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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 292, page id 867984570:0320
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PORIMILMII
 nam sent eorum rationes, commode definie-
cc cur suis locis. Jam vero opportunum erit.
ec evidentiam demonstrare eorum quae ba
 Etenus tradita sunt: ut eorum cum sensu
e convenientiam indubitato subjectam ha-
 Beamus.
Prima ratio mulcipla, est Dupla. A dupla
vero menturatur Guadrupla. IIae aurem ratio.
nes actribuuntur, ipsi Dia paton, et Dil. dia pa
son  Tril. aia pason: quae itaque Tunt Dnilonx
Primae luper parriculares, Tunt, Selqui altera ex
Selqui tercia: quibus actribuuntur Dia pente, ee
Dia Teltaron: Sed e qua ex Selqui terria e Du-
pla componitur ratio; qua conspicitur in ter-
minorum habitudine quam haber numerus ad
numerum, nempe 8 2d 3: ZX Z =-3. Trem, qua
ex lelqui-altera ee dupla componitur; racionem
Faciens eriplam: 3XZ =- 7. EL, ex reliquis, lI
qua ex selqui certia e quadrupla componatur
ratio. Attribuuntur aurem rationes dictae, cum
ips Dis. dia pason ee dia- restaron; iiem Pris dia-
pason ec dia tellaron; item Dif. dia- palon et dia-
Dente. Omnes hx cum Dia. penre, e cum Dia-
TeCTarON composita, VOCenEuF ConConantia. RUT-
TuS, Tunt (Dost le lqui terriam) rationes luper-
particulares, selqui quarta, sesqui quinta, selqui
Texta, selqui septima, selqui octara, aliaeque plu.
res: quarum, quae alumuntur in compolitiones
sesqui certix, vocentur Concinna; eltque in his
irem differentia (quemadmodum in Contonan-
tiis) secundum quam, Concinniores ex his di-
centur, prout contiderantur in excestu ma-
jori, aue in dirisionibus in prove aequalia.
Prout Fusius oltendetur in propriis locis. Cun
aurem, Onisonanciis, e Contonanciis, jam ac.
commodati line numeri ee rationes; non autem
Concinnitatibus; (excepta Tonica: huic enim
tribuitur racio selqui octara:) ea quae Concin-
nitares omnes spectant, Doltea cum ex ratione,
cum sensus evidentia, extribicuri Cumus. Uni
Tonantias vero et Contonantias quod spectat.
cum jam ratione exquitirimus, quanam elle de-
benc; Agedum, per Sensum item scientiticum,
ejusque cridentiam, ea quae jam dicta sunt,
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nderde O (C 28 dmnaris Nai nolcdv Nogov Te
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39 Scor i 3) 9 reOsapCOY, Waet Zn dis X)∞ X a
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naet Ers D dio. TEOSCBCOV, ovpe Davic H NetDco
TTaN noV, pera Y Sire, TV Négos empe 1OI
oi pd Exrreraero, ot  eninepmot, et  EVEH ToI,
oi deEmedouo, et de enydoet, Xas NOL X NEtSS
cov, oi  Dg. napEarvot Ei5 res ouv Déods 78
EmreerS, EpNets no NetD OVonS Nr TB
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iu ai ExpBENESEeOt en ioov) circs, ruo decopetadas ev
rEPOXN ME LOVI n 2JaHEOEOI Xa CIoDIS KaSo
dias nXClOVcOV EY 2015 oineto1S dod X)OE) 20IS
Enet DEF id oucDcorics, i F oup DcortaS, ndn
Ca uoi re nat  Nogot Eisi Wo da bCbAuor E
de Eppeneias Sd EWo Nl D LTOVIOtasi TaVEN
id o énoydo O drodeda) 20 pi nara res ei
_E NEta a OCS, VEEpOV dia TE NC78 Xa, ~ Eva
24145 a 395700pd Ta5 de ouo Dcovas at ov
Ocortas; Cnddn dio 28 Néy8 eZeveoudv, arrves Et-
vas eDEt ABOI DEpE, nest dha  Emsquoriiens credu
ostendamus: Sic enim oltendetuir, quod ea quX. occos, neet ~ ∞ D9. raVTHS ’Eraerias,  Eion dv
rationi conveniune, contona sune ipsis audicus Emdeihcop ourco id r 18 Noys deX )oCraI
perceptionibus. Finis Seprimi Capicis. Princi
pium Octari Capicis.
ovuDCoVO F ~ anon5 ovriNy L Eor. =FEN05 78 eb
deps neDaNaiS. APX r8 1ydo2 neDanats.
dE nancs du Exot us csat Emde a
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ce adnon aurcr duoyvor adhaNCE
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Sic MF.
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