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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 309, page id 867984570:0337
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=337
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine
# Lines: 90 recognised, mean confidence 0.81
# 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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GO MMIE NT ARTVS.
309
avrois ouvesae, C ai narrinaon oar a cogin- illis paricet ereniret, s omnino etsent inva-
XaKoL 3  à 2)a DOPSVTES Eros HaN M av, d
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potas, av1o 85 de 505 HascS notcopuda 
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cos pEXP1 D Y E EsaI, co5 n a B ∞) 41 5C 05 2o e95 
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a B t o Por F,Et zaep Es V, cos n Y d γ a  OIS We95
ri YEDasuo, 82c05 0 D YE 10O veos
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cos n a B X9 a015 neos rs yE D)aao o
riata, nec ab una cademque diverta. FOrrO
aurem, in lic habencibus (nempe, clcucs l
centiones similes, inaequales aurem MMLaMas,
demonstrationem instieuamus: urpura lIN AB
e CD circuitu ex tensione similes,  loni
tuaine aequales: aequalem CD minuences, puta
ad CF: eric, uE AB distancia ad arcanciam
CE, liC CF TONIEUS ad LOMICM AB. Ouo-
niam enim ellus ut CD dlcantena ae Mistanciam
CE, SIC CF Tonicus ad TonicuI C. B. aGualIS
aurem elt cum AB distancia, dutana D.
cum AB Conicus, Ponicui CB: C1B eriam, ut
est AB distancia ad distantiam CL, HC CF 10
r05 o d YE Lo∞ reos Y F a B Lopor A nicus ad Conicum AB. Reciprocatm enim (seu
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nepaNats
contraria ratione respondent) olis, chorda
rum lonsicudinibus. Finis Oncccimi Capicis.
Principium Capiris Duodecimt.
R F P. 1B.
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15
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ous aurvi ai rVES NapCavoV) 2S. V 4 rES apcot
oop DeorS, =787151 EmTeITS NoYS, a5 2845 Ne
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pei Coros rcr chasquarcorneos ra horarco pog
racsouls ira dyner, on x idi recoror ouipcorer–
on Et H)a OCV, Er or, en dvo ZCV XOCOTCOH
oouDcoricir, 23 r D) a nerr ng 28 dia raaipco
n oc)  TO DE DCOTOV SVHDCVOV, EN aX
octo
PEO ru
C A P. X L1.
ae De majoribus isitur sonorum differentiis,
 haec nobis definita sunto. Et quae se-
QuUnCE.
Teit igitur, majores disterentias, prae
dictas illas acuminis d graricatis, in
sex Consonanciis; in ratione se (qui ter-
ciau sesqui altera, dupla, reliquisque. Fransie
alicem ad minores lonicuum disterentias, quae
Contonanciarum primam meciuntur, auc iplam
complent. Oua habentur, diriso Consono
Dia reltaron (hoc est, ratione sesqui tertia)
in eres rationes (ad eundem modum cum eis
quae ante definica sune de ordine Contonan
tiarum) ita ue maximum diactema adjaccat (0-
no acuristimo. Ve manifectum lic, quod pri
mum Onisonum, nempe Dia pason (unicum
existens) composicum est ex duabus primis
Contonanciis, Dia. pence e Dia ceslaron: Pri-
mum autem Consonum, (omnium minium)
ex tribus Dialtematis concinnis, rationem sel
qui tertiam complencibus. Hlanc aurem iptius
Dia cellaron divitionem, non eandem semper
esse contineit; led alibialicer consticui. Nam ad
Genera de Fecrachordorum diltributiones tiunt:
quippe alicer in Fnarmonio, aliter in Chroma-
TicO
bO at . P 3iC _L. C AP. 22. _ MC. 6. D. cC er. 6 EtO mocus, reponendum
 Malim
5OV OV O TEICOV EpOPIEN COV dha SMCF COV, 78
est pEX et r8 emreirs noys TlodEEr chaiecon
28 dia rosapcor, 3 rlusi aurlu civas Harra X, ovpe
BeSyer àMore dE acos dutaa poS q la
on, i daipeods rcir rersaxoed cor, zvov)  Mlo
adver rederapporics cs t lad recouarcd