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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 150, page id 867984570:0178
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EL ADDTI PTOL F MI A. Y
menos, eum tiru partium 180; Hypare meton,
cum licu parcium 120; Here diercuomenon,
cum litu parrium 00; Nece hyperbolaon, cum
Licu parcium 60; Ouique tonum diazeueticum
continent duo loni stances, cum sicu unde Hc
hicium dictarum diltantiarum, sive eo l0c0
CiaP. 15.
In 51od ECdV P X proipcor n de FCdr peo cev 
n, rn 5a0 FCdV B H peoipcov H dE Vn It 
qdo supponitur sicus Solis, aliutre Rellarum escores Ddoygos, En oder n dexn rar cienpE
crratiearum, a quo disjunsuntur, in vtralque  , nTOI CV Cd TOTCO Vociny n =5a
eneuli parces, diltantiarum mentura.
sorati et habe at  udtet y dE ryt
TCoV rEeBonajor; tn 5404  FCOV E uoipcet
oi dE o Ia OV DEIEXEVTES 2OVOV LoV
ors 2os iNiov n a o VOS TCoV CNacoCN
asipcor, e oi daevrruor.  d nonsor, ra rcor Sldsdsecot pete d.
ei AP. XV
Duomodo, per numeros, suman. TIcos ar nauhavono, 29 e a et
tur, suorum cujusque motuum
rationes.
IS ita se habentibus: Tetragoni distan.
L cix numerus, 90, Tumptus incermedius
inter parces 120, (numerum distantix Tri
SOni,) et parces 60, (Hexagoni,) bina facier
racionum incerralla; selquialterius, ee selqui
cerrix: ad similicudinem, in FTarmonia, dua-
rum primarum Consonantiarum; Dia pente, et
Dia cectaron. Ouemadmodum autem, in Mu-
lica, hae duae primx Consonantix, Dia pente
e Dia reclaron, compotirx, Faciune Dia pason
Onilonum: Similiter, hic, dictarum duarum ra
cionum intervalla, compotica, se squialterius ni-
mirum ee selquitertia, Facient rarionem du-
plam, Dia palon Unitono congruentem. Fil
dem autem comparatus, torius Circuli nume-
rus, parcium 360, Faciet quidem, ad 90, xa-
cionem quadruplam; congruentem, in Musica,
pertecto Systemari DiFdia Pason. Sed ec alio
item modo, ex iptis Zodiaci lignis, siquis id
animadvertat, similem inveniac analogiam:
Ouippe, partes 120, quatuor lignorum incer-
rallum concinent; 00, trium; et 60, duorum:
EX quibus ternarius (medio loco politus) ta-
Etus ad quaternarium terminus Lubleguens, xa
tionem etticit selquitertiam; atque, ad bina.
rium antecedens, rationem effieit sesquialte
ram; (ex quibus ucrilque componitur racio
dupla, nimirum quaternarii ad binarium;) cui
icidem comparatus L2 Signorum numerus, (10.
u, (d tV onelcor nunoccer
20701.
Ourcor) SrCS exerTCV o D rxCaYCOIIHS
2)aSaocOS ae, DuoS, 3 = , pEOOS Xy
DBcis TCOV T PH uorecor  3 2817CorZ 7) 45 aoECO5.
CC Ent rcev Z, D  S et aycors, noinod duo N
Squa 9. Norcor, B re juuionis, n 8 Sreirs nab
ouotern (a Fcv D apuortas dVO NGCTCOY OVLDCOVICO
 TE A)a HeVE, CC ~ Na TEOSapCOV. SOECdE
exi d psorns, avr ai duo necr ovpDcoriat
n re D) à erre CC n 2)a TapcoV, ouvn dedvat
o1SOT ∞ D)9 naocor ouo DcovoV 8TC, n, evrav)a
ra Fcer cipnudicor dio noycor Dasuala ouvri-
Depdua, 28re iuronis dunadn i 28 Sareirs,
noinoor Y dhonaoro nogiv, 2 20 24 Xaocov
d ouoDcerco areNogor Fm DEpo O 3 FBTOIS, n
OTCr S ONS WVHNS FE psipcoV a euoS, no1od
coegs Y Z, Y rerE a coNaorer NogoV, 7 reo dis 29
XaScoVE D BOINS TENCS oVSqa ava Nogor
Kat nab Érepor 2V, e aTC C TCV FS(C-
Haus dcdenamuoeor, epot ls ay is quoiar
avaNoriar SIONONCr at qd PR porea TENSa
pcor dcodenauBeiCOV en C XSO2 2IaSqua ai dE
E. Terdr at de E, duo cor o Y necd 
ueoos, es idio Y d ccobroS ZodvoS,
notei Y enire1roV Negor Woe5 de Y B coeino
205 3wo O, noiei Y ipuronior nezor et con a
rius nimirum ambitus circularis,) taciet qui. Doripcor o dconaoros  suyuera neges, 28 d
dem numerus hic ad 2, racionem quacruplam;
prout exisir, in Mulica, Syctema pertectum
Dif dia Paton. Fandem rero, quando tigu
ras mulcangulas, nimirum criangulas, quadran.
Pnus oed5 F B. ois e DEpo O X 0 xcov 1β
Ecodicor aeuoS, D oAnS XVHNnS coeudS, nonod
n avriS, nEOS Y Y, Y TETEa CONaorOV Nogov, na
ra rlus opanouilio a2g 8diar 2od dis 219. n a-
sulas, e sexangulas, jam considerarimus; sior eri rod ris pSOInS Tenets ovs 
Eei ge pleo nohoycorcor curnadnede, recrcrcor dynadi. in rereaycorcor, i iEarcorcor quarcor
eirero
AB. nd. g F. ai 3. r V. raor. C AP. 45. a V. Z. mendole. BG1O. rois. 5 V. d’ini. CF deest in
a RVF. - rar. e C1O. deest X.
fF. 8. S CF. x h. h Cil. dee privos. i ABY. deest noret un coeoro  
rop.  C F. ourgurus. L 3IC O. reliquis deelt8