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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 128, page id 867984570:0156
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CL AEIDII PYOLE N A I
Petrachordum; fumences item in illo sectio-
nem eildem numeris consticuram: Duo facie
mus Dia palon: Oux quidem, cum ueraque
Fecrachorda lint aequitona; crunt et ipsa Dia
pason inter se, sinsula, aequitona; et quali du
Dla: cum vero tetrachorda, Dia Pasen tentio-
ne, incer se ditterane; erune e ipta Dia. pa-
son, eadem magnicudine invicem difterentia
atque ad Dil. dia pason usque conjuncta. Id
cireo; quod quidem (post sumptam iplius FTK
Consicudinem) non, hie, ulcerius procedar (ac
locos acuriores) lonsituainis diminutio, (quoc
in priori macadiorum applicacione continge
bac; cum alii ibidem Poni acuristimi suppone
renEUE;) Der se Paret. EIt aurem ee mani
teltum, quod, sccundum hunc modum, prior
duntaxat macadiorum utus locum habet; non
item ille qui tic per masades communes. Quip
De cum, que sunc secridum lacicudinem di-
ltancia, cadem necellario serVenEuE Per tOran
chordarum lonsitudinem: Illa quidem dispo.
sicio, rationes qua eildem Ponis (h. e. chor-
dis sonoris) concinentur, ealdem renebat in
utrilque extremis; (congruenter ad eorum iden-
citarem diltantiae secundum lacicudinem; cum
nempe lupponerentur omnes, in partibus op
Poluris, Dia palon lacere:) Ilaec rero, (ut
quxe omnino faciac distimiles rationes, quae eil
dem sonis, chordisve, e eildem secundum la
cicudinem dictantiis, ad concrarias partes con-
tinentur,) non potelt lldem, his per totam
longicudinem similicudinibus debitam, exces
tuum rationem complecti. Acque ita quidem.
mechodorum (quibus, dimidiis numerorum (0
nis, duplorum lyltemata secemus) ex poriori
bus hae Funco. In univertum autem; F.XpO
Ticos nunteloo, quancunt, aul eos utus qui Dia
paton duntaLa COLACIMCII sBS oporcebit ad
hibere, qui a Nece diercusmenon lectionem
continene, ut su medis centionibus sumatur
CanEIS: ad eos aurem qui DiP dia paTon con-
tinent, illos qui à Nete hyverbolaon, aut 2
Mese, exponuntur; ul, al nque extrC
mum, similiter icidem tiori pollt aptatio. POr
ro, cavendum cAt, ut, quamquam minor sit
mobiltum magadiorum lacicudo quam eorum
CaP. 2.
rereexoedov, exna pS arovres  ex ereire ro ex
 aurior aepior ouvisapdileo nalarouli duo
P morgoopd DJ_ ascor ioorercor pdi auDOEecOV
orrcov Y rere a.XoCd Cov,  avrae ioorora e. M nNOtS.
CC cocrr ep dcond apPorepcor 2) En 3 2) 9 
ociv Hg Deporrcor reod. Da Décorrae rco avr
perc i ouva nopdva uexet 3 dis diae mu
ocdr. On udii sr conen coegenor er erraida u
∞ = ∞ DX pinnos, n d oV oE VrEpBS TONBS Na
daieEors cep ouvebavr  D X pOrpaS YCoS
erEpcor enci  dEvrurcor Pdorscor io deducor
aureder dyNoV. Baveeor N’ost C porn. na ra 28-
V r reono, n poriea regois duva) reoxco
pev Cuer) n dio Y norcorY pazadcr nap
Caroudin Ter qd nord NaroS deroxcor Z aurcor
EE arayrns, si ons S pnu_S F XopdcoV, meSuE
rcov cncun pdi n rah 15, V d r aurcor Doy-
7ceV ErEXods NoYBS, ergec, es cuarceq no
epala Cdv aures anonsdcos in ravromn 
xara Z conaros aurcr detoxis dieE
NEITO NOMOEVTES aNaTES; eV ToIS avrNCdOtS
pepeor,  ∞ dia rascv aun ), ios dar
darouois EPrpon Ny_S Ld rcV aurir
Odezcor, CC F aorcornaTa ToMaroS deroxior E
Exereea Erexouss ConEn duva) x ane
ASoV X CEpoxcoV  di oN S pXBS ousieno
oeabare. At B udi di  mdario repat F EDo-
Scor, nad a5 ov ev rois iutocor  Y ae pav
PDorros ra rciv dranaoior ovsua a a
réproixd,  rolavra ES ar cier. KaDoNS dE
rpoocNTEOr, Cr Cuncudxs a eu5. F id 
Stae XaSCoV prVOV WELEXSOCIS ZGHOEOI 285 2so
∞ vyrys Tcr d Lyicor  Exoras d nata
ropleis in ev F pEoS FdoCOW CrNapbarn) X
NeN O F  P ∞ dis di raocov, 585 dito 
virns TCV LECONaiCOV,  ~ uEonS, 2 Cnr)
edXS va HaT _pPOFEECOV FCr anecOY n opoicor
opapuo cac duinr. PN ) IPBOEHTEOV, dN Co5)
nar Exartov n P rcr xus ucer paredicor CNa roS,
FS TCV C95 2oIS nEpaOZ pdVoVTCOV, enEC EnaI
qua apud eXTTEMA PETMANeHE (quod omnino anods dor esi, ira un ouxvor pee   et apocoot
conrenit, ne magnam parcem ablumant longi-
cudinis chordarum;) ejuldet can su omni
Dus curramina aequalium laclau Circulorum
Deripherias; neque tiac variamo, cirea lons
cudines apoplalmaris interjectas; co quod opor-
ceal maxadia mobilia, alriorem habere polcio.
28 pnKXS Ta YBV V TSTS KOPTCOPAT MaVZCIV
Iscor XIHNCON = non FOS coe Depcrici i pin it
vnaj _S  DaMan, ei Y0 praZV rcov d
Vauarcor penren, dio ∞ Y dev 20. ursdva
Tcor paxdicor vitnNor épar reor ompcor exer de
nem. quam extrema. Incellisatur enim balis ov. Nociedco qd il Bâors rod vavor O ei 
Canonis in AB recta; eique ad rectos anou- à β cudeius noi arix dcvoar auri coeds opdus
rcoriah
128
BAB. ap. q ABOT. decst 3. CK. habenE. O. . r CV. Aaeporrar. reliquis deCH. ABOI. 3 r
GT. -- vat.
H K. aoeGOEK-. e AB. decAt F. y OI. 19 ractat. L AB.  AA - -. a LLB. Cora. BGIC
r. cOl. o. d Nam, verbi pratia, (in Genere Diatono Tonico) inter AB incercedie ratio Z; lCd, intet
EF, 38. C F. 1815 - -. fF. duvurro. B C. pdi rot  - - . B COTOF. -- vorcear. LV. C at. A VF. F a eid u
inn deim quati si, unde nom possent; sed in AB. deelt pum quod praetero.
lic
EABOTO. - - roc. in ABCVF, -- Ero. n O. dcclEF. d610. 125oa5. PV. decHLr. 9 R. exndeu-
rerar. sAB. decst u. FGL. aipuor. W CF. decA rors, malim rurar. x ABKOV. - 4. F. n nuis. y CBTOYF
10