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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 525, page id 867984570:0553
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=553
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 120 lines, status machine
# Lines: 120 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.

IL R F N A R IV 5.
rscotot ocuo ra porect, 7 nott nanpicor
3 oi pes 18F85 à M ot ot sut 1e 1cot bt d p
poradoS Mk Ta5 aVTaS ava Koztan dnNOV, 1050
quodo O e EtoB  ETPANOGOS und prova
dos. TCoV dE ZOSaCKNOVa X EZ ZSTCV, 2 oMZId
edo oi E Tot ocO TC provadt, TCOV AGCOTCOVKaNS-
mores octo cum unitate, funt dictorum Pet
Polt illos alii octo, Tertiorum; post certios
octo, Ouartorum; postque illos octo, dicto.
rum Ouintorum; acque horum ultimus, mille
myriades numerorum quintorum. Manitoltum
isitur est, arena mulcicudinem, magnicudinem
Es habentis aequalem Sphaera, cujus diamerrus sE
centum myriades cadiorum, minorem tore quam
mille myriades Ouincorum numerorum: seu
2000,0000 10000,0000 0000, 0000 10000,
0000]0000,0000.
Sphaera autem quae diametrum habeat my-
riadem myriadum Cadiorum, ejus quae diame-
trum habet centum myriadas ltadiorum, elt
mulcipla per centum myriadas. Si isitur tie-
ret ex arena tantae magnicudinis sphaera, uc dia-
mecrum habeat myriadem myriadum Peadiorum:
manitectum elt, minorem tore arenoe mulcie
dinem numero, qui tic, ex mulciplicacis mille
myriadibus quintorum nUMErOrUM per CentI
myriacas. Cumque Sic, quintorum numero-
rum mille mgriades, proxorcionalium ab uni-
tace quadragesimus: e centum myriades, le
optimus ab unitare in cadem analogia: ani
fectum est, Factum, Fore guadragelimum (ex-
cum ab unicare. ITorum aucem quadrasinta
sex; primores octo cum unitare, lunt, dicto-
rum Primorum; octo sequentes, Secundorum;
Dolt illos octo aliis Terciorum; qui post ter-
stios alii octo, Ouarcorum; Dost quarios octo,
Onintorum; reliquique sex, dictorum SexIO
rum; aeque horum ulcimus, decem myriades
Sextorum numerorum. Maniteltum igitur est,
arena mulcicudinem, magnicudinem habentis
aequalem Sphaera, cujus diametrus sic myrias my.
riadum Radiorum, minorem Pore quam decem
myriadas sextOrUM nUMCTOTUM: feut 1O, 000O
0000, 000010000,0000] 0000, 0000 10000,
0000,0000,0000.
A ) raer 3)ai pET POV Ex Soc Daiea Stcor pV- 505 Sphaera vero quae diametrum habeat. cen
cum myriadas myriadum stadiorum, est ejus,
quae diametrum habee myriadem myriadum Aa-
diorum, mulcipia per cencum myriadas.
Se
isitur ex arena tieret cancx magnicudinis Spta-
ra, ut diametrum habeat centum myriadas my-
riadum ltadiorum: maniteltum est, arenae mul
cicudinem minorem tore numero, qui HE, ex
decem ingriadibus sextorum numerorum, mul-
ciplicatis per centum myriadas. Cumque de
cem myriades sextorum numerorum, lit pro-
porcionalium ab unitace quacraselimus sexius:
e centum myriades, seprimus ab unitate
in eadem analogia: maniteltum elt, Pactum.
fore quinquaselimum secundum ab unitate in
evri oi p5 dr8285 aMos ouxco, Far dLrépcor 560mOrum; Dolt illos alii octo; Secundorum;
cadlem
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E5i  pveadES TCV nEncor à eBV. 
vmpor 3V, 63 S LapopS ∞ conndos _ pEgB EX
505 10or Fa0 Paipa Za FaV apbet V S0V 5a
Sicor p perptacor, S ÉNaCSOVESI  MaI pvra
DEs 2COV nEpCor apd ucor
A dE TaV X)QLETPOV EXSOW ODaipa SadICOI
prpiar pevoradcor, no a conaooV Est r15 bful.
Pas T0LBOUS TaV D)a EFpoV SadicoV P pop
dcov, Tp propradca. Et 3V qvoro ex 8 p
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Daipa d ExBOW raV D)a ErpoV 50ut pt
proptadcor Darypor, on  Exa Eet F18
LapS CNndoS, 8 Quous apibuS  NOMaTNa
oraddour rar ixiar pvprae dcor riov nepncov api-
pCer, E P pEPICOV. F NEt d at v TCoV mEpCor
epiDpCV LtCI pVPtdES, FEFPI19G03 E3 dito p
rados aya negor at) p proprades, ebdoS ano
edocor eo dutcd dE dt pet adoo, tatoo
pcov  oi pes 28T85 aMOL onTCO, Fcor Tesit ut et
dE p CoV TeiESS aMOL OKTCO, TCoV retap C
Oi p CAV rETAPTSS OUTCO, TCWV MEpIncor Bt DENOI
ot EZ, EZCV ENZCON NaNSidcV er  OEqaTOS
auro est  = pvprades Y TCV EKFCob propo
Parneo EV, on ∞ S auS Xdo5 3 2 7)05
ExorroS 1o0V F05Paipa T TaV 24, pCpr 280
cadhcor  RVPTCKIS pVeicoV, EEAAOSOV ESIV y t qv-
PtadES TCV d ExrCoV a pi bpcdV.
ptantS propradcor p, noMaconaora est ras oDaipas
as CXBOUS Tar X)auVETpOV Sdicor  puIcNIS -
elav, F P popradEa. Ei 3r u0120 et 28  au
us oDare aNINaUTa X pEr)oS, aNina esir à
Pate i exsou rar _)aperpor Sadicor pvprenS
uopiadcer BP. Darmpov, on x r8 V a popex cony do5
EnaCSOV EOCIr) 28 quou aepibuX  noM aTONa
oracdour sar propradcor 7 exrcor a eDcor, X 7
e uves ddea. Eret  ai pd FcV exrcoV aoIB
pcor dena uveiadES,  EKTOS C TOSAPaNOGOS esi
ano porados ara nozov ai)o pverades, ib
douos ano porados en ras avrâs avanoyrai dn
NoV, ert o quovoS Eoeiras dvonc ASB cot
BB. in. CB. nardicor. d B. Eavra. e B. Exvoa. F B. pverados. B B. chaasat. B B. Meu. V. ob.
Xnadra. LB. pvesSS, in B. sNcicr. n B. HOMaXNaevior guniav. 0 B. atGOr. P B. exros.
Suppleo is
B. F ex Y. u B. avrss. _ B. pevecadcr. y B. X ex Y. 2 b. poszosa
paexis povecadcr pveicor. CB. Enacr. d B. en Y.
e B. corpraedas pvelas. f B. raeninceira
ax naeoiar. i B. en Y. k B. r E propraidbs. V B. ex Y.
Suppleo e.
a
B. andio
V. fv.
DB. 8uo ny murane
m B. exris. Et B. a1 ai 1 079V.
B. N0X.