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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 20, page id 867984570:0048
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LL ADDII PTOLEMA+
Cap. 9.
calium parcium quatuor, quialium RCE est erium;
qui uerinque Cune iplarum coni, contonanciam
taciene Dia tellaron; proprer racionem selqui
certiam. Sumpta vero F. R talium trium, qua-
lium cM KC duarum; facient, qui urrinque
Junc Poni, Dia pente consonantiam; Proprer
rationem lelquialteram. Iremque, si ita diri-
datur tora longitdo, ut sE F K duarum par-
eium, ee R C unius ejusmodi, erit Onitonum
Dia pason; pro ratione dupla. Si LC, ut F. R
consticuatur partium octo, qualium RC est
trium; erie Dia pason e dia rellaron conto.
nancia; in ratione octo ad tria. Si FC, ut FR
Tic parcium erium, e XC unius ejutmodi; c
rit Dia pence et dia palon consonancia; in ra-
rione cripla. Si sic denique, ut constituatur
F. I parcium quacuor ee LC unius ejulmodi;
EK HaSL̈OECS HOSBBCOV, 2cicov EsIV n Xn ZC coV
oi na Excreper auruor D Doyzor norozor rl 218
aec ouppcoriar D∞ 20v direor nogo.
F01SZCOV  XapSarONdinS D EX ZPICOV, dicev EB
n un duo nooso et cD Enairceor d oyot +
diee nerre oopocoriar dix Y iussNioV Nego. Kaj
eN, Ear d  STCoS Z)∞ApEd Z0 nv pennOS.
1d5 rE id Ad Ex zveodat duo TpquaTCOB, T) 
Xn τ3 aurS Eres. Ecc) 20 da nsr  quo’ Dcavor
a d7 dconaorer negor. Fdv ), ios re Y ed
EN ouVaTEO ZUnUUCTCOV OKTC, ds  n Z aurciv
TPICV n dia XaSCOV n did ZEOSÄBCOV E) 
Dcaria Xara Y ouxcd WeS ra Tesa NégWV. EaV
3, B css re Flo ido EX Tuqua TCoV Cvat TBICV,
rleo de Xn ZS airs eves n dia nerre n did Na
erit DiL dia paton Onitonum; pro ratiOnC qua- scor és orpPcvio Nara Y TPLEaSIOV Néyor.
drupla.
EdV des B c5 TE =l  id En ouvarod Tun-
parcor rcasapcor, rlo de n rE airs cres esa ro dis du nasir opopror a d  rer e
XN8510V 2070V.
Quod perperam Tristovenet, ln. Ol S déorrs oi AeSOEEVIOI 2015
tervallis, non ipsis sonis, dime
tiuntur Consonantias.
C7 Erum interim (ex his quae dicla TUNC)
non culpandi sunt Pychagorem de inve.
Stisatis Contonanciarum rationibus; quipDe re-
dte se habent: (sed de corum rariocinio; quo
 propolico descirerunt.) Sunc aurem Ari
Coxenei: quod nec hilce, ueur maniteltis, con-
Tenterine; nec, his rejectis, meliores exquitive
rinc: cum tamen in se Tulceperine, Muliea
Theoriam cradere. Nam, quod aftectiones hx
audicui obcingune, propier lonorum quam in
ter Ce habent relarionem, necesse elt ue tatean.
cur ipli: arque iridem, quod Chordarum carun-
dem perceptiones, detinuas, caldemque plane,
Hasno rai 3 roi5 D SorzoIE,
oSGUESSOI Ta5 ouu PcoviaS.
O15 adi dnCTVDaropeioS, Cx TSFCV, 3
neet D eveEorcS 7 ev F oop DcovtaS  No
Ycoru perpondéor aan des zep AMa net ∞ ay
nonogas aurcor si lu enninsor 8 cocondus
FoIS AeoEEvetoS dE. EAEt pnZE X85OIS, Eva CyS
ExXOI ovyarer pr enc iGo avroIS,
GoV V7HEGEP8S C Eryou eE decoenANOS 2I
QVErro ∞ Wdegocv EX)a) pXoIn. 20 pd qd, ra
rolaura nan F anocjs Wd DgnonSdeir en X Nes
Exer Cov Ddoyles cees amaSS avarnaior au
7015 Ésiv opoNoyeiV. Ka) WdCBOET, ∞, B TcV auTCor
habent ditterentias. Ouomodo aurem se ad in- arrins ccor, coeopdias C ris avras civat X) aDo
ricem habent, in unaquaque specie, qui eam
ea5. TIoS ) ÉxB02, nab Enacor eidos, oi TISVTES
constimune duo Soni; neque dicune, néque in- avro d’o  dor b, cC95 ̀ MyN85 ZT NÉyBOI
quirune. Sed, (quali ipsi quidem non cssent
reales; realia vero, qua interjacent;) specie-
rum lolummodo Diltancias incer se comparant:
STC CyrSON  am, cocuce avrcor d acope
TCOV orECOV, X de peraV ocopaTCOV 705 Das
Oc videantur salrem aliquid nuMerO et PTOPOr. o5 r cidtur puvas co gb SoN ive m  deEco-
rione lacere. Quod camen plane conrarium est. o ae, duio in Nerco noieir est de nv ruavrior.
ApeoroV
ZV. cior. a AB. nad. V. 1S engerceq. B C. 3rv. C5. - 1r. d GI. Y. e COTSOV. decst iis re. f AB. Y.
C aap bis. B AB. decs p. CAP. 9. a OV. -- vi0c. B V. ido 201. c O. L. etos. d DM. nezopdp. c CSV
2XDa. _CIO. X quedtor F auror. B AB. N. S. decst. i AB. aoeg5 n 85 duo 4DoY301. kC
imas aB. Y C5. docopgrar i. R eddo aurem ocip _ uouparo Per Reale e Non-reale, (Dotius quam Corpus u
Incorporeum) id urique hic rule Prolemaeus. (Non enim hic ambisitur, an Corpus sic, an Accidens; (ed
an Policiram habeac magnitudinem qux proportione debeat restimari: ex Sic intra.) Aeque hoc sensu, non
mirum E etiam Spiricibus Forre accribuatur nomen CorpuS; quatenus Rcalicatem dieir, ec Non reali coppra-
ciraour.
dutinsulut. n O. decil n.
DM
ea