# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0694 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0694?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 658, page id 867984570:0694 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=694 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000694.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 72 lines, status machine # Lines: 72 recognised, mean confidence 0.87 # 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. L LOIOLANNOM Ft 48 at = 292 a) + 240 a = 96 a = PxCeltui Numeratoris supra Denominatorem. Sed, Aftirmarira = Negaciva Hoc clt. 48 at + 240 a = 192 a + 06 al s tic a = 2 Ononiam a f5a = 4 a f 2 a a +5a = 4 a + 2 Ergo B = E A. Freo : iptorum A (seu terminorum) quoccunque, est minor quam sui cotidem B respectire sumper; hoc est, quam bis coridem cerminorum proxime sequencium. Duod erat oltendendum. Per quamliber harum erium Serierum, non est distieile calculare (quam prope quis voluerit) haec aliaque sparia Fyperbolica; quacunque sic proportio rationalis ipsiuS AF ad BC. Exem- pli eracia: Sire sit AF ad BC HE. Z ad L; HVC ut 5 ad 4; quorum duorum caluum caleutus hic sequitur, secundum seriem cerriam. Primo quidem, A FC (in FIB. L. ) AF. BC: : 2. 1. 2X 3X 4) F. (00416666666.. 10, 0416666666.. 4X 5x 6) 1. (00083333333.. 20.0T13095237.. 6X 7X 8) T. (0.0029761904. 8x 9X70) r. (000τ3888888.. TOXTEXFZ) T. (00007575757.. 12X 13X T4) L. (0.0004578754.. T4XLSX16), F. (00002976290.. 26XT7X18) F. (00002042484.. I8X I9X2O) F, (0000T46E088.. 2OX2TX22) F. (OOOOTO82251.. 22X23X 24) F. (00000823452. 24. X25X26) F. (0.0000641026.. 26X27X28) F. (0000050875T.. 28X29X30) T. (0.0000410500.. 3OX3TX32) F. (0000033602F.. 32X33X34) F. (00000278520.. 34. X35 X36) F. (00000233426.. 36X37X38) F. (0.0000197566.. 38X 3OX40) F. (0. 0000168691.. 40 X 4T X 42) T. (0.0000T45180.. 42 X43X 44) F. (0.0000725843.. 44 X 45 X46) F. (00000109793. 46X 47 x48) T. (0,0000096361.. 48X 4Ox 50) F. (0.0000065034.. SOXSFX52) T. (00000075415.. 52X53X54) F. (0,0000067193.. 0.0029019589.. 10.0007306482.. 54X55X56) F. (0.0000060125.. 56x57X58) T. (0.0000054014.. 58x59X6O) T. (0.0000048704.. 6OX6FX62) T. (0,0000044068.. 62 x63X64) T. (0, 0000040902..) 0.0001629939.. Nam, jam anre demonstratum elt, quod à cujulsto lemlut in ulcima columna, minor eiL Guatm terminus proxime sequens; adeoque = termini ulcimi, ubi contilticur, minor est quam TunE ter- mini Aremis. 0.04 16666666 O, OL13095237 0.0029020589 00007306482 3) 0.0001820939 (0.0000609960 005679179 = 0, 00006100 0.05685279 =F. dC 3 Sed 00007306482- 00001829939 0.00004583155 Erg0005679279 + 0.00004583 F 0.00001528 005685290 = FdC. y Et propterea, cum Ut ABC. Y L. = 9. 75 EdCy =005685279, e = 0. 05685290 d ABC dF. elt =9.693 l4. 2B, =6. 69314709 O. B Secundo;