# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0520 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0520?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 492, page id 867984570:0520 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=520 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000520.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 93 lines, status machine # Lines: 93 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. MI A NOE L IS B R Y P N NI vel cermns contegue Majorto labionto u e). Enddav i rot à xoenes S pei ovS Noy dronaora odvo5, 1005 FC ponoyc S ena Ho zvotro n o porOOS, Z ONVC. Kaj exet devas a 85 Z OVPLHVECON EvpoV, i ZC Y d rirapror, i eximpunter, i entenror, n, dr d ov, X DrDEraTOV, I STMEVTENCIdEKaTV, ZSTO ISVaS Laei qdo ed Chrerrenaidenaros negos. vorco ru Sreraprco ouvantopdvos, ’esir estor Negor oo ENypo o Sieaos, 2 canEas o d3 ebdouos, ru eneurc nadienre en s rondu ts plicacus, aequalis Tit (proxime) minoris lelt o ancecedenti; vel antecedens, consequenti. Cumque ex omnibus nullas repererine alias qua hoc taciant, prxeterquam (e (quL quartam, Selgut gnincam, selqui sextam, sesqui septimam, lel qui nonam, e selqui decimam quintam; (Nam rario (0(qHI. dCCIMIa-GALML LBII Se(qui- quarra 3: ut ex absecto Hypo digIatC HC OIMMIMO Maueum. Vrputa, nu conjuncta complet rarionem sesqui Tereiam, E a= 3. slem torse nona lelqui quinta icemque se lqui-Seprima selqui 3X 3 (CXLB, 3 X 8, = 8= imod ee paroS, TBro Paveper a a nor Zrve). Oic merus sexdecim ad quindecim rationem habet selqui decimam quintam; ee quindecim ad duo- decim, selqui quartam; sed sexdecim ad duode cim, selquicerriam. Irem, numerus viginti ac octodecim rationem habet selqui nonam; oetodecim ad quindecim, sesqui quintam; led viginti ad quindecim, selqui certiam. Item, nu- merus octo ad seprem rationem habet lelqui- seprimam; e septem ad Pex, se (qui. sextam; sed Octo ad lex, selqui- tertiam.) Omnino recte isicur, si primo rationem sel Qui decimam quincam in duas raciones, majorem e minorem, dirilerine, ut BE major minoris prope dupla; puca in selqui vigetimam terriam e lelqui quadragelimam quintam; conticerunt generis Fnarmonii eria dialtemata concinna: X (25 =) 24 x 46: = 8. Hloc enim Tlarmonici ConCenEnS DenuS canitur (ut ostentum clt) in grare secundum rationem Pesqui quartam, sel qui viselimam cerriam ec selqui quadragelimam quincam; in acutum contra, sccundum selqui quadraselimam quintam, selqui rigelimam ter- eiam _ selqui quartam. Dirilerunt aurem PTar. monici hanc rationem hoc modo: Sumpris pri- mis numeris, qui illam faciunt, (nimirum quin- decim, et Sexdecim,) eilque triplicatis; habebant numerum quadraginta quinque ee quadrasinta octo; (25. 16:: 45. 48.) horumque intermedios cum ditterentiis aequalibus, quadraginta. (Cx ee O pEY dEnaEZ O POS L DEHATEVTE NogvEX 95oEptor Lozov dt dE CCOS, Na 685 TE aVT et ocS epOXaIS, Y: TEOSaC quadraginca seprem: (45. 46. 4 7. 4.8.) Cumque novraeE. noi Y Tcosaegrrraa. Kay exet ud 20 De reaaipcor sisqua r eropuoris jovs. Systema Dia cellaron Ceneris Fnarmonii. inam. i Paporaros adino rebr EIHEVECHCIdENaTV o dEDEKRMENTE pos deo Dexa Chr 6 dexaEE 2p05 dudena en TeITOV. XCNWV, o per Enoor deoS po5 Y desacc negr éxt emeraror o de denaonru poS Y dexanerre, Enneponter o j etneor 7 po5 Y DENAHENZE, CAZPIZOV. KaI XaNWV, O uEV OuTCo ap Quos rpos i enta Nogor exd emebdouor o enic pe5 YEZ. Eniexlor o de ourco pos r eG, enirpctor- FinOTCS a C_ pCoTOV per EmnerenadenaTor Nogov d RoB et5 duo NoYSS, El Ova TE H ENaT- TOVa, 105 Etu Y pct (ova dconaora eYyISa 2 End Ttovos nZOL L EMANOSÖT eKTOV H EMTEO aCGN conntor cour ra 2S evapuovs 85 reia ExpIEAn X 4S Kai qd ∞ 2OISTOV gEVOS 28 ip popuers, cos dedem), d udo x Bapo pncodcir nara EArnapV, CC EmdrocoreV, CC Emnosaeq FErapTOV. BICIN = ZISToV Négor oi appovino 8- TC0 RaboreS id 6oV nECTSS dpXS CoV noI- ouvraes auror, nerouu du denanevre nai Y de naiz, nai res oaoravurres avo. Eqo Tes OUIPGNOVTAIHEVTE, nai tdC gNOVT OMTCS pl EmHOSa CGOGOMIMOV, Na)CMNOSOTCKTOV, Em S oevraros edore lun 7E05 egi - rE