n rcepoxn Tu ViEVE
Xocduco Nara :) x 2a Nerr CC Y iuionior Nogov
iuiod airs VnepeZoZ Naray X 3)4 ZOSapcoV
(C 7 Sre Noger, TeiroV pepos s irepexodS.
MaNW) au doro dioonros, auos NoyE, uo-
vados deg DedinS rC pet E CrL X oecor d rE1CN
tC;) ubi exceltus terminorum, est, bis illud o O RegoS ENaICaVETO, D Xa NaO coV X 2)a nEvrE
quod exceditur, (quod concra respondet parci orppcorias nab or n VneoX  aupcor, dis noict
dimidia: ) RE racio quadeupla, Cunilonana
Dis. dia palon) ubi excellus terminorum, criplum
Facit ejus quod exceditur, (quod contra relpon-
dec parri cercix.) Astumit autem, a sentus evi
dencia, (omnium item generum commune;
Duod, sequentia erium Dialtematum, Tune minori
ueroris reliquorum. Propria vero (assumit) co
rum senerum quae Spictum habene; (hoc cst
Fnarmoniorum, et Chromaricorum mollium, et
incentorum;) Ouod, quae in gravissimo lunc
duo timul sumpea, minora Tunt co quod est in
acutissimo. Rorum vero quae Spictum non ha-
BenC; Nullam este magnicudinem sineularem
qua major lic duabus reliquis Simut lumpeis
Vocancur aurem, Non spilla, Diaconica; co
quod procul inter se distant eorum Diaste
mata.
FIIS IgIIE PrESuppOSitis; diridie, primo, ra
tionem lelqur terriam, (quae elt Consonancia
Dia rellaron,) quories licer, in rariones duas
super parriculares. Onod ter duncaxat tieri po-
celt. Acque hoc; Cumpris qua illam concinue
seguuntur eribus super parcicularibus; selqui
quarta, lesqui quinta, e selqui sexta. Selqui-
certiam enim complet, adjuneta selqui quarta,
selqui decima quinca; selqui quinta vero, sel
qui nona; e lelqui lexia, selqui leprima. PolL
has autem, non aliis duabus luper parcicularibus
reperiat quis compolitam rationem selquiter
Tiam. Fiac autem compolicio duarum sumprarum
rationum super. Parcicularium; quales Punc, post
selqui certiam, quae illam concinue sequuneur,
Sesqui quarra, lesqui quinca, e selqui lexta.
Cumque racio selqui terria, dividitur in selqui-
quartam ee selqui decimam quintam (3=
in selqui quintam _ se(qui- nOnaM, (3 = 5X 3
acque in sesqui sextam e sesqui sepcimam, (
EX3.) SelquI quarra Tundus, cst 5 ad 4.
nam numerus s concinet nuleruim 4, ejul
que Parrem quarram, L.) Selsut. Guincae lun-
dito, est 6 ad 5; (nam 6 Comenet, ejusque
Parrem quintam, F.) Selgur sexta lundus, elt
72d6; (continet urique minorem ejusque cam
cov inepexodss, ev arrdéod 3 iuioes pepss
3 o rereaoNao 6), 8 dis D)a naocor ouopcors
nab orn VnECOX E axpcor, B reCS noiet V VEpE
X0ud35, evarnd eod aNWS TeirSuceSS. Haea
32 ouonorsiins ajodnoecos, rovor pdi oucicos
mevrcor 7apa Ducor, RapbarCE ∞, 2 qu em
edva F Zenor DaSquaTCOV, Exartora ouvisa
NOITCOV ExAL FEPOIS. 12)∞ Tcor pdu X noxvOV Ex V
TCOV et ESIV EvappVICON, I, ZSCOpCATINEOV pCC NaNCOV
re C ocrrorcor 8, 2a nCos red Baeurerco, duo ouv
auPorcea Ena era Zvea 8 nEOS ZW dhvrTCI.
Tcr) cenorrcer X under rcor pegodcor paor
xadisa FEV ROIncor duo oaPOp Fipn)
i arorra, 2ad XI∞ TOVIXO, 2)a ~ noNV aN aMy
Ncor avFcor Civas 2a 3) aSquara.
FSTCV ZV oNCpercV Varee recora 
Bireor négr,  24 2apcor ooucorias. dou
HIS Eres, es Do185 NoY85 do TeIS ve
porcos HaN na) ~ 701STOV, WWCGS Na pIEaVOpIErCON
Tior  avr TeoEDCF75 S COV τ8 7
Berrerer8, C8 Sancuns, 3, 8 SexTS: Zuu
Tonyeoi qd Y exire pror Regor, rio pdi Serrereprco
dedetS, o  12. rco) numo, o em V. 2
deem 5, dem C. Kai p) 2ST8S, duo pesvors aX
NOIS EpoetOIS, Con ar cypn nS ourr)ueror 
Exireo Nogv PWedc dE i ouvdcors duo ny
DDevrcor emuoe icor clov, W) Y EnTCL TOV, CDCEH5
arS Em OL ouV O EAITETACTOS,  O EsI
7d9, 2 o EsIEKroS. Y Emdn ver, d CHITC 
Négos Dgreerr eis em dlC emté, CC em C
nad em b, nad em 5 nat EM L. PAVTENPTS
nobulio, o E 28 d. exa gd 0 E  d, n ∞ X
raproV airs, a. EmEs de mbulo, 0 5
28C. nExtgd 05 FE, CC ∞ népndor ars, a.
Em 5 de nobulo, 0 2 r85. o per id exa 
ENa~CVO N X aVTS pe O o de XG, i X ex
ZoV Ovroi 7ot vuv, è OIS Emoe OIS ouvTEDEVTES.
parcem; nempe 6, ejulque parcem Sextam.) Duixpe hae rationes, cum aliis super. parcicularibus com-
diron
en n 2d.
et con  at o no vo mo. Me. dects eimu. iyimi, e m. d. 1 m 1. in doroeo 11
et aoum emo tepono o  s. e  ema e m  surico 
Lt