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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 418, page id 867984570:0446
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=446
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 112 lines, status machine
# Lines: 112 recognised, mean confidence 0.81
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MI A NVF L TS
B R Y F N N TL
dis Circini seu diabeta) duo lacieudinis latera
LNE F I _ CTHI) in partes quatuordecim inter
le aequales, ur inde habeantur tredecim interme
dii communes termini.
Deinde insenlpimus ab unoguoque norum
credecim terminorum, alias credecim rectas li
neas; quae erune necellario cum laceribus lon-
sicudinis, tum inter se, aequales de parallela.
(DATA L R I M N Z O P R S Y V Y
ue omnes ha quindecim linex linc ee nimero
cocidem ec analoex chordis quindecim lyltem.
eis (a canonicis dicti) Immutabilis; quod in
le continet harmonicas rationes OIMeS; UE II
sequentibus ostendetur.
tum poltea diridimus lonsicudinis lacus li-
niltrum hujus figurxe quadrilaterae, (puta RC,
quae cst analosa Proltambanomena dicti Cylle.
matis immutabilis, ope expotuci acuti culpidis
Circini, (Facta comparatione valde accurata:
primum in duas partes inter le aequales;
deinde in gnatuor. Acque cum poltea, ejut
dem semissi aequalem Facimus OZ; ut haec sit
analosa ipsi Melae; habeatque ad Cam LOLA F. C
rationem duplam, quam ad Mesen habet Prol
lambanomene. Scerumque, ejusdem parci quar
Ex aequalem FacimuS FPE; ut sIE hac analoga
ipsi Necc hyperbolaon; habeatque ad eam tOra
H. TI rationem quadruplam, quam habet Pros
hambanomene ad Neten hyperbolaon. Aique
Tie quidem, ue jam diximus, primum tacimus
ares Canonis stantes Phthongos, qui continent
conjunctas duas veceritormes lyras octichordes
grariorem nimirum, es acuriorem; hoc est,
quae duo continent Cytemata contra-Conantia
Dia palon; Scilicet Proclambanomenon, quae cx-
hibet (in orave) minimum vocis locum me
lodicum; et Necen hyperbolaon, qua extriber
Timiliter (in acucum) melodicum rocis locum
maximum; et peaecerea Mesen, qua extribet
medium rocis locum melodicum, unde e pro-
prie dicitur Mele (media;) quipre quam ad
eam habet rationem chorda Prostambanomene
eandem iplam habet haec ad Necen hyperbolaon.
(Necesse enim est eadem de cisdem Expius di
cerer majoris perspicuicatis BraCIa.)
Errae chayps  ane CS, di dhverres Naext
18 n00t D(aGHTS, 25 3: N a85 aise duo nd
e45, 1201 n EB _, nD, eis denaroa C Tu
pa la oa amynos, in errcider retonaidena opot
101VOt BocOV TI.
Eia eyXaCaou di eroS EaSS TCV TOIStC
rIOnCIea opcor eMas rtONaIdENC geaS
araves e ceveynns loc TE F F8 pi 185 n  e4 15.
en cNatS, I, co DgMNOL EoOV) 75  H N
E 0  e 5 F v D. oXco5 av aa et
ap MereNaIdEnO vorTO, toue Quot TE, ut
aranog T Mrrenaidena reedars rs d 7na
vorincor naN SS a pEaBONS OVSMLaTOS d cEre
Xa ex cavrid cor apuoviNXS a KaVTaS NeYSS,
Nae DeE ev 2015 éndra dcX ocra.
Fira enW drccipBido rui TS pNSS delce
Cod CaV r8 Y01ZTE TEr Ca CNCIPS QuarOS, Hrot
Eleo EH. i esW avanogos rn wego Napbarouiin r
aipuedus apera boS ovsarOS, cia 28 dcixqu
edus dEvusrres raprirs, pd ravo arp bBS 
60215 nECoTOV eis duo pepn ioe aRyNOIS; Eira eis
roa e. Kat pd ravrae nois  ra udi iqutos pleet
avris is ryo o V eos eiras avrio ava Nogov T
peon, i négor éxer onleo riu En oees avrir  d
conaviova, ov X, i oess Nap baropdion reoS riu pe
onv EXC. TCd 3) rEFaCTCO ad pépet auryS NOI
ed ionv rio d c cos ciras aurn ava Nogov Zn vEH
F  EpCONajcoV CC NegoV ÉXeV aN ON nV Ed
XCOS arV Y TTCCTNaOOVa ou a i WCONa
Carouem neos ruo vyrlus Z unepBonaicor éxd. AM
SFC uev, cos non cipina , necrEpOV noISI C
rpcS escoras Do (5 +8 naVOVOS, oV  Erexov 45
TaS ounuperas duo deXaorpon 85 oura Xoed 85
noeas, u Baevrear rejou C dsvreear ravro
N Eineir Fa duo naT avri D CoVOV ca MSCN ovSH
pato: Hrot riv Edegs Na  Caropeoleo, Eyu exeySoaV
SriX Ba_V F EN CXIGOV pENCOdHEHV Fonov  PcoVnS
i ryo rirs Z vnep bonatcoV, ryV ex exBoaV oueicoS
Six dEv Y perihor peNcod urio tonon F OcrnS. 
EOS TBTOIS THV pIEOYV, THV EN EXBoaV Y pcoNINV
pEN CodHEHO ToOr D PcrS vO Si uveicos pon
oeoEEE) , qd or négor ex n oess Napbar
adion xeed neos avrus,  avror a ea r3rV ex n
auru eos FMDF BpCiCoV. Let yd ta aN
WV r BNIS nEeI aUTCV, ou PqVeta LONeteVOS Mna
Endta  craxe daipe ido ri d co geapopelio
d ara negor rn ryen Z vrep bonaicor, cha  Wege
pnadis dhvnerres apuirs, u aue besuS 
60AyS, e3 et pE pB IO à My NOIS: CC nosSid 
it HEr OECaE, deali RTOEM SoaV an
avrnS, tonV apa n avEn I T retrc p avris
cis ciras ravim arcisoror rn viru r die d redicor.
na
Deinde accurare diridimus (ope aeuriculpi-
Post iterum dividimus F dc lineam, Nece
hyperbolaon analosam, (oDe Dral de
cuspidis circini, accuracistima conpatattor Id.
Eta,) in tres parres inter se aequales; tacimul
que TC (cum virgula) lineam, quarcam inde
existencem, aequalem ipsi tori eju sque parci cer
tixe; ut sit haec analosa ipsi Nete diezeusme
nocata, d licera r ante oturpata, sine virgula; cu nOh lUPDCTETENE, quoE OpuS erac, distinctae licerX. FF Pa
ricer in sequenribus, quories occurr  lIC HOTAEE.
ROra pur dEcias (cum aCCeNEUS acuti nOTa) innuL virgulam adjectam literx y, qua distinguitur, Y SiC
d RepOnO