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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 306, page id 867984570:0334
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PEI XRI
On 3X à CoA SV pe D éxd, aMa  Mos
70V. 2TENOS TS deNaTS NE actB. APXH 78 la
HEDa NaIS.
Ouxe non habet partem simplicem, minorem
quam sexagelimam. quartam. Pinis Decimi C a.
viris. Principium Capiris Ondecimi.
C A P. X I.
E 8. 1a
ee Manifestius autem areuetur propositum.
CEC quae sequuneur.
Agis adhruc per spicue volens arguere, Con-
L sonanciam Dia reltaron non elle Duo-
rum conorum cum semille; a Contonancia Dia-
paton, (quam ille Onitonanciam appellat,) hoc
demonstrare conatur. Astirmant enim ilII, Dia-
pason, esse Tonorum lex; Ouia concinet Bis
Dia cellaron (conorum duorum cum semilse
et adhue Fonum. Sin imperemus, inquit.
Mulices pericistimo, sex quidem Fonos, conti
nue e per se politos, exhribere; (non limul
admissis aliis Lonis prae aptatis, ne ad aliud ali-
quod Consonorum teratur Musicus; sed Tolum-
modo Tonum exquisiverir: Non, verbi gracia
Tono primitus Cumpro, puta Prostambanomeno
alium adaptans qui lic Dia palon incenlior, pu
tane Melen; e huic, Dia tellaron in grave, Hly.
Paten melon; atque huic, Dia tellaron, IIypa-
cen trypacon; lic lumat sonum secundum puta
FErpaten hypaton, cono distantem a Pono pri-
mo Prostambanomeno:) non Faciet, Tonus pri-
mus ad septimum, Dia palon consonantiam;
quod demonstrabitur. Jam vero, live id lic con
cinsat, (nempe, quod Conus primus ad septi
mum non taciat Dia- Paton,) non provier ten
sus imporenciam, (ut qui non exacte sumpse
rit sex hosce zonos,) adeoque tallum elle tatea-
cur Mulicus, Contonanciam Dia paton elte lex
conorum: Sive id (C, propier sensus impoten-
tiam, quod non poltit lenlus Ponos exacte lu-
mere: Mutco minus ei tidendum erit in Dico.
norum sumptione: (quorum ope se invenissé
supponit Dia cellaron duorum elle conorum cum
semisse.) Quod ec veristimum elt; (nempe
in Diconorum sumprione, non ei tidendum cl.
sC.) Nam non modo, non lic tic Dia Paton;
led neque aliud omnino consonum, (ab hujaS
praecile difterencix repesita magnicudine,) (i
re sumantur prorsum de retrorlum; sive lem
Der ad ca(dem partes. Nam per tonum, et
conum, ec hemiconium, non sumitur aut Dia
cellaron contonancia, aut alia quaeris praedicta
rum. Sin, ad eundem modum, sensus ope
continue lumamus Dia tellaron e Dia pente;
excremi soni Facient Dia pason: Ouoniam haec
lunt auribus tacilius decerminanda. Ouinimo
S ratione Lumaneur sex continui TOnI; (In
Octachordo Canone;) taciene, extremi Coni,
magnicudinem, cum aliquanco majorem quam
a Pracrisceor s’ar ae aNENEY XOITO X W5
xcipdvor ,  EEnS.
IFL paer ParEPCTBOV EN C Za) BSNopdvo.
1 ∞ = H)a Tcoapcor ooupcoriaer un circ, duo
npcioc (O) Fercor, D0 ~ D)g naccor ovuDCraS, V
avros duo Dcoriar Cxancoer, 2870 dciay ndeq rui
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ouj pon vavembaropducor id Tot 7  coeone pooue
rcor PBo7cor, iva pen naaDEpn) eoS aMo n Y
oopPcorcr o pSOINOS àMa pover X tover et Cn
Mn. Fc necorco Dboglo Deec D) a nao cor Berreivas
i peonr raorn) 24 nosapcor  ∞ Bapo 
Lar pescor I TaVEN D)a TSaecor TW ura
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78 rpeor8 8007(8, rovor o recoros D0o (O  pos
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DeXioc) ei r Sr pn Da ri acderciar d ai
Dyorcos ooubaiva, Y nocoror ∞0og sov, Xpos Y ib-
douor. pon noucir x Xg nascor, Vcudo5 ar evrot
o psoines, ∞ =l _)a nuocor oupcoriaer et TorcOV
ciras ErE X pin duva napCarer rlu aiotnoi
CFV 2185 ane bCS; noNV CNEor COn aG 1O7IGbTE
pO eccs rpos rlu X dhrorcor nlu a corcves
oxcu 0) aubarer x dia Trosapcor duo i ijuui-
685 rorcor 28r0 ’esir a nydesceor dn neos rlu
2 drorcor Xy Lw, Con Escu msii Ou gd pevor 8 3t
vercs x cia raocor, am sde aMo n, sia Y
MedO navrcos, r5 DaDoeas ovre ci
MVTCOD TCoV appoCopdcor, recsCo r Nat onoco
Zre Mi 7 aorcor aei Karee rovor yd C tovor C
nurorior, _ napbarey n cha radecor ovuDc
via n ak HS TCOV DCOCIOnWCOV. AapEBaVVTCN
ipcor, nara r avror reonor D aidoccos, eD
EyS x re dha TEOapcON _ X dhat NEVTE noiHSSOI
oi axpO1 ∞ da XaocV OH FaITa  aaIS EsIV
Evoessor. TC Norco cdi ot Xy ∞BevrcV et X0-
rcor EDeEs. et ouraxopdco navere i Eer TEBe
Xei r8 da naocor ei axpor DBéygo1, noinoVOZ ue-
redo5. C nara rlo aorlio rcoepoxlu mrrore
Terist rleo dconaoiar d TS ReuVaTS Xpos x
est Dia paton; rum eodem semper excessu majorem; nempe duplo illius quo Limma aefieit ab
qut
SC HL. C AP. XX. a SiC . Sed M. adessencor. C AL C. CEIO n LCDOnOn