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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 15, page id 867984570:0043
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Duomodo rectius definiantur ra
tiones Consonantiarum.
Porcebit isitur hujusmodi errores, non
ipsi Rationis nacura attribuere, sed illis
qui eam perperam adhibuerunt: Conandum au
tem rationem veram et magis selat extri-
Bere: DHFTIBUEIS. Primum, Sonis (inxguicOniS
e detinicis) in tres Lorman. Leum quidem
(dignitatis erso) Unitonorum; secundam re
2o, Consonorum; Terriam demum, Concinno.
rum. Nam Dia pason, et Dis dia paton, ab
aliis Consonantiis manifesto diferunt; (ut e
te a Concinnitatibuts,) ua sague apee.
appellentur Onitonancia. Sunto autem LIBDLS
detinici, Soni Onisoni, qui, cum unta 
ciuncur, perceptionem auribus inferunt quali
unius: quales sunt qui Dia Pason constiruunt;
quique ex hujusmodi componuntur, (puta ais-
dia pason, tris. dia pason, ec.) CoOHI vero
Qui ad VHNOHOS PTOSR ACCCCI. U u d
fenc, e Bla Tellaron, consticuunt; quique ex
AIS cum OnisoniS COmPONUnEuE: CONCI de-
DLGIpSVTES YSZESN oTE nuoN. O CC ESS mirum, Sesquialcera e Selquitercia; (nam, Bi-
205  ad da c XNyoor B est S eis duo tariam proxime, elt PloDe idem acque, in duo
ioci nera de rDs opoecuvss l Rpciror  r op aqualia.) Ec poll Onilonos, Contonorum Pci
Altatati
20 ese oqu DcevicoV.
(c FOSd TCd 5E 81 M0d  looFcNI.
atm qui ad Contonos accedur
les lunc Fonici, excerique istiusmodi. Oua-
Propter, e componuntur quodammodo Uni-
lenus ea Contonis; Consonique, ex Concinnis.
Flis ita praetinitis: Transcundum, ad Rationem
lis consentancam inquirendam: Cumpto qui
les nimirum numeros, sonis quionis, ault
buimus; lnaequales, Inaequiconis: (Ouipre quod
cum difterentias, pro earum ad aequalitateM
propinquitate, invicem comparandas este: ITinc
Ctauim Manilectum est, Aiqualirati huic, ProxI
me succedere, rationem Duplam; (ut quae ex-
cellum hrabet, illi quod exceditur, aequalem cun-
denque:) Onitonorum rero, apcistima simpli-
citaris ex omnium pulcherrimum esse, Dia- pa.
Con: Ideoque huic congruere rationem Du-
plam; (ipsique Dil dia paton, verbi gratia, Bil-
duplam, hoc est quadruplam; ee liqua sune
alia, quae a Dia paton intervallo, et dupla ra-
tione menturantur.) Porro; (Dolt rationes
duplas,) proxime 2d aequalitatem succedumt,
qua illas bitariam quam proxime dividune; ul-
HIaNNV p id 285 d1∞NaoBS N785, dgvoi
dem eodem cum Pychagoreis principio: Asula
Per se liquet.) Cunque huse principioeo
sentaneum sIC, EX PBLtas LonOruM InEGLITOnO-
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e O1D. c. 8S. deest oi. O. d ot. B5. n. 15. dee ny r. k CD. N. 15. 6. m M. Qusai
avrois.
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E5iv.
egrn.