# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0518 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0518?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 490, page id 867984570:0518 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=518 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000518.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. 43) MI A ND E L IS BR Y F N NC procedens, numeros procrearit; per quos vere postit rationes illas in actum producere. FL quidem cum ad Quaternarium pervenerie; ha- buie unde polsit in actum producere rationes ipsas, quae harmonica illa syltemata Ancipho na, Paraphona et Symphona contineant. Ouaternario dein ad Denarium procedens; Pa riones producere posset qua primâ acuristimaque contineant dialtemata, omnium melodix sene rum; ut jam breviter oltendetur. Nam cd ipsa Cunitas) bis composita binarium effecit; et binarius ad illam comparatus, rationem ex tribuie duplam; quae continet harmonicum ly. tema Anciphonon (contra sonans) Dia Paton. Eadem unitas ter compolra, effecit cernarium; cernarius aurem ad binarium Comparatus, Fa- tionem indicarie sesqui alteram; quae concinere PosTiE harmonicum Tystema Dia pente Para- phonon: Ad iptam aurem unitatem compara cus, rationem criplam; qux itidem contineat harmonicum Cystema Dia pason et dia pente Paraphonon. Ouater aurem composita, exhi- buit quaternarium, Gualetacius aurem ad ter narIU COMPATAEUS, FatIOneMI casibuit Telqui tertiam, quae contineat laccionicum dialtema Dia. lercat Simphonum: Aa Vnarium rero comparatus duplam; Aeque, ad iplam Onitatem quadrupsam; quae concnear armonicum CyCtema Disdia pason, itidem antiphonum: In quo omnis species harmonix conspicitur contineri: Indeque cale Cyltema Perfectum dicitur. Per- fectum enim (ut in antecedentibus dictum est) illud est, cui nihil decA eorum quae ad propriam ejus complorionem conducunt. Acque sc quiden Onitas, in muleitudinem transiens, ad quaterna rium procedens, numeros omnes qua jam dicto Syltemata harmonica actu contineant, procrearit A quaternario dein ad denarium limiliter per compotitionem progressa, reliquos omnes pro- creavit numeros, quibus posser in actum pro- ducere rationes omnes quae contineant prima acurissimaque diastemata concinna, omnium me lodia generum. Nam quinquies compolica, qur narium eltecse gumalius autem ad quaterna rium comparatus, rationem indicarit se lqui- quar tam; quae contineat primum acurissimun que dia- PReMA BCNCTIS LNATMMOMII. sexies composita, le narium essecit, KClactsque ad quinarium com DaratuS, Tulatam caduit selqui quintam; qua contincat primum aentistimumque diastema se. riusque ad onarium comparatus, rationem deduss onnos, di cv andcS ciXEC0V 5018- 285 n0y85 cococrerneir eis eréprar AMa pxes udi rer eadoS WCGENDO, is eiE CVeis crepssar CoV NoYSS aCVV, V a CC aPa C oouPcora appoia ousuuala nE pEXoraSAno rex eadoS EXe denadOS. CSV ra nEcora CC dEVra 3Iasi (, Y D uENco- dhaes orrcor Quar cos aurina 2a BeaXet d 2doc). Kai id dis udi aem ouescoa es duada enoinoer n; duas oes aurus cd DgBA deroa r dhconeoror négor avé pluver ds a Dcovor D)4 ascor apuoris ovsco dCEM res est Teis de, ri reiadoi 1) eds rlui duada W DgBAnSctoco T qutONIOV Noqu aredciGer 05 r8 nara c da pcover 3 a xErr ap ebaKab 65 B Hos cd 9. 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FZ aH1S de, rverada ndEehas pos riv nevreda g LovIXS o0o ctnos Esi Weos avrlu de AG03 atb 00, cetedoanobobbus b3 socoonot be docub Ncodhas a VZCOV QVcOV, EIVEN NaSquaa Rat GAndEion, Y Mes Eps B3 cC_ Es EXt X ApCOrOV CC oGura rd olassa YS XoCd d S paNaK_ ZEVSS. F. HNB DE, Fl EM d nOEEaS XpOS THV Eta da Dg.BKDEIO Y EAENTOV O5 a CG ENEXEI 8 o oEvraror dsua 28 recouans ourtors 7285. Orranis de, ilu onrad a i de ovras eos ro enlada Dabandetoc, Y Bdou 05 apa EsEXet P ApeoTOV cE VraTOV da sa 18 paNa XX ZarOVOV gEvOIS. EreantS de, rluo crreada in de coreas rpos rlu oxrada gBn deo, VerIS CHEOMTACLCL. MIOMIL. SCCLLS composita, SepEC narium; SeptCMasturque ad schartum compara cuo rationem exhibuit lelqui lextam, quta con uneat primum acurissimumque dialtemd SCHCtIS Chromatiei Cyntoni. Octies compositan Ocloa tlum; octonariusque ad Seprenartu CoPata euS, rationem exbibeit se (qui seprimam; qua Co uineat primum acutissimumque diastema genctIS Mollis diatoni. Nories, novenariun, Hovena- a AB. in abm. sed in M. in metius abest. B Pro X resticuo rtu enordoer