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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 314, page id 867984570:0342
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LOR PATKLI
28, (seu per 28 divisibilem; ) ut conat La eicor apuor ira qn rlui napvrs nai x ciro-
28; licgue lepeles quatuor: Sepcies ergo tact.
(Nete) 3, Hc 2F. Frir isitur Llypace 28; Pars
Date 27; e Flypare melon, 21; ut habeat 28 a0
2 F rationem selqui- tertiam. Cum igitur oporteat
(secundum ArchyEX sententiam) Parypaten ad
Lichanon, in genere Fnarmonio, rationem lacere
Tequi erigCMMa. guinca. Ique 36 primuS
numerus qui faciat selqui criselimam. quintan
rationem: Oportet isitur numerum 27, in alium
ductum, habere parrem eriselimam (extam. Oua
tex aucem Mcpicalo, habet parrem crigeli-
mam. (extat (27 X 4 = 108 = 30X3.) SI
ManEuE etsO quater cra, c MeII
212, 108, 84. FIque, Telqui crisel u
cus, numerus 108, numeri 105. Nam WE 36
ad 35, lic 108 ad 105. Lirit e8, lella
core LMarmonii numeri L12, 100, 103, 6+
Icerunteue; cum oporteat, lecundum Archyia
sencenciam, Paryparen Lichani, in senere Dia
conico, elle selquiSeprimam: OpOrtet ergo 108
parrem habere octaram, (cum lic P’arypales
numetc,) uc tiac Lichani sesqui sepcimus. F.L
quidem, e lumpeus, habebie pariem OclaraM.
(108X 2 = 276 = 8 X27.) Crunc isitur, in
genere Dhaconico, (bis lumpris omntolis humeris
ante expolicio,) Flypate hypaton, 224; l’arypare,
276; Lachanos aurem, Lnarmonia quidem, 210
Diatonsed vero, 289. Nam ut 8 ad 7, lic 216
2d 189; cujus selqui Sepcimus Ct 216. Ol
TInE, generis LMaFOMI, MCIL L24, 216, 21
268. BalotiCi vero, 224, 216, 189, 168.
Rursus; cum, secundum archyca sencenciam,
Lichranus Maconielus de Llehanon Chromaris,
rationem taciat 243 de 256: Oportet adhuc nu-
merum 100, in numetu aliquem ductum, na-
bere parcem a 243 denommatat 1el fel 243
dividi. Nories aurem Lumplls 103, aell L)1,
habentem parcem 2 243 denominalat, Het.
DC 7. Sepries isi luplo 25B, Habeomus
numeru 1792, quae M Lteanos MMomatica.
Consequemet , C Hores acto  103
oportet reliquos Mucios lores racete, e
De neneros Hypates hypaton, et lalspales, 
Aypates meson. Lrie isitur Hlypare hypaton,
in linsulss cium generum, 2010, Lalspale
vero, 2944; Elque Cacte  Mibus cxibu
generious. Sed Llehanos syPacon, in Plarmo.
nia, 109O; in CAROMALE, 2792; In DIaIONO.
L7OC. FC Fypace melon, in crium senetu M
SulIS, 25T2. Ouem ab sque demonstratione, LI
Pi Pcolemaeus; Stancem, _e recinentem ad 2016
rationem selqui tertiam. Subleripta auret ha
becur corundem numerorum expolitio, sic se
obdoor avris. cos eiras Baporépar ru cinoedel
dopco.  Lar  naevns En 3r da
 vrarum extr Xn Kay est rosa e EManS
EmanS apa Zwodn By, N a EsCyZV n du unum
H n, n ) aeom X C. n) raME pcor N a
iva o Xn C95 Y X a Y SireiToV ’Éxn Negor
ExEt SV det ZWI apVar F XeXarS, nara rl
APXOTS doGaV. Nar X crapporior, noieir S NE
Negor  necoros de o X5 noici  dNé négor det
aeq FXC. ex cmor Quoudvor, exd N5 r
Nis de qodvos, 19d A5. Marra a e antS
nai zvor) ei deBuot e+ B, Pn, =d. Kai x d
ne, o Pn 7B eE 125 gd A5 ced5 N e, 3TCS en
co295 PE. FooV) aeq r8 crapuris rrea Xoed8,
ei axibo P+B, En. PE,  d. Hanv enddn
dei, nara rw APZVES dezar,  napo arlu 
XXarS, er ZE XarovNc Quc, DESd quor cirai
du aea ren oydoor exd, debuor orra D rap
rarus iva Vion) DebdouoS F NIXarS A15 qu
id , 14dn. EGC ae, et T ) groVINC v
rarrcor dis qoudicor Y coCgENTEDeVECON deiBucor.
n edi rdaM LaTCV, SHd n de raevram.
515 n de  nxaioS, n edi crappor. , 5
n dE N arorH, P X d. s5 id n Wes Z, YrcS
015 nEoS CX d, S lo Sd o 6 00 15 id5
Evas 28 eraeuors apibuSS, 5X d, 515, 51, PE n
28 dE Warorns 5xd, 515, E d, EEn. Ha
NV  Exe de, Nar rI ApXVT S doZav, u N1
XavoV 28 DarorIMS, n5OS is 28 ZCcoaTS N
ZaVOV, Negov EXCV Y ECV O MY, nEOS ra 5V5
dei ert Y P X d, eri rva deibuor Quodvor. Excr
ouY NED, n anacv D4 26 u V ervea
nis de quou O o e n d noiei r a  a, pé 6
Exorra quY Y Q. EMaNIS aeq rolOUVES 2
515, Eo ebpr  GB, orra N1X aror Xoco-
uanuleo AxNSDCS deg, Eset recrrs regover d
ex d, de noio CV axibuSS ENEaKIS TEVX
 LaS LaTEV, na) Y D XapONaS, noI
Y D arnS pecor. PFGC) SV La  a
rcdv, Ex 2o15 58101 EOV, 0 β15 Maporam de
a D ud nai auru er 7oi5 2e101 EoI AIX avos
de aror et idi aeporia à coli er de Xoc
pan a Y LB et de Daroico, a Y a: Xram de
pEocor, a D1B, ev 5oi5 2102 a gevcor or Xcoei5
DerodeiGecoS ena beV o HTONEaIO, ESCoTa, Ny T
pErTa F EniXCITOY Negov, nEOS ra β1 5. Xnoyg
aj de nai n TBrcoV Y apibpcor endcors exou e
2C05. XEx O r8 1Y nepanais. AeXI r8 18
nEDaNaiS.
habens. Finis Decimi cerrii Capiris. Principium Capiris Decimi quarii.
314
ryparen ejusque parrem riselimam. seprimam: ut
grarior lic Fypace quam Parypate, in ratione
Telquirigesima. Seprima. Cumque IIypare habeat
TMC. ~1E. D. nras Z. ReDOnO riarac_ irninis. E Perperam hic scripeum erac 5. quod irrepsisse puco (ob
similicudinem licerarum) Dro P, _C un PrO XN. R ePOnO v Xa B M. Egdr. B. igd, sed D. EXH. 1 SicD.
CdMC.
Geror. k PrONer rCBONO es. Y PrO OB, rEPONO EIB. I PFO NXavn, FCPONO ZIX avoS. nt MP. ixedi. sed D. SC
etius inei dei.
SIC MF.
OPEO pr. reponO ors. P MC. arc. V. M. qD. Hoibit . WC at (e CC Hrocon. ) Iaum a