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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 339, page id 867984570:0367
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GOMMENTARTOS
nav TVroIS S Na CRnnS rorS diree ouvexoudvor
v es cotcor PBoglcov, 2GHoquOV ESt AEVTePOV, ~ E
InEe LD HIVOVLDNCOV OVEZOdNOV, a XenGOV ES
FeVTOV, ~ EV CC aVo ZD XWVS pdCOV, 2, 1. Z enGOI
FErapTo. Y du d iscorcor voerezoduor boq
Ycor, _ Xenoquor Tepmor, ~ Y X. s
dEIEZOLVOV, q ä ZenGOV d EKToV, ∞ Bn CC au
exensor EbdquoV, X d enep nat avro  is
TCV OLCVEXE), n XenoqpovES Nlio isor en na
a aca NaTANapBaVOV), eV TE aIETASONCO TE
D)à nascor ovsquar, à M SV nancva ra aura cior
nai under ExOVTa 
28 dneDoMais
Maylee coCS TaVc. ApXH
prehenta, ec inutilis. Sextu, , qua  IPIa
est inutilis. Seprima, AH, Ila oM IlanEI
dum, quod etiamli altd Qua CaM TUManEUE, in
immutabili Dia Paton sceale; lune ce ipla
tono diazeuetico,) quae, Tonis Bantibus com
prehenta, ucilis ell. Secunda, PX; quae, 50.
nis mobilibus comprennu  sltilis. Ter-
tia, ENI; qua ee ipsa, mobilibus contenta, est
inutilis. Ouarta, DM; Conis Ctancibus comipre-
henta, es ucilis. Ouinca, CL; mobilibus com-
bus comprehenditur, csu uco. Scd AtcH
cum his ealet, nihiloque habene ab his di-
verlicatem. Principium Capitis Ouarti.
A P.3
a Tis praeexpositis; Systema quidem simpti-
citer, dicitur, Maonitudo ex Consonantiis
composla.
BRocedic tandem dicere, de Systemate. Id
L aucem detinitur duplicicer. le primo qui
dem, absolu, MaCdO ex LOMOHALCIS
Compotica. SeMaOaum ConONaNCa, CI
cX srcor dn Woesenr )udicor oisqua  
NCOS, NaNEI. YodOV pEZ)5
ECH OVpIPCOVICOV
1obaMe Nonor cireir coei oussatos ce
CEta) Sudto ico Ratoo  aconcoS
oruDcorta est, ooyneor pezodos eE Expncudr
ovuDavia rd 10c05 20 _ Tapcr Esta
ra avrd 2)aEquara OuoicOS ngi 20 3) 9i nEVTE
2usqua dE Z0 e aEE coyXCVOV, dn Nove ZC
3a ascor o dn (C 3 oouDcoria XAnDein, eM a
orucoria ouuDcricor Opoicos CC 20 Z) 4 ms cot
i 2)_ reoapcer xar r0 3∞ nascv X, DJai nevr
CC r0 dis H)a rascor n ra Crenei a 18ttset
202515 3 rereanis did Hab c na san ot
Duor a di noi E oNE NoyCor
E5W, co5 Dnor, 20 dis  _ nacov T870 qd GEiE
Ta 3 aurcor svy AOn a  X avrO
3 peovai Sio na) _VC NCOS Nat TENCIOV F0 701870V0V
TaS oVuDCOVaS, p F nad Ear cid cor.
ex concinnis compolica MasMdO.) Co
tancia est (puca) Dia cestaron; ejulque Dia
Cemata, Concinnitates. Rc similicer Dia. Pen
r0oryncidvor pez)os ex ooupcorior Kadinve in
FITa HaI FO TENCIOV ~USqa, de(CrI. F0 NEtroV
er penderi ExEt K_) RaVTaZY ZOISTW FD HENCOV Ka
1c. Syllema reto, Guod ex spus componi-
Tonducia vocetur, quam Consonantiarum Con-
Ponantia. Ft Similiter, Dia paton de dia testa-
ron; itemque Dia pason de dia pente; atque
cur; nempe Dia pason. Ouod non tam Con-
Difdia paton: Et quae tunt ulera haec; uepore
Ter t Ouater Dia pason, ut ait Plato: sed
hac Prollao putantur superAua.
Deinde, Syctema Perfectum, detinitur, Ouod
in nihilo deticit. Ouippe dt (unirertim) Per-
Ion. Hloc enim connet (ul dememtaluus
elE) non tancum Contona masis elementaria;
Dia tellaron, e Bia Pente, equo et s
Xa, co5 dcihet, un pover ra Gorxccodeseg ou
Dcova, 207) 4 d, net Xa E, nat 10 et abru
2) ∞ Naocor aMa 1 +a 10. cot codct . CH, vat
SX EGei Ta dEVnEp aVTO, S NEOV EG Ct, y ZaVT
fectum, cale elt. Flque, ut aic, Dil dia- pa-
componut) Bid Paton. Ieu de horum spectes
omnes, et qua ex HIS COMPONUNEUT. OUX
altcet cucla Hdc Lune, non hiaec tubc
d nat 20 S HEVTE, Su ar oNCoS nandeier ovsi
geta sapra funt, non plus habette escat haec
Tola. Adeoque hoc elt, proprie, Syltema Perte.
etum. Ouod detiniens, dICIE, OneS COntMere
Secundum primam isi Deoen, OMM-
squa O deo , Nezt, 20 oEiEXOV nuod
KaTO VBV Y XGCOTOV oeCV, Naoc ai ouoder
Consonantias, cum carum lingulatim speciebus.
RatoIS aVTaDNES EdVDE VBGA 1d A)a HaDCOV
Oura id eis rO rEMtrepOr WeiXy n apuorta, co
nes compolitxe consonantix, dicantur Syltema
ta; etliu revera, Dia tellaron, et Dia pente, non
generalicer dicerentur Syltemata, urpoce maxis
elementaria; quoniam receribus sufticiens vide
bacur Syltema Dia Palon. Non enim ad ulterio
rem perfectionem perducta fuerac harmonia, u
ouucria ovsuara av nan Derer et nei 20 D8
para, ids GorZCodEseq Eret rot 22 nay 2015 na
susca 20 dis Ba nuscor, eo reaeta psomn constitueretur Dil dia palon, (in pertecta mulica
LMIE. decA EXrIV. ro BN C avro u XEHu
MasI