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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)
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C. OM ML N F A A 10V.
1oor cioir eivea 7o15 Y. 0 a e , 1005 E3t F Y, aequales SunE norem C. EIL igieut A, a qualiS
ipsi C ejusque parti octarae. F. HE ergo A iptius
C Tesqui. Octarus.
a A 26, 2144 (E
372708
B B 29, 4022
3,6664
YC 33, T776
4, T472
D 373 324
4, 665C
F. 4.5, 9904
5, 2488
F 47, 2392
5, 9040
C53, 244
10. Sex dialtemata selqui oet.
va majora lune Diastemata, quam
unum duplum. P. StO enim gu-
merus quis A; ipliusque A, se(
qui octarus B; ipliusque B, seF-
qui octarus C; ipliusqire C, let-
qui octarus D: ipliusque D
sesqui octarus F; ipEuIque F
sesqui octarus F; ip (u (que F, Sel-
qui octarus C. Dico, quod Ci ell
ipsus A, major quam dupluIs. Di
meros selqui octaros; Atque in-
venti TuntO A B C D E F G.
EAgue A, 26, 2244. B ret,
29, 4912. EF C, 33, 1770. D
3733248. L, 4F, 9904. P, 47
2302. (, 53, 144F. EAque C
iplius A, plusquam duplus.
FF. Dia. pason est dialtema IMUII-
ciplum. Esto enim Necc hyperbolaon A; &
Mele, B; Prollambanomenos, C. KrSO AC
diastema (cum Sic DiF dia. Pa(On)
Consonum est. Adeoque vel lu-
Tuper parciculare non elt. Nam
diastematis super- parcicularis, nul-
lus incercedie terminus medius
proportionalis. Fst Pergo Diastema mulciplum.
Cum isicur diastemata duo AB BC compotiia,
tocum Faciant mulciplum; clt ergo et AB mut.
ciplum.
T2. Dia tellaron dialtema, e Dia Pente, elt
utrumque super particulare. Fcto enim Nete-
Tynemmenon A; e Mele, B; d
nai re erdico aird d ape a 28 y esiv cnoy.
806.
a Z enoydoa Mlasiuaa pei ova
Est H)asqua a Evos drconaoiS. E5W gue
lis deduos o a nais pdi a eroydoos
25co o B 28 dE β, enoydo(6 o y. 78
Y, Cn7d0050 d. 28de d, envydo0
E. & deE
Eno
Enoyd005 d n Neyco, ort o n, 28 a pet
Ccor esir n dix néors. Eua ou de Eno
deuss enordoss nabcr Am n cipi-
Dcrouer oi a
n. Kai 2t
ve) o pd a pvecades _5, Bp  d. 0 de
B, _ d pverades dD1 β. o de Y, pa-
erades XV, a 105 0do d, uverades
NC. Y0 Un odE EuvadESua, X8
o de 3, u C prprades BFZB o de n
vy pevetades av a C ési o n 7S a
pi cor in dhonaor.
F0 D)a MaScor X)a Sqa Est HoMa
oNcorr. E5cnd vin pti l’epbonaicor o a
de o B enabarvoS deoy
2a5qua, dis Da arcor ov est ouu
Dcovor nrot SV EMpoCtOV EGW, n noN
Naconaoror Empcopior edto 3r Con
Esiv. Empoeis id 3)asquaSue
005 Sdcis avanogor Éposinter. HoMa
x aeq
rondoror apa E5W Enet SV Xasquar duo a B
B7 ocreDerrae, noiet ro noM a WoNaorer x óNor
x a B aapa Esi na coNetoreV.
T0 3)a reosepcor 3) a5qua, X, X 3) e NEVTE
EHATEBOV EVOPIOV ESI. ESCo gap vm pdu occonu
edicor o a peon de o B a
d607. x apa  a Y 2) 45 qua, di5
2)9 Tscpcov, Est dia Dcovor Oun
apa Est HOMCT NaSIOV Enei 3V duc
Xa5a 10c, a aB BY, ouv-
rdErra, un noiei nMannasr nai Est ouu
vor EmpoptOV apai H aurn de dodeiZIS n Em F
do HEVTE.
iyros At Nai EGW, n pi Cor n dexnasr am
Enet Ed cicapdo x dex nasior chasnua ex duo rcor
urziscor Empoeicor oornendvor sise ei ésayx da
scor pE C or d NaSIS, S ooyNeVE) ex duo porco
EMDCICOV, aM EK XNctorcV ZVyNCI) de ex duo
ouPcercor NaSquarcr Ex 3 dia nerre i, ex r8 autem ex duobus consonis Dialtematis, nempe
dia rosapcor =cn àpa ésc X dha cov, uet
DINASIV CK F pEZIS COVEm IOC IcoV dVO OUDES HHE.
picon
a7
dicimus aurem lumete leprem nu-
per parciculare, vel mulciplum. AL
Non est isitur mulciplum. Cunt
isicur duo diastemata aequalia, AB
Fypate meson, C. F. A ergo diacte-
ma AC, DIC. dia tellaron, dissonum
eAtque utrumque consonum; clt igieur (Dia-
tessaron) Cuper. parciculare. Pademque elt de
monstratio de Dia. pente.
23. Diastema Dia paton, est duplum. C
De vel duplum est, vel majus quam duplum. Sed
cum demonstrarimus, dialtema duplum, esse ex
duobus maximis super particularibus composi.
tum; Si ergo (ic Dia. Palon systema majus quam
duplum, non erit ex duobus tolis luper partieula-
ribus compolicum, sed ex pluribus. Componitur
Dia pente ee Dia tellaron. Non isitur erit Dia. 1-
Con dialtema, majus quam duplum. Duplum igitur.
TodE da ascor cies qua, est dtX Nas tor OonSI
Tor 28 dexnadi AIX Masior ced.
AM Endn X dia HaSIV ESI OIH NastOV Y de
BC, composica, totum non faciane mulciplum;
24. Sed cum Dia pason sic duplum; duplum
aurem constet ex dues al PLL. PATLICU.
laribus;
SME. puit
quente vocali
rad iE inordom asesiuar. F SupplCO dtit. H PTO H rePOnO aY. X PrO i repOnO vou, se
02
ero