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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 11, page id 867984570:0039
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=39
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# Lines: 85 recognised, mean confidence 0.77
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10
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e
TI A R MI O NI CIORVM LIB. I.
Dia pason e dia pente 2 = 2
Discala pason L = 2 X.
F3123N
eaconaon
a drconao B chconaor 
Dia pason 2. Dia pason Z.
2
LdP. 5.
a dhronao  B iperoN 1O
Da pason 2.. Su pee 2.
Rogor ~ Y 7 oXrco 2e95 sa reja pero Shuo cllnmert Octonarii ad leraltum; qua neglle
etor evra, pre oAaCONCTOV. P FeQpc ElL Super. particulariS. neque Muluplex. L ncatL
Siu. pas o cca. s atB 3 = ZX 3.
Y diconao O)
a
SetrerroS nt
Dia pason Z. Dia. pente 3
eet oc. cesourvres, ius  ravror ircooi Nc5
dia erres Con aeq noM TNaour rd a Y ids
uoetor de ro da HEVTE. Rara n aura de
VerO
procedentes, eodem perveniun, 
modo. Ecto enim, inquiunes Dia pente Inter
vallum AB, acque huic deinceps alterum Dia
vente BC; adeoque AC, BIS Bia Pence: Cum-
que non contonum sic Bis Dia pence interral.
lum; ergo non est AC, in ratione mulcipla: ex-
50 nec AB, mulciplum, (guippe mulsiptum bis
sumptum, erit etiam mulsiptum.) Ac consonum
est. EH ergo (Dia- Dente) Superparciculare. L0-
demque modo, et Dia celtaron ostendunt esté
ESCo gaB, Paor, Ne NEvre, X a B  YSrC
EDCEy5 corpor D) et EVE, (X βγ E 1oGE 20 
ciras dis dia revre. Kai exci aruppcovor  dis
e 3dE ro a B noma con aosor ouupcoror de. M.
2G 20d Teo aecoV, duso isadet t
oV _ S Si EVTE. HaNWV esco Paoi dia
act, so aB i  2BTC EDCEnS ETECOV, d
BaOEV, Y BY Ei  a y rreadq dis di
ascor. L et rolvuu ouppcoror  est x ds dia
raocr so a Y aeg, nrot Bue O EsV, n noN
naconacror.  Cu Es Sueo  qd ar
dcinceps alterum B. BaIOI DC, alCOqu AC
Dis. dia pason. Cum itaque Coronum M Vit
dia palon intervallum; erit propterca AC, ret
Superparticulare, vel Mutciplum. AC non cst
Superparticulare; (quippe Superparticularibus
peoor S arassor evenente n aoeor esc Fo non incercesillet medium proportionale:) MuI
ay coGE (C TD aB, HOM aCNaoV. T0âeq did
racCOV,, Ma a Reox deoV) avros, en
28rcor, ot nat ro pdu dia rascr, drconaoror
encircor 3, 2d ad dia nerE, iuuioNoV 20 de
dia reoaeco SreITV. Er ei po, Y N
ciplum isicur eAt AC. Adeoque AB mulripl.
Mulciplum isicur, est Dia pason intervallum.
Obrium aurem est; ex his quidem, Dia Pason,
eHe Duplum: ex illis autem, tum Dia pente cAc
Selqui alterum; cum Dia rellaron sesquiterrium.
Ouoniam, incer mulciplas, sola ratio DupI2 Cx
NaTNadicor,  S dixnaoO negos, 0d duo duabus suverparricularibus componitur: eisque
Do r srC Y ueziSCV cos TE C E maximis: Adeoque quae ex binis aliis Superxar
adcor Suoe pcor duo ocon deus noyss. ar ticularibus componuntur rationes, crunt Dupla
rvas bavisaada  dixnaois  pendevos exarso minores; cum nulla ramen sit ratio mulcipla,
vo5 o 205 oman Naois,  dimnaois. Ka+ 8 20V8
do anonedcs, mrdos daxderros. pa
minor quam dupla. Irem cum (consequenter
ad BXeC) ostendatur, Toni racionem elle Sel
quioetaram; Toni semissem, oltendune, elle
incon-
C. decst r. 0 CIO. imir. PS.  nurcegr. g ABCDKV. Ecvirtv. r OIO. gnoi. s AB. tui pro nd vories
S. d
5te rd aer gieas dis ase navcor. d V. eri. C SV. est.
. deest aranozr. BOV. d. 2 8. ind. k C. deest o. 1
25 aevel 3075
ud
le; nemi
O1D. d.
Superparticulare; minus aurem quam Dia pente.
Porro, esto inguiunt AB Dia paton, acque huie
diroperson.