# Leibniz Legible — https://leibnizlegible.com
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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 335, page id 867984570:0363
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=363
# Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000363.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 101 lines, status machine
# Lines: 101 recognised, mean confidence 0.79
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

rcev BQC X n Kat i 39. s 15.
20o FCV n pB 3 X 1
BZ(C dC H) dha nascor nai dio a
d FCV n pe (C dE Opoicos n y da XaScoV n
dia nerre a nah, d TCV a 
ca na0C
ara no) avrn. d l
3 ror O nai avros axaE, undut
e MM MML. LLAL10D.
iorn, ino BF  LG.) Pc Dia pason icidem ter; (le
AnoIL auara Dnoi, nab a 103 1X85 oit Xop.
dat decodid Sow, dXS eior dgNove dEd Eda). E
ali KarCO Z Y d, nara Y∞ deco LaNVOa Ta
 nara x Maror isaaS, u a yBd no
Ta 6oV axp85 Pbez85 Flo pdi à Y opluo, u
DEBd aracos nat acos reperocdulo, nara 2
perabba opdvorer ranaycoOids vecdos
Naet ruo da XASCOV MEVZCOS OVDCoVaV, NaTO Y
dhconaoror Negor. 2un Detons dixa di arconco
3 aGc Wegenancopd) nar tonv En Y d, 
de ces daven  aycora pexe S E na
aercod  2015 oinciors exas 8 5 Noyos 
Vn narco Y d. cds nonocs ui y n nulodar d’onns
Y d. nas raorls drnaoiar excions nat dia 252
d EY reccao aoora voes aurus rn y n Kat
audis NaTO Y d, ios civas  r y d ijuroniar 
y d. var dia ravra naoer ) EY rLCN aoia
avris di ~ Yd. Kai adis noo, Erros +
noeas avrys psons D Y d, dus pdi ônlu Y
WoCe5 ris y n dconaor Ts de y d coees rus
nY Sretror Kaicha rev ropicor Xoed a 5  3g.N-
AyNSS Ty a Y rercopd nomoou Io FO pVHHA
mebvrae rcdv Xopdcov cosE MdEXED, TW TETC ~XCB
da Tavra ln Enass ress avane pon Eccy qu
o eto drconeior  noy ∞, ov Exc n Y d neos rlo
Yy ex duo TrCaXdcor nat roVINS enoyd03 O
 Sricetros Noye, ov ExY A5BS tud Yn.
etis AC et FD, iiem CM  LG, iiemque BF
e FIF.) Dia-pason vero ee dia cellaron Pemel;
rectis OM _ TIK.) Pariterque Dia palon
et dia pence semel; (rectis AC _ L. G.) LFDis
dia paton itidem lemel; (rectis AC e FFT. )
Zonus icem semel; (rcclis LHE et CM.)
cc Fit intellieamus AB  CD ad chordaru
CE Apopsalinata. EF qua sEGUUNEE.
APODSalmata vOCAE, ea secundum qua LONOS
Tuos edunt chordae; ubi scilicet nectIInEUE. Si
isitur intelligamus, inquie apicem superiorem
AB; interiorem CD, in Apoplalmatis; acque in
obliquo (seu transversim) POtItaS, AC e BD
in extremis Conis; iplamque AC COtaM, e BD
alicer acque aliter sectam, a Cubductorio per
iplam cranseunre; ue tiat Contonancia Dia. Pa-
lon omnino in ratione dupla, bitariam lecta d
Tubductorio AVE: EC producamus (ip(I CD
aequalem) rectam DF; UE TubduEtOrIO OCCUE-
rat in F: _ secemuS (quae intra elt) CD sC.
cundum proprias cujusque generis ratIONeS; Ut
Hat CC EOTIIS CD SemilIS, & haec illius du
pla; adeoque P. C. ejusdem CG quadrupla:
Tcerungue in EL, SIC HE SiC CD ipHuS CII
Telqui altera; e PEOpEerCA FC ipliuS CFL cri
Dla: ACque cum FacieMUS Cincra lacUS ejus
CD) tocam CD iptius CO duplam, de CH
ejusdem GC Telqui cerciam. Rcque, per lectio.
nes, tendamus Chordas ipli AC parallelas: Pa.
ciemus omnes chordarum longicudines aequa-
les; ita uE, haec cetrachorda, recipiane cujul
que generis examen. Frit enim ratio dupla
quam habet CD ad CG, duorum cetrachordo.
rum conicaque sesqui octava. Lc rario sesqui-
certia, quam habet CH ad CO, COlIuS Cetra
chordi. Ft selqui altera, quam habet CD ad
CH, cecrachordi e coni. Atque ita lempeT
producentur retrachorca, ut recipiane generum
differentias, secundum proprias cujusque racio.
neS: prout declaratum cst. Nam a sectioni-
Cx TerCaX OdS nat pors O deiuN O, or Exe bus lateris inferioris, cum adjecta equali, com-
 n Y d eoS rl Y3, en rereaxopd8 nar menturet quis eas quae directe insiltunt. Puta,
3218 Kat 3TC5 et  teT C4X 0Id (5Soov )
cos dexeodas rairas 745 Ha DoeaS TcV Quc
nara 285 oixeisS 20785 nadcos nai dedynco
And qd rcor ropucor D narco cnobeas, d DeGE
UE FC ad ED, SiC CA ad DF; & limiliter,
UE COta FC ad CC (quipre quadrupla) SiC
AC ad DO; nempe bis Dia palon, cranseunce
Tubductorio ab A ad P.
Deions ions. ras nard x opdor isaulvas nara pexs hod ns. oiev, ios n E7 reds rlo Ed ovrcos n
Sy a neos rlo d8. RoaurCS Nat, ids n dan EY nsoS Tlo Yy, rereg aoS ga 3rcoS n a Y
reos rlio do ais gap du nasior naira b bacderros 3 iarcoricos diro r3 a S X E.
a Drior
0FC
a. a
n Ka1 n d
YCCcd
H K4 A P.
Cexai vonscoude rus idi a B nat 7 d. nara ra
diro lapa ( TCov Xoedcr K at ra eEn5.
MF. aoegrodcions. D. WesSdcions. B IIL. yd, sed D. Ya
ME. ad, sed D. rectius ed. d Pro rluo yd imoniat  30 t   s.  Supleo on
VII.