# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0233 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0233?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 205, page id 867984570:0233 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=233 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000233.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 115 lines, status machine # Lines: 115 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. GOM ME NT AR IV S. ec dydoer, ro coesreper X ijputod. 1 8t2 ∞ iptoV, 2G E7t F8T8 ∞ ijutov ∞ ) ex a CNaOOV, 7W0 WCpoL Sconaoror C FBTB X drconaorv, En 28T8 ∞ di ce partem octavam, primum tumendo dima c dium Bujusque dimidium, atque hujus demum dimidium; eo au etapiait, p cmo sumendo duplum, hasasque duplum, es hujus demum duplum: quare sunt ce non sumetur unius pars octava, vel dctit ee dupia L NeorOr OUX Es yd esa x oydoor + Evos, n x ou a oaoror cinquidvor aa Tonetercor aviscor re ipion CC sit dhconaoret. 2d 9 + doderte de por i uer 305, n 15 8r n avZc, n peSV AM, or r ououcor c aBaN ReW, ENego dodeins YBV ev Deias, ouvouoc pet Scra, i Exaasova, i ouctar I a WoNaOI Baner NEYSOI Z0 roiru rn dodeton eudeia uet Leva n Exarova co DaBaNCIN, WCOXCVEATr On om civai ∞ de NEOXCpOV, 8X on x qclora n Enartova DaNeiv, ar et conard, Da x acti eGV, Neipd vOV, E paBES NCS qd n pora Enartora nabe erai a o CC pua Eo da bonn, H NEOS 5o 20XoV zigveodas Wesba BNH raj BaNW X n dixo reUE n din naoa duo, idi E3t inoay co96oNes Kai yd o dix: 2a ipcev, 10cdoa) 2a pENn i a D4baMCN à MyNOIS BSNCraj i o duxnaordoas, dis r aurs nabeir ioer AIS SV perecor, o dXo caspcor, CCo dna ord cor, duo eE avarnS norra 5 96ON as 20 dn 201850 oXCBV pen oudicos 2d à NC pEt Cor n Ex aTto EDa 20 idi ot EpeiS Cd DaBONOS noIa rot craipEra eis Tesa n TeNaore crt non duoxonor ai id epa pogai erraoda ndn Ret8S. 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Nasior et ru Dacum numerum seu magnicudinem, vel X gutale, vel augere, vel minuere. Sed (quoniani maxime in pronpe ee cel. u propeu all. tem; non modo quod majorem aUE MINOTEM conterre (cum lacicudinem hoc adinittat, pro. erer indecerminationem,) sic tactu Facile; (quip. duaS FaCCrC COIMPALALIOMICS. LVAI GUE VIaLCaLA diridie, vust HCMMBra aequare, d incer le COIM nomaxnasiaspuo adx, ci edi od urespis HoC C uc e u HaBMI cudinis pars octara, dividendo; auc, octuptum, mulciplicando: Sed, dividendo, plurium in- e plum: sed plurium inaqualium dimidia ta recta; huic coaptare Masoteu acoetum aut timilem pluries ponere, Comparare (seu Conferre) dicunt. Jam vero datae rectae majo- rem aue morem conterre (seu comparare FIOIHOSCHCOLU CR CICUIE comparationeM) da De limpliciter majorem norenre lumere, pro- posicum est:) Sed etiam quonum unica Cl col. Lacio; acque ad quodcunque tieri, prODOMLL LIC. Item, Bisartan sccare, aue duplicare, elt, Datale. ae qut duplum tacit, bis eidem aequale TAMIE. Ouippe cum bis metiatur qui bitariaM sccac, auc duplum facie, necclario duas tacit collationes. Fltque hoc in prompeu; led non pariter, ac simplo adaptare majus mmulre. Ve rum tres collaciones tacere, (live dividendo in erra, Cire criplicando,) nunc elt ditticile; nam prcceo jam lunc congruencix. Atque eadem ra- tione, quae pluribus adhuc tiune collationibus, Tune mazis expedieu difticilia. Verum hoc non Semper: Sed quando quis ea lumar secundum ipla quaelica. Orpura, liquis velie cubicalent on Situdinem octuplare, aut, tonss Olortum cubicorum, octancem lumere: Ouippe si velit Per expeaitiores modos hoc lacele, non erit dit. ticile: Docerque, quomodo id, expedirius ld- ctum, non erit disticile. Puta, si velit quis octo- cubicalis Loneitmainis lumere parcem octaram: Ilanc procinus in octo parres aequales dividere, acque ita lumere parcem cubitalem, non erit hoc expedicum; proprer octo sic faciendas cor lationes. Sed bitariam diridere, adeoque tacere lonsituainem quadri cubitalem; icerumque qua- ClL. Cubicalium alceram in duas BFCcotcares, Polt. eaque bi cubitalium alceram bilattan secare; a1. que ua lumero partem octavam; res tactu Fa- eilis elb. Fsto cum, ut propolicum Tc cubita- lem longicudinem octuplare: hoc itidem pro- cinus facere, haud tacile est; ob eandem cau- Jam Sed cubitalem primo duplare uc tat Bi. cubitalis; acque hane icidem duplare ne Fie quadri cubicalis; acque hanc icidem, ut AaE quod erat proxolirum; res est expediem tacilior: Ouippe hic lune eres collationes, non octo. eLTO i rePOO (lemu POILULAHEC) sun 3 aquaLIUE