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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 440, page id 867984570:0468
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AM A NV E L IS BR Y B N NII
aequales, Facimulque Cso Faly palCH, NOL C
zeugmenon, ad Neten ejus, hoc elt ad Neten
hyperbolaon,) dictas duas rationes (uPer-par-
ticulares; nimirum selqui sextam ee selqui un
decimam; 12) 3) 2 (3 (37: residuamque ex illa
rationem, hoc est selqui-vigelimam primam
dionoscimus esse accurare ractonet Llypates lua
Hoc est Neres diezeugmenon, quam habet ac
ejus Larrpaten. Si enim, a ratione lelqui.
ierria, auteramus racionem selqui lextam e sel
quiundccimam, Nou alta super Particularis ra-
tio reliduum ex eo concinebit diastema, quan
fa3 dd edec  eacota abtab. ntoc abntht olc d
aNcr, nGOS Eleo vnElu aoro, 1206 rlo virlus 3
Vrep Conaicor, Corr cionus5 du0 M165 AYS5.
HTot Y Prtexror n Enverd ena ot na) E Kenoo et
avrS Négor, yroi Y ExeinOGDAGr, Ha ZVCONOUEH
ane CcS eiras Y D vrebrS auXS Nogov, iFol  V
2y5 F deYidCoV, OV EX 10B cud tap
avrS. Kat qd cince à DEncop r Priexror an C Me
denaror nerov, dio 3 Enrre1EX 110, 8dc15 a
e (O Z EnINIOCsCOV NOYCOV ~ Ket oEvo EG aWTZ
EDEGCt 2)a5na et pin pOVO DCMONGGOHECOTOS.
Oior, i odcrpaloS, o 0y donnovraonrco den
 33D T8TE aDENCONEV TOV TE SMIEKZOV CEmEVDE
quipre ni Eune eri qui, in diallemate doprinorra exla srot noy rd eroir oi evris em-
20 iEvrepor rerexodov r8 epiEoudis 2018.
Acurius Tetrachordum Aypermixolydii Poni
xpoparnst babtorot .
icoibrn.
Telqui cerrio, amborum dictorum cerminorum,
seu numerorum, dialtemata harum rationum
continent; nam numerus sepeuaginta septem ac
numerum lexaginca lex rationem tacit le (qui
Textam, 33 = Z = 1Z; atque ad numerum octo.
Sinta quacuor, qui est hypolosus seu terminus
sequens relidux ex Celqui terria rationis, ratio
nem selguiundecimam, 34 = 1 = E =7,) reli-
dua ex selqui terria ratione (post ablationem
dictarum duarum rationum super. particularium,
hoc elt rationum numets octosinta octo ac
Octo SIHTA. quacuOT) non alta cst super Particu
lacto ratio, quam Cola lelqui-rigelima prima
d66) b
=27= 2323 sett 17) 6) 3 (3 (37 = 23
txcellus urique numeri octsinta octo ad octo.
ginCa GuatuOr, CA quaFOT: LnEque quaTUOT.
numeli octosinta quatuor pals plaecise selqui- vi-
Cea prima. 88 - 84 = 4. 4) 84. (2. L.
Arque s per sectionem relimus Hujus 8C
Cenus Chromaticon Sfucoo
virn si cvyedticor.
relrn inepeonaitur.
naeartrn  boncicor
viren re cpboncicor.
reirco Daesiuan, rior eipnedicor duo opcor, eir.
ou depucor, a HaSqua  FCV FOISTCV No-
Ycor EnExOrrES d id Ebdounnorraena axiuos
coeos pd F eE quevra eZ, noiet degor Srienror neos
de Foydonnevra a Cg, o5 LbNOS ZS RE
idis ex rod Sareirs noys, + Srevdenaror
o namo O ee Noy O Cn 28 EmresirS no-
78, dro  a DCipEoECS apDOripCV ZCeV ejpn dcOV
ETTLIOCICV NoycN i rot 78 dydOnHOVTAIONZC H5O5
ov oydonnovraosa  Cdn e O av ein rcV
ENLIOCICOV NOYCOV, et pon pSV O O EH LEIOGOEC
705. H gd rcEpoxn τ8 oydonnovaOKTI AEOS Y
eydonnorra  a esi ra de 
Exletuosonecoror pes  es ane bcs 18 oydon-
NoVTa .
Fi dé ge na) 3)4 F nararopens sud sstaerlus de-
veris Hypaten invenire, itemque, quam habet XscopEV 58 F01STS qss copeu en de nayor au
haec ad Parypaten Tuam rationem; Diridimus in Rozo nEos rio apVNa aVTS nenmi Na
Ejus Parypaten (jam Facta,) HOC elE LPIIEM-
hyperbolaon, in parces unam et rixinti inter
pspuer rleo quoudilio rapurarle avr8, Hrot xleo
resrleo  vrrco o aicor, eis ex n eirsor peeen ioa
osd  raponarm aurod, nsot rnv 281 20) E
Lepbonaicor, iolo onn avrn nai  crdenoru
AEpet aurnS cos Exeu aurleo EoS enculeo, Not
Cud EHWFOV.
Kaet pEd raura a CaiS dro S emXITS N
Triren hyperholxon, aequalem ipsi cori ejusque
Parci undecima; ut habeat haec ad illam ratio
nem selqui undecimam.
Posteaque auterimus a ratione LC(qUI LEPFIA
(quatue habet ejus FIypate, ior cta Nece die-
Tola setquI. VSCa Prima. Sicur, in Hypo.
diomale, umerus octoza c ad numerum
desaginca sex, rationem habet lesqui tertiam
lelqui sexram et selqui undecimam, hoc est nu-
Z;) unde E auteramus rationem
p scpertace aosrke esbe eat
merum Texaginca (ex e Septuaginta seprem, LaFOV NegV, nTo1  chnovrac  uor n t es
a Mi-
raponm n rec.
aparira in aexarbe.
viren