# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0499 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0499?run=74 # 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 471, page id 867984570:0499 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=499 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000499.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 116 lines, status machine # Lines: 116 recognised, mean confidence 0.82 # 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. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. Et A R MO NIC. A. nos acucioris cetrachordi coni Phrygii, de Pary- pate Lydii. Trem Mese Dorii, Nece Hypodo- rii Typare Mixolydii, (hoc est ipla Mele,) est Lichanos grarioris recrachordi coni Phry sii, et Parypate Lydii. Trem Fypate coni Do- rii, Mese Hyvodorii, (nimirum Flypate me TOn,) est Lichanos coni Hypophergii, ee Pary- pare Hypolydii: Omnis aurem Lichani (ut oltentum clt) omnisque Parypates lonuS, est Tonus mobilis. Cum jam dilteruimus, Obinam in organo Oportee ordinare e construere etiam tonum Dorium; proxime disseremus, Obi Phrysium OpOrcCat. Hic enim prae aliis tonis omnibus Dorio acurioribus, proxime ab illo sICuS est; ideo nimirum quod Mesen Cuam habeat, quam Mesen Dorii, tonico vocis dialtemate inten- Liorem. Ouippe Necen Tuam habet, coni Hy- permixolydii Mesen, hoc est Neten diezeu- omenon; Mesen aurem, ejusdem Hypaten, hoc CA Parameten; Flypaten vero, Parypaten me- son; et Proslambanomenen, (Iypaten. melOn. Sunc autem iptius Nece, de Mese, d PTOI lambanomene, magnicudine e ratione datx, Per sectionem canonis; Led ejus FIypace non dum daca est. DaCUE tamen e AXeC FaCIlC PEF sectionem canonis; uc. Ctacim octendetur. Cum enim cujusque coni Fypace lic rocis diacte mate Dia tellaron grarior quam ejus Mele: li Mesen ejus diridamus in tres partes incex se aequales, taciamusque Parypaten melon aequa- lem ipli tori ejusque parri cerrix, (uE habeat haec ad illam rationem sesqui tertiam,) habe binus etiam Flyparen ejus similicer magnitu dine e ratione datam, per canonis sectionem. Adeoque tacimus expolici coni Pheysii sectio nem de diritionem, ope praedicti circini, le cundum ante oltensas rationes cujusque ex an- te recentiris octo generibus melodiae; ab ejus acurioris tetrachordi Nete, hoc cst a MesC coni Eypermixolydii, inchoando; quemadmo- dum Hypermixolydii coni ance secimus cum omni accuratione. AexavoS per 28 oE VTEp TeTPa X 1 psB YO- 18 es uponum dE3 nvdhs. Kai NW n pecon E Sceio, m de r8 odes. unurn de 78 uih nodhs, 1oon aurn NIXaroS id 2SBapV p rereaxopd818 BE1C 2vd18. Kat Haw n rcarn 18d 118. pcon de r8, 11ot H VM a 1H Y D A Xaios pdv r8 ioppos rorS est, napor iru de Cum jam dilteruimus, Obinam in Organo oportet ordinare e conttruere etiam conunn Phryoium; proxime dilleremus, Obinam icidem Oporteactonum Lydium. Ouippe hujus Melc insentior est live acurior quam Mele Phry. sii diastemare vocis Fonico. Nam conus hic ut ostensum est, Necen Tuam habet Priten hyperbolaon; Melen, Friten diczeusmenon: Hypaten, Lichanon melon; Proclambanome. nen, Parypaten meson. Verum cum nondum. per canonis sectionem, daca sic hujus vel Ne- ic, vel Mele, vel Hypate, vel Prostambano- mene; dicendum est, quomodo et hx de Fa- cili per sectionem canonis extribeantur. Ouo niam ixitur, uc oltentum ell, roni Ly dii Mele 18 in aons de RiXar DBo (G, cos dE- daX), I HaSHS XapONarnS SOS Esd AtaNabOrreS Wei 78, X8 det 10 opzavs re D et re n na taona cr nay t duecor tovov Et B el 18, Xd dei r Pporov, auSa. 000 I rd OV TCV _CoV FVCOV ZCV 28dWC 7 pcev, EEHS aS FETaK), X9 P EXNo in pecolu are, 8 28 dcoeis EdH, outorcoee rorratc P Pcorns chasuua. Kat qd virrtuo idit X lus peole 28 incouiEoNvdS ZOVS, 3ot lu Vyta rcr ovel druercor ueolo de ro uxaru aurs rot apeolu uxarlu derluo n’aptu TCV pecscov neoonapsarouerlio de rlo unatut pEocor. AM n edti inen airs, nai n peon, aat e0ONapSaroE, dcdouEras pc nos 29 85 Xaror O na arouns cior ut Snc dedo) Nidor oucos i aurn co- Xep85 ~ F8 KaVOI na to 5 avrima daX HoEr. 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Kat q Xros o rov D, cos dede) velu p Exet Flo rp Elee rer ineobonaicor, pueon ) riv reirm rcdv de Sauercor, ir arno de Flu NXaVoV TCV pcocor 750~Xa uCavoNColeo dE THV HAPVTAENV TCV MESCoV. AM enddu Xrco q ECi vin r8F8 2) a ~ r8 na vovos na arouns dedory, Sren uesn, Srn IaEn. _TE n MGOONaLCaVONE avaYKaIOV EINEWV, X15 na aura e CVX Ep85 X) 4 X r8 NavoV ( 1o 5 didor). EnEL sot ruv, eos cipn ), pleon r8 dvdh8