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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 273, page id 867984570:0301
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GONME NT A RIVS.
Eov Xoisqua dis ouvroder, X ’oNon noin nma
Ta i o B co3 Y d. Ka1 E5co0 dS y noMa
XNao B. aenpis, a) Y B 8 y noMaN Naorr et
rai Eret gd d. d S y noMa NeoS est pret
aeqo Y dF d. Epa)o ae en car cooir
axoi avd zr irvooou, o y recoros t Égaro
uececi nai V pera Eo perenod Merset oeq
Y Y B noaNas, O àeq o B8
2)aSqaroS B pE005, 3r e15, 37
NEISS, ava NoroV EunEOSIN d Bu3S. F5C qd M
2. Si diastema, bis compositum, eorum Faciat
mulciplum; etiam iptum erit mussprun. Ll
Diactema BC; Fiacque, ut C ad B, sic B 2d
D; licque D iplius C mulciplus. Dico; EEB
iplius C mulciplum esse. Cum enim D CC ip.
lius C multiplus; ergo C meritur D. Didiei
mus autem, (seu ex mathesi novimus) quod
li numeri line continue proportionales quocli-
bec, primusque ulcimum meciatur; etiam inter-
medios metietur. Mecitur isitur C iptum B.
Mulciplus igitur est B ipGuS C.
3. Dialtematis Cuper. Parricularis, mecus 
Portionalis neque unus, neque plures, intel-
cedit numerus. Elto ensu apet patceate
onaoroV C avro noM a. CoMCDION EGCL. F5CO ∞45
Empoe
pure cor Neesq po. ~ B y. ENoXot  et to abns
a ∞BY Ka) 30 C, 105 0 Y e5 2 β,
Mlalcema De, mte, i eadem cum B C.
Movad O porS, MLCTSVTI, KOIS EIES ACNOr
oor ECd d Y QC. Lat CEt SMe. 3 6dZ8
n cepox n dE, nover puered 18d6, 29 25 d
6. d. pecoo odbos a s dpicr, S idi
ZJaEda OnEp a duVa ToV. OVX SC EAEOEr
ava Noger Eu88L 2098701 H9) E15 285 auro
Rezor ExerraS avaNoo euncocirai OudEis dE Eis
5 85, d EHUAEOEITI, Cont 8dEE15 8D 
NEDEVT.
cNOV, STE NOMOT NaSION EGc, ZTE DUSCLOV E5
3aee ciaesmpa pon nd Lb H Ket, 5 D Y
3 2cndco, 105 o Y 1505 F
2505  d. ACYC 8ZC5
3 nMan nasi, Se Sapise
Esiv. E5C0 gu  M  toV 0 dTB y noN
NaNavIOS OinSr epau o carchasqua di
ocvreDer, P oNOV HOIn HOM C. N Kactor, L a 1o estoN
XaTNaSIOV ESC aea o B τS Y HoMan NaSIE
oou qu de aduvaro de ld1y mnoma
NastoV. AMa pleo 3d E entusC LoV L. Ap  sut
ZlaSiuaroS pEoOS SdEIS MZOV EpAIet LIS d
manNasiON, n’emues et Eiraj dne ed et deiGa.
NaXNestOV SdE av ro Est noMaX NastOV. E5Co 
cias qua  X BY i reonco, co5 o Y reos F B
oB n505 Y d (C pn E5c00 d 58Y noI am NasioS
AEyCo, d 3dEd B rB Y noMaN Neo1S Escj EI 
ClDeco. Lac lit a.  e eet 2lloL
du est de Oin deq o B r 3 Y ecc noMma Ncoros. mulciplus.
Noyco 2o5 ( V Es or od(C 0 S OvTot SV Vno ratiOne, LunEO DF _ FI. EIi iBitur, per COlanE
d
UnITATCM, UE CONMUNEI MEN TUIFAI, IEN TUTANEUE
Auter, ipsi TI aequalem, VE. Canque BIE DF
Super- particularis ipsius FI; excellis DF, elt
communis mensura ipsorum DF _E LI. Fst iBi
Eur DF. unitas. Non incercedit ixicur iplis DF
e II medius proportionatis ullus. Foret enim
S8 Enacor, 28dEd ueil cor  n porada incercedens ille, minor quam DV, led major
e15 Y d6, d, 600153 00t 66 bt3 165 CMa X1385,
quam HI; adeoque dirideretur Vnicas, quod tieri
non porest. Non isitur ullus incidic inter DF
e II. Ouoc aurem, incer minimos, incidunt
concinue proporcionales; cocidem es, inter can-
dem rationem habentes, incidene. NulluS au
tem inter DF d HI incic, adeogue se us
incidet inter BC.
4. Si diastema non mulciplum, bis compona
tur; corum, neque mulciplum eric, neque luver-
particulare. F.sto enim aIalteMa HOn-
mulciptum BC, e Hac, Ut C ad B.
lic B ad D. DicoHC; F. A D iptuS
MOvaS aCq i d, E. OUK CG ELNCOErT e15 20V5
Ear chasqua un roMaXNasior dis ouvredu x
0dr3.
parcicularis. Elto enim, primo, 
Cy neque mulciplus, neque Luper.
Far dhes pl B olvTE SEr, P CNet  Holn HoN-
plum; etiam ipsum CIL MMMTOLUMI. KFIL iBitur B
ipsius C mulciplus. Ac non elt. Lpobile ißi.
cur est ut lit D spus CMcpus. Sed neque cl
ciastema luper. parcicutate. Baltemaris enim Lu-
Der Particularis, nuu Melcedie medius termi
nus proportionalis. Ac imel DCM B.
Impossibile igitur est uc  De ret ipus Vet
5. Si dialtema, bis componu o HOI
faciat muluplum; ee peu en pm.
Fcto enim diastema BC; tiacque, ut C ad B,
sic B ad D; licque D iptius C non mulciplus.
D: Co; quoe eque erir B ipttus C Masp
ipsius C. mulciplus. Cuin octendimus, quod, 1
diastema, bis compolicum, corum Faciac mulei
Tuper. particularis: ad aM
285dY Eunine o B aouarot deg  Y.
n noDRa. X NadH, cha) dd 1dY hoMaNNaS O
Si enim mulciplus (I, essec d D iplius C mul.
6. Dia
d ProD repONOJ: CMF. 3 dex. FMF. rS F. 8 PrO pon repONO plods, propter iumoriny quod sequicur
vdetut.
BPrOD, rEPOHOD,. IME. r. LMIF. +. Sed D. in nempe Aesnus. LSuppleo von in d, quod exeidisse