# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0550 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0550?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 522, page id 867984570:0550 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=550 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000550.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 111 lines, status machine # Lines: 111 recognised, mean confidence 0.82 # 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. A R GTT LM D IS st aequalis. Conseat staque, t’actum, cum Cx Ca dem ese analogia; cum, a mulciplicantium majore cocidem distare, quot minor distat ab unitate. Constar item, quod ab Vnitate di Itac uno minus quam elt simul uterque nu merus quibus illi ab Onicace distant. Ouip. De ipA a B y S= EnB coridem TunE quot D di- Itac ab unitate; iplique 1K a TUINE unO Pau- eiores quam quor sdiltat ab unitate; ut qui, tis peoraidos a éXd oi de 1X N, 2 eni ena ores n 1525 cum D, cotidem (InE: FTis aurem parrim potiris, partim demon- Stracis: provolicum demonstrabitur. Cum enim ponatur seminis Papareris diame- erus non minor quam digici pars quadraselima: proncovos pun lesove cu n r anuspier dan maniteltum est, Sphaeram, qua disitalem ha beac diametrum, non majorem elle quam ue contineat seminum papareris (ex myriades d quatuor millia, (seu, sevasinta quatuor millia: nempe 64000, hoc est, 40 per 40 per 40.) Est enim Sphaera, diamerrum habencis digici par. 425 HOEosplev dRNTNE, oM a CoM Ccra C5I FW cion. cem quadragetimam, mulcipla ver dictum nu- merum. (Demonstrarum urique elt, Sphaeras ad inricem rationem habere diamerrorum lua- rum eriplicatani.) Cumque pesicum (IF, Arena numerum, qua lemen papareris aequet magni- tudine, myriade (seu decem millibus) non ma- jorem esse: manitectum est, ( Sphaera digica lem habens diametrum, arena toret repleta; non majorem Fore arenae numerum, quam illa, sex myriadas et quatuor millia, decies millies Cum- ta: (seu 64000 in 1000O, Boc est, 6. 4000, 0000.) estque ille numerus, sex unitates secun- dorum numerorum; ec, primorum, quater mil de myriades. Minor isitur est (multo magis) quam decem unitares lecundorum numerorum: seu 1010000,0000. RaOSCOV ouo E5WV 4. C cd BBC c51b plat. Sphaera vero diametrum habens dixicorum 10 A d ut P tor 2L d test (9. b t poB centum, est, habentis diametrum digitalem, mulcipla per centum myriadas, seu 100, 0000; hoc est, 100 in 1OO in T0O: (propter Spharas ad inricem in diametrorum Tuarum ratione eri Plicata.) Si itaque ex arena HCreL LanEX ma gnicudinis Sphara, ut diametrum habeat cen cum digitorum: manitestum elt, minorem tore arenae numerum, quam qui tiat ex decem uni- catibus secundorum numerorum, mulciplicatis Der centum myriadaS: (seut 1010000, 0000, oDaiC_, HMa Naoa E5I FaSdaNroNalaV EX8 ∞ TpI naorOV C ot KO Ma TaV 3)4 pet pcod Ic5 6Paspas.) Et 8V ) NOLTCM 8 a p 5AS ODaICA P TANNaVTa ~ pE76)oS, a NNa EsV e sDaipa es EXZOa FaV X) eErpOV daNZINCorP. dn NoV, cos E a Dcor éoverrcs o r8 L espe p_ de16 po5 78 quoudis axibuis 2moman naore or ror dena povadcor p aptocV, E P pepIaDECV. per 100, 0000.) Cumque decem unitates (c. 450 Eret de r ddripcor apiouior d’ena povades, de cundorum numerorum, Sc, numerus decimus ab unitate continue proporrionalis in termino. rum decuplorum analosia, et, centum myria- des, sexrimus ab unitare in eadem analogia; manitectum est, numorum factum, terminum naroS E5M deduos d povades avai nogov, et 70 T dEKa NEV opcoV avanoza oi de Enator erades. EdouO oprados en TaS avra avanozias dyner, 1o5 o quou O v op coei Fore, ejusdem analoeia, decimum sexcum ab uni: +5s ) TCV Cx TdS avras ava noytas = euxcudena tare: (Demonstracum utique elt, uno minus ab unitare distare quam est simul uterque nu- 9 diro porados. (dedcn id on Y ertenas oevas dero ras porad crexe n ioos esi apibuos TW X. Aydor EV, en QouvoS, en res P aras Va NOZIOS TEESIV, 3 do pCt OVOS HOM Q CNaOrC OGarFSSo aEXcV, 1585 o Énanicor dera rs provados arexd. Pargoor de, en iy dro pova dos cineX ert enae Dovas n doos ésir o apibpos ouv au Poripcor 85 anEXoVr dto ras prados. 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