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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 290, page id 867984570:0318
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290
quae rationem duplam proxime diridunc) Sel-
qui alteram (quae cs, quam sclqui terria, in ra-
tione selqui octara, major) ipli Dia pente; et
Selqui tertiam (qux est, in ratione selqui octa
ra, minor quam Selqui altera) ipsi Dia tclla
ron. Racionum iraque luper- parcicularium, ee l0-
norum Consonorum, Primarii, hi lunt. Secun-
darii vero consoni, erane, qui ex dictis hilce
contonis (Dia pente d Dia Tellaron) Pune cum
Unilonis compoturi; conficientes cum Dia. pente
ee dia palon consonum, cum consonum Dia-
cestaron ex dia. pason: e liqui funt plures Vni
Toni cum his compolici. Applicentur urique he
cum Dia pason compolici, racionibus compoli-
eis ex dupla et iplam quam proxime bilecanci
bus. Consonum isitur Dia pason et dia pente,
ohVFCoV Y dE Naor Noyo = pEV HutNtOV, pEIC OVe
applicabitur rationi criplae. Illam enim constiruit
Selqui alcera, 3 _ 2; altumatur duplus ipfus 3,
nempe 6. (puta 6. 3. 2.) Fxtremi isieur numerr
682, crunt in ratione cripla; compoliti ex du-
ola de selqui alcera. Sin priori loco ponas Selqui
alteram, et Tubjunsas Duplam: idem ipsum pro-
dibic in terminis extremis. Sumatur enim ratio
dupla, in numeris 6 et 3; ee altumatur se squi-
altera, 6 e d. (nempe 3. 6. 9.) Krie igieur
extremus 9, extremi reliqui 3, in ratione cripla
compolica ex selqui aliera dt dupla. 3 xZ =7X.
3. Contonum igicur Dia palon e dia- pente
ob hanc caulam, accommodabitur rationi Pri
Pla. Sed Dia pason d dia tellaron, non pari
ter accommodari potelt, vel rationi mulcipla,
vel super-parciculari; sed Cuper- parcienti, quam
racionem habet numerus ad numerum; nemDC
8 ad 3. Cum enim Cr ratio sesqui terria, uE 4
2d 3; e racio dupla, in 8 ec 4: (puta 8. 4. 3.)
extremi 8 e 3, crunt in ratione Luper Parciente
compolica ex dupla ee Pesqui cerria. Sin priort
loco polueris selqui terriam, e lubjungas du-
plam; id iplum prodibie. Sumatur enim dupla,
6ad 3; d altumacur lesqui terria, 8 ad6; (pu
2a8. 6. 3.) Crune icerum extremi in ratione lu-
Per Parcience, quam habet numerus, 8 ad 3
quae componitur ex se lqui tertia et dupla. 3X
=ZX 3 =5. Si isitur, inquit, ca dispolicio (Py.
thaeoreorum) ex eo pendebat, quod OpOrECFCE
Cionsona, aut esse in rationibus mulciplis, aue
super particularibus; non item in Tuper Par-
tiencibus: non oporreret admitrere hanc com-
policionem, uc Consonam. Cum aurem ipse
(Ptolemaens) hoc non suppoluerit; non de
bec, inquie concurbari, quod hoc consonun
non Cic vel super parrieulare vel mulciplum.
ad aequaltatem actcumt, quae ipsam com
ponunt, habentes excessus commensura
biles: nimirum supet parricularium mi
nores. Post autem Consonos, dienitate
proximi sunt Concinni; ut Tonus, e
quol aot al oponuns Consonantiarunt
Ovp DCONCOI, noceV, et MM Y et Bn WNCOV YBTCOV0b
veov 28 dio HEvre, , 78 di3.  cor 1G F opb
PErcor, oreDEVTES ni D NTOTENED EVTES ZO X Otda
HEvrE CC dios Auocur supDcovOV B X, 3  N WV X rE O
re0aecor  dia HaO CV SVpLPCVV NaV CoR etS eter
ei ous Dcorot F8701S ouvDEdvOI. Ha CaBa NEd
oar roi ruv, oi red diee arcor ocr n Dexdvos, 5015 CM
23 dconaois  F E775~ D) 1eSVECOV aurov ouv
Depdvois negots Z0 _d SV dia rascor n dia nevrt
upDcVOV, EoDgCAGHOETI ZW TGLENaOO Noya
78T0V qd i pisno o ijpioNtO, o Y nai o β, xai
2C0od NnDBc co) a0 O 287, 05 Oi C aupo
i B, ev TStCoNacO Noyco Eoerray ooyneudvot
Cx r8 dconaSIS i, ijutoNIS Kav cesys de r
jtoNer, 0y5 de Y dcNaoro ∞ avro eM
rcr anecor dobjoer FiN DDc ja dnao
Ney O es deduors S 5 nai y par vego
AyD da o uuion. B, o G y  d. O à eg are 
78 d, 28EB axp rX Y, re1 on aois est, ovy-
nede  es qusonie n rschoosis T0 pd Sr
dia ascor xat d Nerr obuOcore, cia raoru
s ainar, cd DabNy Hoca ZC rim NasW 20
de dia nscor i, dho TEOSapCor, noMaX Nasico pd
n cpcoetco Norco,  Dabaneir XX oiev re S
poceet de, n ou deuds neoS de uor ’exe Norov
on nEoS Y Y. EnEt gap Direrros dv, 0 d 28Y
dix naor O de, o n 23 d. oi axeot o n  o y et
Sepei Noyco Eoor) ocode en 2S cxNa-
ois i BreITS Kar WegrEnS Y SOV, L2
2aEn5 dE Y dexnaoror Y avro dobhorrai Ei
NnDBco gap dmnas. B, 05 28 Y. nat oegod
NnDBCo O EnES1TOS, 285 on  NWW EV oi axpOt eV
Dpepei Noyce decopn duoor) du o n ext reos 2Y.
ovyxauco ex 28 CnreirS nat 28 dxnasis.
Et od Eri dharahiS, DnsiV, Horuro, ex r8 d eir
a suuDcora eo roaNasioi y duoejos No-
3015 civa, pennen de n ev Ducecoir Cdn Ede
esiedas i rolaur ocodeoir cos ouucoror.
ENEI Sd EV ZOISTOV WeginOnerrai ou dei Oyon
doscoiadas X ToISTOV obuPcroV, e pon Ppo
etov n noMa Naoior eriv.
POR P HYR B
Post rationem vero sesqui terriam; proxime
ovrae 16 Shnreirs enoydoco, 2ce L Hevri Y de
Buirerror, En à Dova ovrae S jpetoNIS EhO Yco
2co D)9 ZEOSCpCOV HIpC Tot pdo ZV XopoCOMde 
res nai opt oo So Lrepot de Tcr
e 2715 de. les  ehcetie novor rwocr aes
oc  1002105, oi owondErrES aurdv eV
OV HEFB CEdEEOX C1S, T8reSW Oi eM ar
1T85 aVF CV F Espoe icor Mera de T85 ou
DcVBS, EXOpEVOt, XaF aperluo, Oi EppIENES
Oior o rovos, i doos ouvridea  es axisir
EME. decs C mina = orjuparor. B PrOY, rEDONOB. i PrO ixb. repono ix.  PrO onondiins reDonOOcn De
adom k Pxo ournmptir, repono ovrnecedia. LMF. in sed D. et
m MTaMI
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es pEor
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