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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 322, page id 867984570:0350
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Simam. sextam; Cumo rurtus maxi.
am communem menturam iplo
rum 2370 et 276, qui et numerus
46; quem in 230 mulciplico, d
Hc 206260. Ouo invento, exteri
manitesti lune, prout seripeum elt.
Partem terriam iplorum 106260,
nempe 35420, si ipsis addidero, HE,
9240
1662601.
35420
erium cerrachordorum, excremorum 141680
major, 241680. Reque in ca ra.
tione, primum cecrachordum 368, 360, 345, 2.76
reducetur ad 242680, 138600, 132825, 106260
Secundum, 140, 135, 726, 205; ad 241680.
236620, 127512, 106260. Terrium, 88, 84,
17,66; ad F42680, 135240, 123970, 106260.
a Ouantum autem ad ea genera quae Spis-
ac sum non habent, cum praedefinitis consen-
ac paneum sit: FC Sic deinceps ad tinem
ae usque deseriptionum.
Cum racio sesqui cercia (ut demonstraverat)
compolica lit ex lesqui quarta et sesqui decima
quinca, 2) 3 (15; necesse elt ut, in Diatonico
rum divitione, rationem minorem loco praece
denei actribuamus, hoc clt, acuristimo: 9u0
niam minores numeri praecedunt; co quod Sc
quens diridendus sic in duos, Praecedente ma-
jores, (contra quam in habencibus Spiltum
llacuerat.) Nempe, rationem selqui decimam
quincam loco praecedenti astignar; et selqui
quarcam in duas sequences dividic. Expolicis
isicur numeris 5 8 4, hos criplicat; tiuncque
22 e 15. Hlorumque incermedii (cum ditte-
renciis aequalibus) incercedunt T4 et 13. AL13
non tacie, cum ucroque extremo, rationem lu-
per particularem: Sed r4 tacie ad 25, racionem
Lesqui decimam quartam; ec, 2d 12, lelqui lex
eam. Si aurem in uerovis diallematum llacua
mus rationem sesquilextam, absurdum seque.
cur. Tnucilis enim erie ucraque racionum le-
quentium, selqui decima quarca d lelqui sex-
ca. Major enim elt quam (pracedens) sel.
qui decima quinca. (Adeoque sequens ratio.
praeccdence major.) Conspicietur aurem (in
numeris primis) in 45, 48, 56, 60. In his igi
cur cerrachordis, ratio lelqui sexta medium ta-
cit diastema; reliquaque, selqui decima quarta,
NI. 58E.
LF∞ dE T anourcov DcoV, an0) 3d3 7015 
at duoe po1diioiS ovros nat ra eEns axes 
1c 185 Y naraze a Dcov.
Enet dr extreiros negos, nadios anedcit.
ouync ex S BerPES, _ 28 Snerrna
dexers ararnaior de EsW, ev r FCV Z) g7OVI-
nciv 3)aipEod, 2 Y EA a Tova Negor GOS rC 78
adico ZCOSCNV, 78725I TW eVraTC FNet ot en a 2)o-
res deuo nY Srrai neos x CSV duo, a epdoS,
ue Covas Craj r8 iYS1 X, ava NW 7015 Éx802
∞ nOXvor, Erahe Tov idu d e ev rio ryoiduco
= de ea d craipei eis duo cv Eropduss. ExdE
1d O SV Y E nai Y d. rernaor e aV
Xat Zvorr o E +β nat o 1C ZSTCOV poot ev
Joc5 LdEpOXaIS XISoI, d 1d i 1Y nad o
edio 1Y 3 noICI nEOS Excr EpOV FCV axpcoV, Ppis
pcor reger o de 1d reos d Y 1E, noic Y em
1d Nezor neos de 2 +B, Y Em 5. KaI EaV ru
Ecopd er onoripco ZV F 2asquarcor Y Es tENToV N-
Zov, a ronov ovpCoErai a XonSOS y) Exare  
Ergediicor Noy O, d r Em 1d (C O EHIENTOS Me
Ecor gap Est 28 1781d8, 28rESt 8 em 1e Ogd
Eroidi O Nog05, 28 1781d_ uet  cor esaj Oeco-
Pnioe de Er recorois dxiuois, ev ZE ZW E,
Naet p H, Xat V5, Nat E. EV τ87015 Wdv 8V 2015
rer C∞XdoS, o Em s∞ peor noui D)aSqua
est loci sequentis; eltque major quam (l0- xat o noimS, o Ent id, r8 Eropds nat est
ei praecedentis) sesqui decima quinta. In IIlo
autem setrachorao nUMETOTUM 1O5, T12, 120,
240; ratio selqui sexta tacie dialtema seguens;
ee sesqui decima quarca, medium. Numerique
lic constitmuneur. Cum numerusz partem ha
beac decimam quintam, parcemque cerriam; (quo
hujus Telqui decimus quineus lit nuIerUS me
dius; _, extremus, selquI TerEiUS;) primusque
pei cor 28 1X1d8, rZ Ext 1. Er de XC TiV
eE, P+B, PX, P_ d ido EXI 5, ∞ Errocduor
notei 2)∞5ua o de Ex1 1d, ∞ pEoor. Kat out
ccerray oi de uor 3rC0S. Cnddu X reiu exe i
qi’na avre adi Ext  Dvery a pos del-
Quos Exirpir D de d aup  exu derorO ne
70 o 15 on Exa TelroV E, nat 1 er 28-
hoc habeaE nuMerHS 15, (quia partem CErTaM TB EHL 1E ZVEry o 15 O eNco de avro cxe X
mabet 5, ee decimam quintam L;) hujus sel. Ext 1d. ve d EEys aurs deuos.  Ex11d.
qui decimus guineus elL 26. Volo aucem ut ha-
beac etiam parrem decimam quarcam, (quo numerus huie proximus, sic hujus sesqui decimus
2.1FC
322
2310
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voV pET CGV 18 BY 1, _, 7B605, o Est p3
noma cO) AOIBC Cd EHI L L 6, t Haetas  tl.
55E deid udh Ou EveEDEr (, 3G oi NoiOI dn 0
Etot, Xa Scb reca LdTC, TOV F MI. 5∞E, H
vopdvor MY. EVN, Cat oecadc avrois, Z1VE)
pci cor, MId. ∞ X H, F = plcoY TEZ CG XOpd caV Laj EV
r avrid nerco  4XoCdO, E1
E, T pb E 5.05 o C95MId. _ X N, MIY. AX
MIY. BcoH e, B. 5OE TOdEdEVTEPOV, Pp, PN
PH5, eE coC93 H. a X H, M17. 5 X H, HI16.
C∞ 1B, . 58E L0dETCITOV, X 1, H 8, 6
E5 XG0S 1110. et L H, Y. 28 pu, 111. Y36
13060
douDDICd fri n. 1L1O m 14. 1eBOlB ent 10
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