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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 604, page id 867984570:0640
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604 P A P PDS AP F. X A ND RF10V.
A B C D E F C H
2020 3040 50.
+ 2 3 4 5.
R L M N X
7200, 0000.
20.
PROPOSEETO LHII.
Sit numerus A millenario minor, sed cente. Fsco 8 s A En eavem _ Z alados, ueXe sudvo5
nario divisibilis; numerorum autem BCD
quilibet denario minor. Et oxorteat soli-
dum ex ABCD exhibere.
Donatur numeri a Fundus F.; e qui fic
ex E BCD, SC F. Solidus ex ABCD,
ett centies F. Manitestum autem est hoc in
Se r 4o Ena ror redos. EnaEoS Si Y = BFA
Enaacor stnedos. 3 oor 15co  ex rts
ABFA ExpEoV ei Bett.
T7 Eicda ind rS pii A mDuno o F.  o de ex
lL TEV CEBFA, O Z. O EK TEV ABFN
numeris: Posicis verbi sratia A UnITatM SEPEOS EXATOVTEKIS Esit 0 Z. Bavepor dE 2 3ro 3) 4
200, et B3, et C 4, e D 5. Factus enim rcor apbuuor 28 A iocides Depareir o-
ex A BCD elt 1809O. FactuS auteM Ex radcor F, naj 78 B poradcor Y, X 78F pora
EBCD est 180. Hic vero centies sumptus dar d, (C 28 a poradcr E. O u id E ABFA
erit 18000. Linearis demonstracio ex elemen. esi (popicdes a) uorades no de id rcv
IO DaFCF.
EBFA Esi poradES PX XF O de quo 
Exarrrants, esc uverades (a, prades ) H. T0 de requav CM rod 501Xes dyNoV.
a B
300.
BF A E Z H C
K A e C
80MV
AIV. l, 210. H.
26000.
180.
PROPOSITTO XXIV.
In cheoremate 24. Posito A verbi gratia
2007 65B 300; item C 2, 63 D3, (5 F. 4.
Solidus ex ipsis factus, erit myriadum
244 simplicium: Si nempe duplum nu-
meri numerorum AB metiatur quaterna
rius per R.
DVT enim ex eorum LunaIS LC spGu
CDF. AE Solidus FI, erie unitatum 144.
Fst icaque myriadum simplicium 244 Colidus
ex ABCDF factu.
c  P Pd O C GEPEOS. AH NCdV
3V (proptcedcor) P po d ESIV O EH TCOD ABPAE SEPEOS.
K A.
Ent Se 3 usi decophua r05. 28 A L LBNCI
edus ners zeeer pora der 5, is S B fctu.
Scor F. is S L pora Stot B, 5 Si A Mo-
raector Y, i S F poractor S. O ExpedS dE
avr isas pvecactor à N Cor PA SI. LaV
ro StnNaoior S nX ndocc Y AB UESC)
Eod TEFCadoS anaE XEI Y R.
EaE Vno rCor Z H nob dcor  ZCV L_C,
a B C.
200. 300.
14470000
MV. Ppd.
F a
id.
Ea
a PrO
ScP