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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 472, page id 867984570:0500
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M A NTO F L IS BR X E N NIL
intensior est, quam Mese Phrygii, conico vo-
cis diactemate; A ergo Melen Phrygii, hoc
est. Paramesen, diridimus in parres novem in
ter se aequales; Facimusque Fricen diezeugme.
non aqualem ejus partibus octo, Cut habeat
ad hanc ea racionem sesqui octavam;) habe
bimus per canonis sectionem magnicudine et
ratione datam etiam Mesen toni Lydii. Trem.
cum toni cujusque Nece suc incentior quam Me.
Le dialtemare rocis Dia restaron; ( Mesen ejus
diridimus in quacuor parces inter se aequales; ta-
cimulque Fricen hyperbolaon aequalem eribus
ejus partibus; ue habeat ad eam haec rarionem
sesqui certiam; habebimus e Necen ejus similiter
marnicudine et ratione datam, per canonis se
ctionem. Tremque, cum cujulque toni Mese
sit quam ejus Fypare intensior rocis diacte-
mate Dia TeMarOn; I Mesen ejus icerum divi-
dimus in tres partes inter se aequales; Faci-
musque Lichanon meton aequalem ipsi tori ejus-
que parti terrix; (ue habeat haec ad illam ra-
tionem selqui tertiam;) habebimus ejus Fy.
paten similicer datam magnicudine es ratione.
per sectionem canonis. Icerumque, cum tOn
cujusque Mese Tc quam Prostambanomene in-
centior rocis diastemate Dia-pente; s POrro
diridimus iptius Melen in duas parres inter
se aequales; Facimu (que Pary paten meton aequa-
lem ipsi tori ejusque parei dimidix; (uE Ha-
beac haec ad illam rationem se lqui alteram;
habebimus etiam ejus Proslambanomenen ma-
onicudine similiter es ratione datam, per ca-
LoVS OuVIONCOCQ Y COnS S G C, tor
roiocod rus rpire Y V. 4BB Ka t CV, 10nV 5015 Zp10.
pEpEOIV aVTS; c5 EX8 utu a COS CnCivIV Nogo
Besrprror eEopd au vaiu viremo aurs dedoudone
inurns ovrrorcos e po  Pcorns dia
DcovnS 3)a5a H E t  solod slo pEon
aorS eis duo pEon 10 CXHAOIS Ont a No
ocopdo rio apotus ut pcov. eoqu onnaorn
naet re nutod puepd aurus, 1os ex auriu coeds exci-
rno Nezor npioNoV EEopd av nat  nEoONaS
nonis sectionem. Adeoque FacimUS ExPOTILI tO. vocdiin aur 3 dedouon us f  C 
ni lectionem ee diritionem, per praedictum cir-
cinum, secundum prae oltentas rationes cujus
que ex ance enumeratis octo generibus melo-
dix, ab ejus Nece acurioris terrachordi, hoc
elt Frice hyperbolaon, incipiendo; quemadmo-
dum ec coni Eypermixolydii cum omni accu-
racione ance secimus.
Cumque jam disternimus, Obinam in orea.
no ordinare de construere oporteat etiam Lo
num Lydium; proxime disseremus, Vbinam
oporteat tonum Mixolydium. HIujus utique
Mese est, quam Mele Lydii, incentior rocis
2)4 ~ FS KaVVOS Na (a FopS. HOIS nat ru
28 danudis: Fors na o.roplce Xa Z)apEoI, dha
FS reodenpuere KaputrS, nar CoV reodcd dyuers
20785 EKa5S TCOV NGONaTNCY pE  pcNce
distemate Femitonico, Seu porius Limma. Malco r Dcorys casipasies, uamor cireirnu
tico. Hlic enim conUS, ut ostensum est, Ne-
ren Tuam habet Paraneten hyperbolaon; Ne-
sen, Paraneten diezeugmenon; Fypaten, Me-
sen: ee Prohtambanomenen, Lichanon me
Ton. Sed cum ejus Mese (nempe, in se
ctione soni Dorii) d Flypare sine magnicu
dine e rarione daca per canonis sectionem;
Sed Nece de Prollambanomene nondum datae:
vnen nat n o Napo irco ido dedornu
dantur et tae similiter ex tacili per canonis didorras db oucos nat avre EE EVX(p85 ) 9 275 YZ
sectionem; ut Tlacim ostendetur. Ouippe cum navevos na larops, iis auriua dex hivoc). Kat gd.
172
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irot us c asno, eis evvéa uepn 1oc a. MX H NO1E
duencopdo, i hoims copde oluo reirlus 7 de Lyue
vcov, 1onu 2015 BXFIO pEPEO aivruS, ids exem alu
vees excirnt logor enordoor eEopd ar 2) à 5 r8
varovos na . topons dedordin pcrc re nai noyco
CC Eleii pecono 28 A0o 1or2. Kat menw, Enddn nar
205 revX i varn D peonS ocrores repa. 20s D )9. 0a
pcov x Dcorns Aaspecot es car eeg rs peont
air eis reoso e p  nNOIS , na
opoicos pcDd i so 3)a D3 navor 6 na ta
TouyS. Kat aNV, enddn harios iors n peon 
Suuart E5i  apa sNW To peesnu avrS eis rpia
pepn 102 a. Mqs cencopdo, nat nosapd riV NL
Xavor F pEocol, ion oan aurn nai F TelrC pepe
auris, cos exdr auru oeds excrno negor chire
ror EEou e ai r oneerls aurs dedoudiono o
proicos pcg  n Neyco, 2) 0 D 58 navovoS na (
5oLHS. Kaet A NW, enddn avros rors i peon 
AGOSNAUSRHOLLS OEVTOVCNZECG Eo Da NEVTE X
diaes Drcor, ato  vius F8 oEvreps Ter pax opd 8 au
28, r01 2 FesS Tcv EBONeicov, apXopdvot
na dr 3e apas reenor nest 28 eppihonvds ro1Z
ME elSHS an eA Betas EroIHOE UCDa
AtaNabOreS Dei r8, 2E de r8 opzars racter
E nat naaon ae no+ 2 Nuchor rovor EEnS na
2et 28, 78 det r urhonuctor, chann opeda. FSTZ
Cpeon ouvrorcorEpa D pon5 28 Nodhs jurro
pate.1co. Kat yd 3505 d 20105, co5 ded etn), virtlus
edi Exd rio qr VnepBonaicor, ueoqu:
rlu c dgrurno rcdv dC dypercor, ux arno ) Ele
MEOHV XEGSNapCSAVONEIVD) V X1XaVOV Y uEr coV.
ANi pesi peon C ixam aurd, dedoueras perce
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1 ExO odtio repONO odH. Lit MOX, lupPICD 10o
14