# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0487 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0487?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 459, page id 867984570:0487 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=487 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000487.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 97 lines, status machine # Lines: 97 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. AI A R M OLVTCi A. Lira anu dcipsido ouoicos aorus SS EXe ubt 1156S Ccirlio nogor Et VY 80or. Deinde, dividimus cimiliter sic tactam ejus Lichanon, hoc est Parancten hyperbolxon, in parres item oeto inter se aequales; Facimulque ejus Parypacen, aequalem ipli roci ejusque parci octarae; uc habear haec ad illam rationem scF. qui octaram. Polteaque auterimus ex ratione selqui terria (quam habet ejus Flypate, hoc est Nece die- reugmenon, ad Necen Cuam, hoc est Neten. hyperbolaon,) dictas duas rationes illas super- Particulares, 8X 8 =8: Reliduumque (ex sC(. qui rerria) diastema (post dictarum ambarum rationum luper. parricularium ablationem) e 3 (335 dignoleimus accurate illud esse quod con- tinetur ab eo quod a Musieis dicitur Flemi- tonium; sed, ab FTarmonicis, LImma. Quod in nulla estabilium rarionum Cuper-parcicula- rium (concinnarum ee inconcinnarum) Con spiciatur. Nam, ut Flemitonium, quodammodo inter duas rationes luver particulares effabiles inconcinnas interjectum, (se (qui-decimam. sep- timam ee selqui decimam lextam) conspicitur: 7105 e i X Rea peraZ coS duo exquo- lic de Limma, inter duas estabiles raciones su. per-parciculares inconcinnas, (nempe se lquide- cimam. nonam, ec se(qui- decimam- Octavam.) Ma- jus aucem est Flemiconium quam Limma, xa- cione selqui cencelima vieesima octara, provi- me; ut PCOlemRUS in ejus Plarmonicorum lI bro primo accurace demonstrarie. Vr, in IIy. Dodismate, Numerus ducenra quinquasinca lex ad numerum cencum nonaginca duo rationem habet selqui cerriam: Si vero inde auteramus duas rationes sesqui octaras, hoc elt, numerum cencum nonaginca duo, e numerum ducenta sexdecim; (Ouippe hi sunc numeri qui, in dia- Stemare selqui cerrio, dictorum duorum termi- norum, seu numerorum, hujus rationis dialte. mata continent: Nam numerus ducenta sexde cim, ad numerum cencum. nonaginta duo, ra- tionem facit selqui octaram, 216, 292:: 9. 8; atque ad ducenta quadraginta tria, qui est hy- Dolosus dicti Crarionis inettabilis residui diaste. maris ex se (qui tertio) Limmatis, secundam ratio- occ diplee N1 Xavor avros, nrot rleo c darnclus F vrrepbonaeicor Ch een ioc _ MHNOIS Kai noIS T apvr arles avros ion oan aurn n, Fcs oydoco peEpe Kat ps raura, a Papd, do S emreitBK V8, od Exan aVrS, yrot n vn F o d educor, neos Eleo virlus av+ 8, nrot Eluo vir vrepbonaicor, cov eienuts duc ov ao eApl eiss oy85 Kai ~ ndrouvor γ) aisqua Ex 28em 2e128 NYS, diro r à DaipSoEcos aPorpcoV F cipn edicor empeoeicor Noycor, Hazreoxod ano Eiraj x EnEXOvoV d 78 nanSuS 2 4 id 5oIS pesornors iprroris, codq ) solh app REIuaTOS. OnEE ev SdEHLF E quoe icor enEcoY Ne Ycor E EENOr CC expecNcor, decope duva Rat Id, cace ∞ nutTorO peraEo NcoS duo EXI POCICOV CKPIENCOV PnECoV NoycoV 28 7 ExleMaNa Denars i Extenaidenars, decopc Doer s eicor CTCNIESC NoyCOV, TOV TE Cn eE 1B EHIONZCOKCIdEXaES MEGor y ∞ nurtovr 20V RaipeparoS esr, exenarodocoor d’oo Noyco ios TTONEPIaIOS EV ZE NECOECZ apporINcOr avrS ar axpCcs Edcter. Otor, 10catos, on néora nerriner a eZ a euos, neos ensot MM viinorra Duo, Rogor éxet dHirSITOV Far et at1 78 à Dencopdo CoV duo eroydoss nors5, yro exaror erernorra dvo, C Y Zanéora denaez. Ov Fot gue ejor oi, ev r Exireirco X) 4squa, eipnevicor duo opcor, erer deoucor, 22 2)45 ua l9 YB FOISZS NoyS emExoS o qd Waneora denae esDuoS, rEoS u Exa or erverorra dvo, volet exordoor Nógur xpos de Hanéora rosa egnO rareia, ds LoogoS τ8 ncn en 70V EX 1 r8 D) asuarOS apoTS NoyX Est, ntot 1S NanS edis reipescaereS, + deurrpor o necnouvos a pen roS 2o d urpo rereaxopdor r8 eputEoudS Fors. Acurius Fetrachordum Eypermixolydii coni. AAEOVIatOV 2. Genus Diconicum. virn su deredicar. reirn crpbona mecvtra ingeoreia GrrTH. necr resaerticm in noxare oitra vnceloraior. 112 E AB. enpurtur. M. ipgunar. Fla rationes (quavis super. parciculares) dici videntur enpunics quia non sum ex numero illarum quindecim quas ance dixerat receptas esse in systemarum composicione.