# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0554 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0554?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 526, page id 867984570:0554 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=554 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000554.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 108 lines, status machine # Lines: 108 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. A R G TIIM L D LS eadem analogia. Forum autem quinguaginta Tunt eorum qui dicuntur Primi, et Sccundi, et Tertii, e Ouarci, de Ouinci, e Sexri; reliqui que quaruor, tunt, dictorum Seprimorum; et ho rum ultimus, mille unitates Sepcimorum nume rorum. Manifestum igitur est, arenx nuleitu- dinem, magnicudinem habentis aequalem Sphx. bis vadEs Tcer ebdouar àeur. Pareor 3V, d’et 2 ra, cujus diametrus sc centum myriades myria- dum ltadiorum, minorem esse quam mille uni taces seprimorum numerorum: seu 100010000 0000]0000,000010000, 000010000,0000 0000,00000000,0000. Com itaque demonstratum (iC, Mundi dia- 620 Lset SV Ed eX ). à T8 nerpr 3) auroS ena metrum minorem esle quam centum myriacas myriadum stadiorum: manifeltum est, arena mulcicudinem, magnieudinem habentis Mundo aequalem, minorem esse quam Mille unitates Sepeimorum numerorum. Adeoque, ArenX mulcicudinem, magnitudinem habentis aequalem 625 cdk)05 53 perc)os EXovr O i0ov rC d Xc Mundo à plerilque ACtrolosis nuncupato, mi- norem esle quam Mille unitates Septimorum numerorum; jam demonstracum clt. Arena autem mulcicudinem, magnieudinem habentis aequalem tantae magnicudinis Sphaera quancam else ponit Ariltarchus liderum iner- rantium Spharam, minorem esse quam Mille myriades Octarorum numerorum; jam demon- Ttrabitur. Cum enim positum lit, Pellurem eam ha- bere rationem ad Mundum d nobis dictum, 635 γ7 F v apcor cipndvor néouoV, ov Éxct Negov quam habet dictus Mundus ad Siderum iner- rancium Spharam ab Aristarcho policam; ad eoque et Sphaerarum diametros invicem DrO- Dortionales; sic autem mundi diamerrus jam demonstrata minor quam diamerri Felluris de E cuipelt eot etepgct a Lbiscta disabe cies millecuxla, seu per myriadem multipla: ma- 640 75 ges dEd du En aoscoV EBou n = pIVe pO Naoo niteltum elt, ec diamerrum Sphaera liderum in- errancium, minorem esse quam diamerri Mun di mulciplam per myriadem, seu 10OCO. Cum- que Sphaera criplicacam habeane diametrorum luarum rarionem; manitestum est, Ciderum in- errantium Sphaeram quam ponic Ariltarehus, minorem elle quam Mundi mulciplam per my- riadum myriadum myriadem: seu 1, 0000, 0000, 0000. Demonltratum autem elt, arenx muscicudinem, magnicudinem habentis mundo aequalem, minorem esse quam Mille unItateSC Septimorum numerorum. Manifeltum isitur clt, si ex arena tieret Sphaera ca magnicudine. qua ponit aristarehus Ciderum inerrancium Sphaeram este; minorem tore arenae numerum, quam qui tic, ex misse uniratibus sepeimorum dloocotpcp LBE CAdOtsetat aDY CB AaVECOV abpor pat o eta) 018 f p oB, 16 aibuS HOManNaora numerorum, mulciplicatis per myriadum my- 655 adav rar p 7 cbdoucor delopr. tracum myriadem. Cumque A, septimorum numerorum mille unitates, ab unitate Pro. borcionalium quinquasetimus secundus; et myriadum myriadum myrias, ejuldem analosia porados en ras avrâs ava rezias. Tcor de duo C ouo ra provact, et 28 nCCo FoL H a NB d Vot evri, CC 05 devrepos, C TC1FOI, na TesapTOB, n, r Ép no1, évros oi de NOITOI FEOSCPES, Tct eb doco N Adcor eVri naI d EaS avCV ESI, ZNC) a pop ∞ C y)oS F8 pczcdo5 Exovr 6 P ioor τ0 oD0ipo Z9, TaV 3)_ IErCOV 2 Ex3oi 5a dCB perprenis perprodcor p. 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