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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 602, page id 867984570:0638
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=638
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602
P APPVS AL F X AADR I10V.
PROPOSETIO H
Jam vero, sunto duo numeri AB; quorum AMrd M escovar Sio aesduol, (oi) A, B, cov
utervis minor sit centenario, sed à de-
nario divisibilis: numerorum verO CD P.
quilibet denario minor: Et oporteat so-
lidum exhibere ex numeris ABCD F
factum.
Onco isicur numerorum AB Fundi FG.
Dico, quod qui ex ABCDF AE Colidus,
elt concuplus solidi ex FGCDF. Manise.
Ercoouer Dd F AB m Budiies oi ZH. AC yC on
(0) CK FCV ABPAE GEpEOS, Y~ CM ZCV
ctum autem est ee hoc in numeris. Potitis enim ZHTAE SEpES, EHaTOVTA CNdorS Est. Bavepov de
A20, B30, C2, D3, F. 4; adeoque F2, C3: C r870 N9 rcov de S A ovros povadES 
OuI Cx ABCDF sic Colidus, est 14400. Dui i 7SB poradEs  X, nei rSF povades B, X, 7X
autem FC ex F CC. D E, cAt. 244; qui cenries a uorades Y, C F8 P povedes d, C r3Z poya-
Fumocus tic r4400. Linearis aucem demonttr des B, nai r8 H poveides Y o ae 0 reov
eio cst apud Apollonium.
ABFAB GEDEBS Est pveaS a poredes, dv a
rs und ZUTA F porades d p ud. Sros ) quoc O inarorranis noui pvesaeda a porcidas, dv.
20 de geo ppvoner en rcir Ano n covis.
20 3C
24400.
241.
EHAGDSEaN pd EngrOVTddOS, uCZ SACtS
So vno Sne Sos. 2 So FA F E aGD5 C1 8. B-
ocor SEn a do5 esco. i No eo  ex D
ABFA E EEpEOV et NEIr.
a
NV. a3 M0. dv.
1d
PROPOSTTTO XHI.
RN.
Sed jam, sunco ires numeri ABC, suque AVâ du dr coocer recis à erduoi ABL 3 
eorum quilibet minor quidem centena
rio, sed denario divisibilis; quilibet, au-
tem numerorum D F F denario minor:
sintque numerorum ABC fundi 6TIR,
C sumatur solidus ex C FYK D F. F qui
sit X. Dico, solidum ex ABCD F F
aequalem esse millecuxlo numeri X.
N numeris manilectum est. Poticis enim,
Lverbi gratia, A 20, B30, C 40, D2, F 3,
F 4; adeoque (2, II3, R 4: Colidus ex
EnaGOS aVS EnSaCOV i Era. T0rred B5, UE-
255ueroS Sb r  Senedos EracoS St ds
AF.Z EC CNariCOV (dEn43OS La) EEC
. ACKd (OHOCX F AB LL L. L EEPEOS,
1005 631 7211015 2015 2.
IZn Parcoor 2a F apiBucor. ZS A ovros No-
 178 Xa e porades , _, FS B porades X,
ABCDE. F Factus, ett, imyriades 57 e uni. CB F uovades , i 28 = a provades B, i 28
tates 6000: Colidus autem ex GHK Fundis, e porades Y, i 73L porades d 2S ; H piova
iptisque DP F numeris, TuNE unitates 576. des B, i 78O uorades Y, i TBK porades d
tae aurem millies sumprae, qui est ipse Colidus a gae ino  ABFAFZ ScpCoS, esi pvecadcv vC
quatIcuS, FUNE 576000.
o.concor CC poredcor 5. o de ind ZHOK noB ducor
in aE Z, erai poradeur B0 5 aivrai qe ducinis quouvas. reres sepeos, Zwecus propieidcot a diov DC
nai porades 5.
ouer X ABF reduives oi TOK. Kaj ei -
An∞DC CX Z HLOR A EZ EEBEOS, 1y 2G,C 6
eorudus) Propter pixcedens averaiduor. sed sC seripeuI CP.
a Male lCtIBITUT d. b SCTIBITUT F. CLFO piv. an 10. dv o db. perperam scribicur ev. d, duo dd. d Male seri-
Or-