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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 321, page id 867984570:0349
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C DM MENTARIOS
u veras 0 LE Ext d rod 1( lo3 raa 15. AIque 13 qu GuasS HCH L2. Pmmnique
16
2C
16, 25, 12. (Nam 15 eL Me l2 lelqui-
QuarcuS.) Rursus; cum oporceat  13,
invenire sesqui rigelimum terrium; Oportet 15
16
habere partem vigelimam terriam. Lla
bec autem si musciplicetur In 23. Ad.
Coque, prO 25, PODCS 5+3,  prO
Tius 345, selqus. Vscas cerrius 360:
Cujus Selqui- guadra CHMu GunEuS CAt
368 368. LrIE iBItur primu Cecackordum
in numeris 368,300, 545, e 276.
Secundum vero retrachoraum lic constiemitur.
terriam componere ex sesqui- vigelima septinid,
Pesqui decima quarra, e selqui quinta; 33 X 13X,
=3: Oportet 3 habere parrem quintam. Poni-
muS isitUE, PTO 3, nUmErUM 15; eC, prO q, HU-
merum 20. Fritque, numeri F5, selqui quincus
18; cujus oporret lumere selqui decimu Guat-
cum. Oportet igitur numerum, iplius 18 loco
Donendum, habere partem decimam octaram, 
decimam quartam. Sepcies autem Factus 20, AC
T26. FTabecque parteS 2S d T4. Adeoque palo
135 Telqui-decima quarta ipTIuS +26, CA 135. funt
ry
que numeri, 240, 235, 126, 105.
Rursus; Cum cerrium cecrachordum constet
ex ratione lesqui visesima prima, selqui unde
cima, e esquI- IEXT; 2 X 1Z X Z = 4: OpORTeL 1∞I
tur ipLiuS Z loco poticum, habere partem lex-
tam; adeoque eric 6. Ljusque selqui terrius
elt 8; de selqui sexcus 7. Prerumque; cum opOr.
tear numeri7 Tumere le (qui undecimum; OpOr-
tet7 habere partem undecimam: Ced unde
cies Factus, Hir 77. Adeoque consticuetur, in
retrachordo, pro 6, 66; pro 7 77; (hujulque
Tesqui undecimus elt 84;) e pro 8, 88: Ut CE
hoc cellachordum, in primis numeris, prouc de
clacalum est; nempe 88, 84, 77, 66.
Sed quoniam rule eriam cetrachordorum OM-
nium extremOS nUmeTOS, rationem selqUI-Ter
tiam continentes, horum erium cetrachordorum
communes esse; oporcet numerum aliquem in-
venire, qui parres habebie cognomines extreus
trium cecrachordorum. Si aurem inVeHerO Cx-
eique adjecero parrem iptius cerriam, inveniam
eorum majorem. F. I aurem, in primo cetrachor-
d0, cerminus minor, 276; in sccundo, 105; in
cercio, 66. Oporret isitur numerum invenire
qui habeac parrem sexagelimam sextam, centes.
mam quincam, ee ducencelimam Sepruaselimam.
Texcam. Sic aurem invenio. Numeri 66, nu-
mexigue 105, maxima communis mentura cst
3. ACque s sumpsero numeri 66, DarTeM TeF
tiam, qui elt nuIeTHS 22; aeque hune mul
2370 ciplicarero in 205, Hc 2310. Sed cum re-
lim ejus parcem habere ducenresimam. sepcuase.
1cg 1B o jd 1E 78 s( EXITEaPF(O HaNW
Erret det rod 1E, Ext Wy WO EVpCV SE
exe wy 1ga dE Ext Xny Quo-
advos 2GE raEopd, ovit pd r8
1en Y TpE avn de 28+β,
505 avri de r
5
coGE ZNEOE EXt Wy 28 Zp
+E BEGIVY EXI
cae 3V ∞ nECOTOV  C4 Z0P0
apiDuois 28 FGN, iG FE, h E p
20 de devropot adscta 6tc LA qd de
mn ooyued Y SeroV Négor, et  5E
Mne, nai d id, nai en é det ae
répondor exeur rasop Sr, avri pdi 28
1E avri y 58 d.
Y X Ka1 E 0 F81
AEO o 1n ou dei ext 1d XaBEir
det aeq Y avror 2 av2 rS Ln 24∞OdO
Exciv in, nat 2 1d. E ans de quoE
VO o +n, ZVErCI PX5 Nat 2gct Xat 1
naer 1d. coh Ext 1d 5od PX5,  70
PNC.
1E(
Tan erit x TeirV rereXodoV ouveSne
Ex re 7S Ex1 na nar EX1 1a nat ex1 5 det
aeg Y avrov 28 y C’exro éxe conc 05
Kat o id creros avrod esir o n o de ent
5, o G. HanW Enet da 28 C EPerdEKaTOV Na
Ccir dei aeq  Q crdenarr exer d
erdenanis de quoud 9, zvera o ol cdc
rago ev 2 rerpaxopduo, avri idi 22
o E5 avri de ro
0 02.
2578 eperdenaros, o  d. arrt de 28n, 
 n ios Evaj i F8T8 ∞ rereg xopdov cv 10
recoros apiduois, eos dedinc)
AM enet edo BENCnG CSV arpBS ZEV Y 
7e4X0CdcoV, 285 WdECEXOVTaS Y EmITeLTOV Nogo
HOWXS Eva) Z E EpicoV e CaXedcor avarnaio
Es ciper rva dDuor 05 eEC B peepn oucoroua
5oI5 axpOIS Y TCI ret CgXCed cor FaV de Eop
 Exaova r axpcor Exerra ra oena pen. crelorum minorem qui habeat expolicas partes.
CC Wesdo X ZeprOV, cvenoco X, Y uet CoVa Est dE
oEnancor, e pd r nEcorCO TeT CgXopd ,0505
et de reo dapco d ec ev de r retrco, 0 E
Aet SV deipor Cipe d5 Eet EGHNOGVEKTOV, Exoro
509GS iov, XLanGOIBGOEBDOUIHKOGÖEKTOV. EI-
etoncs de 28r0 8F15 28 ido E5 C 22
BEs ∞ pE31GOY HONOV puEx per EsiV O y. Ka
Ear nabco ∞ retrOVFB E5, o Est ra X B
CC noa oNaoaSCO EnI Y PE, WWE) BF
A erret Denco avror excw i D)gngorGo
05
32L
12, 276; C PI 368. VECC, ip
Ouippe cum oporteat icerum rationem se(qui
y
E
57
343
205
210
na
210
atde
ME. Iccrum imniproos pro impi. X Suppleo iri quoe lacunam supplet a PrO 18, rerono id. b Supptec
P26. C ExTI FCDONO PrO ingsor. a Deleo um i c quodh eut. e MI. deest cirri y
decAt reiir. S MTA rePONO PrO pirsa. Ul atios LCTINC firEA.
d
et
h Sux