# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0503 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0503?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 475, page id 867984570:0503 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=503 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000503.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 119 lines, status machine # Lines: 119 recognised, mean confidence 0.80 # 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. TL AL IL MM OL IC LL. Est piev rot nat eocos pox dooreper DeiE C X 8 FEVCOV. 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Eav ) aNr aurqu eis reja pepn Loc ∞.MnNO1S dNCOV I HOISCONd ZHV NEpIM an aurns m ∞ oE VrPOV, n7ot M Td oE Cardico iorv 7015 duo pEpeon a1 coh ex Excioleo nGOh QVTV Négov utONs. Cops H N axCLOCOS, et ota Zepa 28 op7aVS d’et rarei 3 28 VepGoNVdO LoVZ FqV peconv. AM 8rC idv CM WCDXCS, 3)a ~ 28 navor D na Ta rounS, ei odc)a an 610S, Cv notos Xcepa F8 ep7 aV8 d et raY- 7dV 78520dcS Tor ZIV pConV, X 78 dWe 3 28 piconodio, in 28 uncopt Eonvdis. Eav) rn dodEivaer po 28 1 0dWe1B 201S e5 Cvvea puepr 10a aX HNO1S dRKCOpIEV 3 noinOCa et H Et 13 EyS ext X ODFEPOV, 7ot Y aV EO CoV Ionv ZoIS OAZ CS pIEpEOIN aVZHS. IS EXCV CKCN NEOS auriu nogor enydoor cioqeda ane bcos, et notct Xespa r8 opzare dei ra de n, 28 0D po7is roiz 7 peov. Kaj 3d, co5 ev r015 Epocoegod ev cion), n rZ 28V3IS XVS péon, ouVTOICOFC D pConS TE 2odcoeis rorS est, rorrajco 8 Dcovns HIgsua Fav) F pcon 28 uno Pouris rorz quoicos eis ervéc Onin e aliter expeditius ostendere licet, Obinam accurate in organo, hoc est in qua ejus resione, oporteat ordinare de construere quemque pradictorum octo conorum. Cum. c. nim ostensum lit, quod Melc coni Dorii, lit quindeci chordis organi (Mese seu) chorda me- dia; (quippe hic ionus solus canitur integer. cum in acucum, tum in grave; eo quod ad duodecim ulque tonos vox nobis inferrire pol. sic, ut ante dictum cst;) licque Mele, organi ea chorda quae est communis cerminus duorum Syctematum contra Ponancium Dia. PaTon, acu- tioris nempe d gravioris; atque ad hanc in- ter se conjungantur duo Cystemata; (est nei- que haec eadem cum acutioris (y Stematis PeoL lambanomene, tum grarioris Nece:) Si isitur in Eres partes inter le aequales divicimus DO- rii coni Mesen; tacimulque quartam ab ipsa in Grare, hoc est Hypaten melon, aequalem ipsi cori ejulque parri cerciX; (ut habeat haec ad illam rationem sesqui tertiam;) videbimus exacte, in quanam organi resione opOrteat Or dinare Hypodorii coni Melen. Acque li cam iterum dividimus in quacOr partes inter le aequales; Facimusque limilicer quartam ab illa in acurum, hoc es ParanCLEN diCZEUSMeNON, aequa illa ad hranc racionem selqui cerciai;) vide BimuSs IIEM aCCUTaLE, in Qua FeSIONC OrSANI OpOTtCAE Ordinare MTIXOIdi cOnI MCIEN. AI que si iterum eandem in eres partes inter le aequales diridimus; tacimusque quincam ab ipta in acurum, hoc elt Neten diezenomenon, aequa lem duabus ejus partibus; (ut habeat illa ad hanc racionem selqui alteram;) videbimus iem. accurate, in qua regIONC OrSANI OPOFLCAL Or- dinare Llypermixolydii toni Melen. AIque SC quidem ex facili, per canonis sectionem, vi debimus accurate, in qua resione organi opor- teat ordinare cum Fypodorii coni Melen, cum Dorii, e Mixolydii, ee Aypermixolydii. Sin e datam hane Hypodorui coni Mesen in par- tes novem incer se aequales dividimus; Facimul. que illi proximam in acucum, hoc est Pary- Patenmelon, aequalem ejus parcibus octo; (ut habeac illa ad eam rationem selqui octavam;) videbimus accurare, in qua regione organi opor- ceac ordinare Ly pophrysii coni Melen. Nam, ut in praecedentibus dictum Mt, HyDopheygii toni Mele, intensior est quam Mele Lypodo- rii, tonico rocis diastemale. Sin Melen IIy. Dophrygii coni similiter dividimus in novem partes inter se aequales; et (dimilta Hypodo. rii Mese) facimus ei proximam in aeueum. hoc est Lichanon Melon, aequalem iltius octo parcibus; (ue hrabeat illa ad hanc rationem sel. qui octaram;) videbimus item accurate, in qua resione orsani ordinare oporteat LIypo Iydii coni Melen. (Nam, ue prius dictum est, Fypolydii Mese incentior est quam Hy pophrysii Mele, conico rocis diallemate. Si vero (dimista Hypolydii Mele) proximam nec 4 PnS 18 oosi E tovtajco 5 Ecovis H) Sqa H. LaV7 rs ovdiB r pesqu à P ev- det ane bCoS 73 oprS, etF SV ev nota Zcopa, 7dF- 7dV 2 2, na laoa dv EnaGOVY XPOdoyuENCOV OnZ To1 F NIX aVOV F peo cov, honV 2o15 evr co plépeon a rys ios Exev exenno neos avriu regor enoy d’ooy ehoopueda axW ane BCdS, ev noia X copas 18 epza 18 d4 2a E c n 78 uron vdh8 261S Y pEOnV. Ka1 gd, cos eipu) porepor, i r8 inodudis peon, ouvroico MEpn Ioc a My NOIS dENCONEV, Y 28 Vrodcoe18 à - ETES hy nOIHOCOMEVZCH TI MM o