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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 524, page id 867984570:0552
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=552
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 107 lines, status machine
# Lines: 107 recognised, mean confidence 0.82
# 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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524
unitate n Caceui analosia: Maniteltum ell,
Factum, estue allatos id lole rigelimum ocla
rum ab unitare. Ilorum aurem riginti ol
primores octo cui inicace, suus clctorum Pri
morum; qui post illos alii octo, Secundorum;
et octo post illos, Tertiorum; e quatuor lC
Liguis dictorum Ouartorum; ex horum ultimus,
mille VnitaLES guaREOrUM NUMEFOTUM. ManI
Fectum igitur elb, arenx multitudinem, maGnI sis (C o EgaroS auTCV Esi  podES Fcoy 
cudinem habentis aequalem Sphaerae, cujus dia
metrus sit centum ladia, minorem elle quam
mille unicares Ouartorum numerorum: seu
7000(0000,0000]0000,00000000,0000.
Tcerumque; Sphaera quae diametrum habeatso Hanr , i. oPaie à ÉxBo_ Tar 2] é’ pEFpOV
Stadiorum Myriadem, elt, habentis diametrum
centum stadia, mulcipla per centum myriadas.
Si igitur ex arena Heret cantx magnituainis
Sphaera, uc diametrum habear myriadem Aa-
diorum: Manifestum elt, minorem tore arenx
mulcicudinem numero, qui Ac, ex mille unita-
cibus quartorum numerorum, mulciplicatis per
centum imyriadas. Cumque numerorum quar-
eorum mille unitares, Ec ab unitare provortio.
nalium rigesimus octarus, et, centum myria
des, seprimus ab unitare in eadem analogia:
Maniteltum est, Factum, ejusdem analogixe Fo-
re trigelimum quartum ab unitare. IIorum
autem criginta quatuor; primores octo cum
unitato, func, dictorum Primorum; octo ab his
proximi, Secundorum; polt hos alii octo, Ter-
iorum; Dolt illos octo, Ouartorum; reliqui- 535 onr p oi nSCorOL ouW Za poVad, ZCV XECSTCOV
que duo, dictorum Ouintorum; e, horum ul-
timus, decem unitates Ouintorum numerorum.
Manitestum igitur clt, areux mulcicudinem,
magnicudinem habentis aequalem SpharX, cu.
jus diametrus sic stadtiorum Myrias, minorem
tore quam decem unitates Onintorum numc. 540 aurcsv E5 dena porades rcor repunicor apibucor–
rorum: Seit 20(0000,0000 10000,000010000,
000010000,0000.
Pursum; Sphaera cujus diametts AL cen
cum myriades ltadtiorum, elt ejus, quae diame. S+s laxw di, à oDareq à Exzou rar Z) a’uSreOY
trum habeat stadiorum myriadem, mulcipla per
centum mvriadas. Si igieur ex arena Heret
Sphaera caneae magnicudinis, ut diametrum na-
beac centum myriadas Radiorum: Manifestum
elt minorem Fore arenx numerum, quam qui
HI, ex decem unitatibus quintorum numero-
rum, mulciplicaris per cencum myriadas. Cum-
que Ouintorum numerorum decem unItates,
lic crigelimus quartus ab unitate proporciona-
lium: e, centum myriades, septimus ab uni-
tace in eadem 2n2oi2: Maniteltum est, Fa- 555 7CLaNOSOS ano poV (O ava noyr ai dep uo
ctum, ejusdem analosix fore quactragelimum
ab unitace. Ilorum rero Ouadrasinta; pri.
TaS avaNoztaS EaSCir = TerpCNOSDS ano prad B. Tcr de nosaCanOVa ToUTCOV, orio pdi oi
reco-
A R GHI TM F. D TS
aranogias ano porados. Tcir de orrid n, éiroor 28-
rcor, ourco pdi ei necorot ouv ra porest, Tcov o-
TCeV XaNSpdicor er oi d6 p 28785 _ OL OHFCO
rcov darEpcor _, ei p 5878S etrco, rcov 2etuV
ob 6b NO1O ZEOCPES, FCIV TET CPF CV Ha S
raprcor api Ducor. Pcerypor 3V, or ∞ F8  ap p
2op)05 F8  pEgCOS EXOVTOS ioV Ta 6Daje g Fa
TaV 2) G EF pOV exZ0_ sadicor p, ’énaosevécir n
Una) povades  riov TTapEcor ap  pcor
lvecor Saedicor, nom a conaoia Est 2450D at C4 5
τa5 E~S04S TaV 3) aErpOV adicor p, Ep quo
paedo. Fi Er voiro en 23  apuxo Paie ra-
PINaUa X pErcoS, aNa Es àDaie d EXX
esou rar dlauuerpor sadicor pveicor dynor, on n’e
AaaoVESCir ∞ ZS VauS X An305, 28 Quodi
apibus noman naora doar rar giatar uora dcor
Fcov 2 aprcor apiBcV, E P pvetadEOV. EnEt de
at p ECV TETäPECOV apid pucor XiNa uovadEs
OP OHTCNaINOSOS ESir ano porados 2 ara Nogov ai
DE Exator uvoadES, EodouOS ao WOadOS eK ZaS
auras vanozias dunor, est o quodvos éoscirc
Cx TaS aVZaS aVaNOyaS FETRPTOS ny ZPINOGOS
ano va dos. Fcir de reescspcor _y rptanOV (_ TBT CoV
NaNScorerri oi dE p 28785 onrW, rcov dd
TEpCI 3, ot p 28T85 MMOL ONTC, FCV TeircoV
CC ot  2BTBG OIFCO, TCV reraPTCOV oi de Novot
duo; ZaV NETACOV KaNSWCOVEOSV) i o éqaS
Lyaer 3V, ort ∞ 28 V appX X 17 305 F8 C puegodos
Exros ioov re s Paipa ra rar D)euereoV Ex SoU
Sdtor VCiCV,  EN aNSOV EaCI n i povadeS
rcdv népesdicor d e Bpucor
Sadior puve adcor, noMa conaora est ra50Pa
pas raer X)a(ETPOV exSonS ador vescor, 
uvecadco. Ei Er qiorro ex 3 lauus o paie
V TaNaVTa ANINa esW à SDaIa à ExSOM T
Hauerpor scedicor p pve cadcor dnNoV, cos enaoco
corcir d 8 Vapus ae uos, 8 Quoudis apius
nMaconaorDdour rar dena poradcr Y NEu
cor api ducor F P pveLO. Kat enEt at pdo Tcor
neurdcor apibucor dena poradES, TErapTOS est na
eades, Ebdouos ano porados en ras auras a
Danorias dnnov, o o quo O Cn 295 au
ro uorades ex ras auxas avaporias d’yhov, cos
oouo atas ontcona56S C ts lotu
8
B. ouris C emosis. B B. pverades. i B. pc71d 55. k B. exsoa. V R. enaaar. m B, rarde. n B. eM a ar. 0B
roman naoracdetour rur zexiav.
P B. oxrio ni emosis. q B. aZV. r B. agraedar. (B. potZ1d Y5. F B. exvoc.
hovan. X R. pverudes. y B. radia t. L B. Met aa havias dciour, rit de. a B. HErE anTES.