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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)
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l
A P PVS A E F. X A N D R EN D S.
LROP. XXVI.
De universis autem theorema 26, proposi
tionem habet e demonstrationem hujus
modi. Sint numeri duo vel plures AB,
quorum quilibet minor sit millenario, sed
quem centenarius metiatur: aliique nu-
meri quotcunque CD F, quorum quilibet
minor sit centenario, sed quem denarius
metiatur: atque adhuc alii quotcunque
numeri FGFI, quorum quilibet sit de
nario minor: 5 oporteat solidum ex ipsis
ABCDE FOCF extribere.
ETnE autem Cinsulorum ABCDF numero.
rum Fundi L.MI N X O. Duplum vero mul-
cicudinis numerorum AB, una cum ipsa nu-
MerOTUM C DF Simpliciter muleicudine, vel
metitur quaternarius, vel non
Primo, metiatur quaternarius per R. RE
Tublticuantur iplis AB centenarii P R; ipsilque
CDE, denarii STV. Duplum isicur (mulricu-
dinis) iplorum PR, una cum ipsorum SFV
mulcicudine, metitur quaternarius per R. FF
maniteltum elt, quod qui ex PRSTV tic Coli-
dus, in solidum LMNZO ductus, (aequalis est
Tolido ex ABODF. ) Sumatur jam qui ex LM
NXOFOEI tc Solidus, sirque Y. (DicO) quod dn 0 Ex FEV AMN ZOZHO GEpEoS, j ésco d
qui ex iptis ABCDEFOH tic solidus, rocidem
lune myriades ipli R cognomines, quor lunt in
Y unitares. Iloc aurem Apollonius lincari de
monstratione oltendit.
A B CDF F. F C H
200. 300.
20. 30. 40. 10.
P R S FVV
IOO. LOOITO, 1O, LO, 10.
F. M N XOO
4.
3456, B00O, BCO.
2,0000,0000.
2. 3. 2. 3. 4. 2. 2. 3. 4. 3456.
4) 4 + 4 = 8 (2 = R.
Si vero duxlum mulcicudinis iptorum AB,
una cum ipsa numerorum C DF. mulcicudine,
non metiatur quaternarius: quaternarius igitur
illud per H diridens relinquet vel X, vel 2, vel 3
Si relInGNaE F; qui ex PRS TV AE COliduS,
mgria
relinquat 2; myriaces Centum cognomines R: vouos ra R c7 duo, pvecdes évaror oucovu-
lin 3; myriades Mille iph R cognOmineS. FF, pos red R d oE tpuS, uve ulia ouco
manilectum est ex praemiltis, quod qui Fic ex vopos rid K. Kai du nov ex r quopicir, on (0) ex
Td Se 672 naor Decopnua NE, Cdab
XneisS oi AB, cor EnaEOS EN aaco  ZuNid-
Sos, uere Sidvos S vnu exae rorruedos: is aA-
not a eDuoi dovidOTE oi  YNF, Eon EH
505 énaavor enarorras (9, uen sid 
St uno Sexasos iy a MOt MRW oBISHnO.
r31 aecuoi ei Z HO, con Enacos endo-
ocor sexa s O. Kai Séor e MK 7W
ABFAF Z FIO EopEOV et .
2irosti Er roor. L.3c0a 80d aeot
XaGSgd F ABFAE robusS et AMt N =O,
10 chconaor O YAB, _ FFAE a cNCoS
aeiucur (c D(O) yrot pEr cira d rre
05 9c
Merseiodco roehrepor lo sereados nara FK.
CoraXDcv 2i5 ido AB Enara 1
HP, 5015) TAE dexadEs ot 2. Ll. Lad otcna
ores aeg 13 on 1d85) THP, p 5 on 385 F
2. LY, perecin  t 4005 Nara FL. Kai
(100) Est FC EH TCIV ABFA F. GEBClo.  CtAVad
Parepor on O CK F HPZEY. d Y CK F ANNZO
∞. ACYC ON O EK TCV ABLRLLHC GEEO3
neov inidciter.
RVELadES aO 500V t ECd L, Doc pC
rades cioir eo rid 8. TBro DE geaINCS AnoN
A F F 
XuI5 _lV. DtV.
3. Y. B. Y. 8. a. B. 7. d.
CNV, NV.
renc.
Eav de o dcadcio O rS Coiid_S FCV AB
e TE TAHD_S FCV FAE, pin pEFpcir) LLod N
regdos urrpsid  aeq nara xk, ncba 
Era n duo n rpcis. Et pdi Eu era nérba, a en
a RCBBHO D PrO ob. 6 Deribitut 
e Scribiur