# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0454 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0454?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 426, page id 867984570:0454 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=454 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000454.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 94 lines, status machine # Lines: 94 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. # 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. IL LL L O L. LLS B R Y F N N SF. C F IO HOH A. De sectione Ceneris Syntoni diatoni. WDM jam de generis Diatoni equabilis sectione disseruimus, prour accuratissi ma, hoc est sciencitica, ratio postulat. proxime de generis Synconi diaconi (seu in sensi) sectione dilteremus Nam et hoc me lodiae genus, ut ostentum est, candem habet Li chanon quam Diatonum- aequabile. Sed cum genus hoc eandem habeat Licha- non quam Diaconum xquabile, necesse cMt ut cam rerineamus omnino immoram. Diridimus autem cam in partes octo inter le aequales: Facimulque ejus P’aryparen, seu Friten hyper- bolxon, aequalem ipli tori ejusque parti octavae; ut habeat haec ad illam rationem sesqui octa- ram. Polteaque auferimus a ratione seiqui terria. (quam habet ejus Hypate, Peu Nece diezcuz menon, ad ejuldem Necen, Peu Necen. Lyper Bolxon,) dictas duas rationes Cuper parcieula res, (nempe sesquinonam, quam habet ejus Lichanos ad ejuldem Neten, d selqui octavam quam habet ejus Parrpare ad Lichanon,) ra- tionemque ex ratione selqui cerria reliduam Dolt abilationem ambarum dictarum rationum super particularium) hoc cst selqui decimam- quintam, dignoseimus accurare rationem esse iplius Fypaces ad Parypaten. Ouippe ( d ra- tione selqui terria auferamus cum selqui nonam, cum lelqui octaram, rationem; nulla alia, ra tionum Tuper particularium, reliquum ex co diactema continebir, quam sola selqui decima. quinca. Sicur, in lubjuncto exemplo, nume. rus nonaginta lex, haber ad lepeuasinca duo rationem se lqui cerriam; l isitur inde autera mus rationem cum selquinonam, cum selqui octaram; hoc elt numerum septuas inta duo, et octosinca, (quippe hi lune qui, in diastemare sesqui tertio, amborum dictorum cerminorum seu numerorum, dialtemata carum rationum Tovol opeaNoV ilu rnp Ina VOAB aMEETANIVTV. Accipsid ) eis curco peen 1 a MAnNOIS Nai roIS Tlu apVls aUES, ot Zlo Zesrus Z VnEpON aicor ionvórn aurn nat res oydoco pépet aurns cos ex aurlu veos exculeo, Novor enydoor. Rat pes ravra, a Daips ul do 8 EnITeIrS 2078, eV EX n aEn aVrS, ntot A VnEn F di Coyiducor, WC95 Fl rslos avr8, 1ot rlu virlo inepbohatcor, CoV cpnuvs duo Empoe185 No- 385 not Y Eserraror, ou Exet n NXavoS aur de95 Fle vil, nat X envydoer, du exein apo- FA aVrS ceis rlio nxavor nar Y nano duov NoyoV ex S EnreITS NoYX, drd à PaipEoE aDorpcor 2 ciondicor pe icor Noycov, 4201 2 Emnerrena dExaror, Hazreooxopd ane ScoS civar = 8 LEAEHS aVTZ NoYOV WC9S EHV rapONa Kai sd’ eince à Pexcopd ’emervaror Cc enoydoor ne Vor dero S emreirs noys, Sdcis au aMOS XEm PeitOr NercoN X NoVO eE aVrS eeGet XaSn Pa, ci pon pov O o EMEVTENaIdeNaS. Gier, S 0d erquaros, o evvernnor qet deuos, neyor Exa neos ebdounverta duo, Sireror car S d9t T8T8 a(DENCONEV ZOV ZE EIEVaTOV CC énoydoor Noyor, yo edounnora duo axuor nat 7 oy dorxor (a Srot No q éjon oi e ZCS EMreITC HaSqua, auPorEpCOV FCV cipnuducoV opcov, etTSV depucorus re 3) asipa Ta TCoV FoISTCOV NeYcoV EE- F0 dvrepor re axopdo r puihovd rvs. Acurius Ferrachordum Fypermixolydii coni. Cenus Srntonum diatonon. inern. rasonaru, n reern. rasaviru n nexaros. Zuvrover 3Jérovor 36. OH U H At A E N N A HEe. D Xa (aTOUIS T8 suvrorS ZarOrS ge1Ss. TaNa CoVTES 2 et F8 Ll∞ 5018 0. na TaToUnS, na san o omne cod EirSV O SSMUOVINOS, NogOS annS E 2oEt ∞ 28 ouv o o3oda Kaj Id n x 20ISTOV qO) ∞ prNcodhas. cos dE derr ud aorlud Ex arot ud na Y 4. AM endon i ∞ revoS 232 Elo avrlo ExdN Xaror iv Naj ∞ X)a roveV dua NoV, E aveyrnS ra reirm ieo quonaicot Maeddin VA Epebtieelior. daa et XOXS de