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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 35, page id 867984570:0063
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=63
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 121 lines, status machine
# Lines: 121 recognised, mean confidence 0.75
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

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H A R M O N IC O R UM LIB. I
ouonorsions clo so ut ouoicos alte crca, pro emie lanco o
HarrcoN TCoV QV KauSro xExoua nium iridem generum commune quidem; Se
TCV TEICOV NEZED COV ENO HOVa oGa ZCY XOI
NCOV Ex aEpS l.8. . Tcv ido X nOXOV  EX
TCV, ∞ ~ 20(95 r BapOTOEC, duo ouvauPo
eea EMerlora Zveo r8 We5  oE VraTW TCV
anorrcer, 5o under rcor pegedeor pei or na
diseodas FCV NOIcor dO ouvaNDOHSECOV. Z8T CoV
Er rconcercor 3aspB  recoror Y Sirreror
Regor ~ A~ rEOS apcoV OOpDCoVaS, VoNIS EvESIV
cis Bqoeess noyes duo c reis) rven po
veos. IaNWV CC 30 B FOIBTOV, WC Na pSarOVErCO
quencem Trium magnicudinum, minorem sem
per eRe utraris reliquarum. Propria vero:
eorum quidem generum qua Spictum habent;
Oux in pravistimo Tune, magnicudines duas A
mul Lumpeas, minores esse quam illa quae est
in acutistimo: Porum aurem quae spistum non
habene; Nullam este magnitudinum sineula-
rem, quae major sic duabus religuis simul Lum-
PEis. Elis igitur praetupposris: diridemus,
primum, rationem lelquitertiam, (qua est Con
Ponantia Dia tellaron,) quocies licec, in ra-
tiones duas superparriculares. Quod cer dun-
ScoV r aurov recov EDCZHS Sroeicor, 8  taxaI Feri potest. AEque hoc, Sumptis quae
Shurapto, C& Pncums, i 28 Sers. illam continue sequuntur tribus Tuperpartieu-
20 pc Apot gd Y ErITOV, ECd per Saer ap
oeosi deis  emerread Exa O. ZW de Cne
sCo, o EseVaTO r de emeurco, o  enebdo.
p(O 2 A F8T85, duo psvoIS  eMOIS esqo
laribus; sesquiquarta, sesquiquinta, et sesqui-
Texta. Selquicerriam enim complet, adjuneta
telquiquarta, sesquidecimaquinta; selquiquinta
rero, lelquinona; e selquilextx, selquiseptima.
Post has autem, non aliis duabus luperparci.
e boa   oo cularibus comportam reperells selguetea
Laβ. 15.
SCCOS
et
Rogwv. E per P dy rcoV Ld MVOV HEC SEX OVT CV
Rocor, Exesdn puei 85 cion et avrois oi 2 is
edvos No uVaDOpCVscV NoIior, Cet
(pet ovas NOY8S FeV nero ovEVyicor 28
EESt Fo)  EnrerapOV,    enire pentov, u 2
EnEKTOV SDue =TOIS yspEvoIS aurcor Ni-
Jam vero, quantum ad ea genera quae SputitHit
Continent: quandoquidem, In HIS, FALOMCS PTa.
cedentes majores sune binis religuis MIu lum
Deis; rationes expolitarum conjugationum ma-
jores (nimirum, sesquiquartam, lesquiquintam,
ec selquisextam,) racionibus iltorum generum
praecedentibus adaptant; reliquas rero mino-
3015 CoV dE Hom G Enartovas 2875 sov E res (nimirum, selquidecimanquintam, sesqui
enmeren end.  CC F Emerorer, i r emedouon, nonam e selqui seprimam) urrisque limul re-
5015Y octaB T NotCor. LIVE) oEC n FS- liquis. Fir aurem tarum cujusque dirisio
Dro duabus sequentibus rationiblis; LUIPES
FCOV EHCGOV, hesiBEorS, HOFa C6V 2 Ero p 185 6V0NO-
285,  nqlaropercer avre rv eis rela ropor
trachoras
ejuldem in cria sectionibus: quippe sic Pe-
ZS decst opeios. a CSV. naxhavsusa. B Eroua Y recom rationem incellisit cerriam ab acutistio (OnO:
Potes autem media major esse praecedente; ut in diatono incenso. c Fnarmonii s Chromaticorum senerum
a Cenerum Diatonicorum. e ABOISVO. ReES. C DMI. reis, quod omnino recinendum. F (L. C ro roIrOI
uv. 8 C. 2018r0. hGIO. deest X, d C. i C. deest C S Ereurs, sed recentiori manu (uPDICEUT. X AB. - - +0
TAB. Eminar  per reminum u sed plerumque (ut reliqui) crevaros. Sed V. Fere LCMper entena: D5. m S. ENIExToS
AB. aAaS. 0 PrOnumeris 60, 75, 80, posuisse lienit in eadem ratione inores, 12, 15, 16; Sed eos habent
omnes Codices. p RSVO, ros. q AB - 10v. r S. deest i. (V. peil85. + R. ent re gd
eo rois. M. aenea eo rois.
7
YS. -- repar. Z S. E pooss. a C K OV. naccharopdis. b KL. Eri reia. Senus est
subobscurus. Cur, scilicet, in eria divideret hanc rationem, cum dux tantum deliderentur quae (cum praece-
dente) complerent Fetrachordi tres rationes. Poterat utique expolicam rationem, in duas superparticulares
prove aequales, diridere; minimos eam extribentes numeros duplicando: Pura, ( (verbi sracia) rationis sel
quidecimaequinex numeros L5 Ex i6 duplicems, UE RanE 30, 32; intermedius 3T Faciet cum utroris rationem
suxerparticularem (nempe selquierischmam ex sesquirrixehmamprimam, aequalibus differentiis, ex prope equa-
e8,) ProPter
55 = 15: 2dc09uC Z X 35 x 32 = 8. Ille vero criplicac; sumptisque, incer eriplo5 45, 48.
duobus intermediis 46, 47, rationem expolicam in tresparcitur (aequalibus excessibus, ec prope aequales) proprer
15: quarum duabus in unam reductis (42 x 43 - 48 -- 24) cres illae in duas receunt 33 x 45
indeque cum praecedente Z) habentur Terrachordi rationes cres Z x 34, x 45 = 8. Cur aurem has (quas cripli-
cando
elicie) prioribus illis (duplicando elicicis) praetulerie: non rideo, quam rationem innuic, nitL VE, SC
erium Ce
vetio, lic, vrravis reliquarum (nocabiliier) minor; (piouc ante suppolierac:) ouae, alias, focura eral
prope aequalis medix.
ab x8