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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 383, page id 867984570:0411
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 A R MO1CC sL.
Sda Eova S jurroris rrae aous dera es dudices aucem sune hemitonio minora, sunt incompo-
). ig ra purie co 8 dirors, evra ouidera.
H dEnara  O, nab nV a iV ESt TCWV DI4
syuarcor. Narorine o de recoparmei a de
Crapoa.
H de 2S pyr S nai adors 3a Doea est ob
yu Ecor 3aSqaEcor a pd Est pyra, d ) 8 Nog.
eyrae pd SV Esir, cor oier re Est 2a peztn diroct cionalia quidem sune, quorum magnicudines pol.
dorai oior deon, utrover, Lvor, Temprrorer lune numeris explicari; ue Dielis, Femiconium,
Provor, D)a TceSapcoV, nai ra ouora ravro sb
cireir, cor n Rogor esir ciroir oiev. Aegor de ∞
ut ri edi coes aaa na aeducor ge
Orv. AN03 dE, ra C DgMesTovra raTa Ta pE
rdn. S ∞ piCo n x Éxactor, aNeyco rvi
lica omnia; llcclerue eua acna clcorio ita
jora, Tunc omnia composica.
Dua elt lecundum Crenus ayscrenta, ea et
secundum quam dialtematum alia LunE BIatO.
nica, alia Chromarica, alia Fnarmonia.
Ouaque est secundum rarionale de irratio.
nale ditterentia, ea est secundum quam diaste.
macum alia Cune Racionalia, alia Trracionalia. Ra-
Fonus, Friemitonium, Diconum, Dia. cectaron,
similiaque; hoc ell, quorum rationem chari pol.
Tumus quanca lic. Palem incelliso rationem,
qua est alcerius ad alcerum habicudo numeris
explicabilis. Trracionalia vero, quae ab cildem
magnicudinibus diversa Pune, live in excedu
sive quorum nulla est inter se ratio numeris
actignanca.
NONEra).
pezid nros cor cudeis reos nnano ci sive in delectum magnicudine aliqua irrationali;
LM H N A E K Y O _.
Fce. ovsqua.
S E C Y tO S E X Y A
De Systemule.
OM de Diactemace musieo jam dictum
lic; Proxune de syltemare dilleremus
aoor DEi rS psoMS MasiqaS
13 C WEt T8 0VSuaroS 3aXLouc)a
ZuGnua 2ot vuW E5I, ~ CK WONCIONCOV A EvOS
Sasquarcor ooyneiudor. Far) ousquuarcor 210
Pocai eioir emta. Téaapes p ai avrai rois cha-
sipraorr i re nareo perc)os, il i Na rat t 3, i, n
28oVuPCorS i 2)4 PCrS, C n r8 pyr 8 i a Noy
Tlu ad reirum endetoar C r r8 Xasquaros cha-
Dopcor, à duaror  apZ oVSquaTS nEOS oVn
pa i zd con codéxe) ra ud, ouidera, ra de,
aoDera ciraj X oVSMudECOV τ87OV g2 Y 2G1OV
cince Y casnuarcors ra pdo lo ouv)e 2a de
aoui dera. TpeS ) icha 7 ousquercor chapoeai
cion n 28EEyS , VnCPCaTS  i FS oum dVS
SeLYuS n n TB EpVCTaCONS n apueTabONS.
MEzCH ad 3V dia DEpet TC ptCCo OUSquaa F
exarercor nadince x DIa HaCoV, 28 dia nEvTe
n dia TSapcoV, n dirors, n TeCToVS, C 7 ouoicor
Tn:) TBoVuPiorS nat cha Diors de1od 2a 14200
Tur svu corcor DB eCoV o ErEXOCo, ZcoVI D ZEV
cha Dcorcor. Zup Dcora dE EsW Ev rC aperaSONCO
ovsqua, EE. HpCro pd Ne ENOXISOVX ca TeS-
OcipceV, FoVcoV d uo NeI ReippaTOS, 78 iuiTovIS E9
7o15 psOrOIS Ho. NSS oiev EGW X diso La
LcarCV D Vncrles pescor ACvrepor ), ∞ dia
MEVT, XSICOV FErCOVNat NéspparoS oier est x do cribus conis ee limmate; quale el a Proctant
CGONaBaVLS S darm pecor paN- banomene ad Hyparen melote, aue pocius ab
lor diro rcoaris po  po ZetroV Flypace melon ad Paramelen. Lerrium est Dia.
S. Y diee aocor, Forcor nevre nar dio aduarcor palon, ex tonis quinque e duobus limmaris;
quale
FI aurem Syltema quod d Dialtemacis
pluribus quat uno como. Sfnacu
vero differentix lune Seprem. GUaEOE qui-
dem exdem ipla quae dialtematum; quae lecun.
dum magnicudinem; quae secundum genus; qua
contoni de diltoni; quaeque ell rationatt ce
irracionatto. Sed qua ceca expoa et calle-
mulum dilterencia, non porelt ete stetalis ad
Cyltema; quippe tieri non porelt uc Cyltena
cum alia linc compolita, alia incompolica; Piot
diastematum alia lime compolita, alia ineom
Dolica. Pres aurem dillerentia Cune CyHema
eum propria; qua elt proxime positi, de le
oei; quaque conjuneti et disjuncti; quaque
MC sistematis mutabilis ee immullab.
Magnicudine isicur ditterune, masola lycte
mata a minoribus; ut Dia paton d Bla Denue,
auc Dia tellaron, aut DIoM, a LMOHO, I
milibusque.
In ea vero quae est consoni distonique dit-
terentia, differunt ea qua a sonis consonis co-
cinentur ab eis oux d diltonis. Contolta reto
TanC, in systemace immucabili, sex. Lestim
quidem de minimum est Dia uttato Cx duo-
bus conis de limmate (quod a Musieis dicitur
Hemiconium;) quale est ab Hypate hypaton de
Hrpacen meson. Secundum elt Dia Pente, ex
a PrO Y meir res repionO ritc nirn.
b P10