# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0013 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0013?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 7r, page id 00068194:0013 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=13 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000013.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine # Lines: 64 recognised, mean confidence 0.86 # 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. (a6. 3. 5. 7 9. 11. 13 Secundum Wallisium ratio Quadrati diametri ad circulum est E6 10 1. 1 2( ag. 3. 3. 5. 5. 7.7. 9. 9. 11. 11 etc 1. 3. 3. 5.5, 7.7. 99. 11. 1etC aequ. 1). Ergo fiet 2, 4. 4. 6.0. 8. 4. 7. 6. 6. 8. 8. 10.10. 12. 12 etc et Y2F) aeg. 3. 5 10, 12. 1EM 9. 11 etc. Sed hinc colligo expressionem 2. ete Nallisianam posse quidem haberi pro appropinquatione,, sed non pro expressione exacta cujus apparet continuabilitas in infinitum, sed non pro exucta expressione per infinitam seriem consideratam semel in uaersum, cum enim exprimendo per suppositato continuationem in infinitum oritur absrdum dividendo enic omnes nam omnes numeri numerutoris tolli possunt, quia habentur eorum multipli– in uxminatore, si uterque in infinitum continceatus intelligitur, et ita paret (2FI aeg. 4. 2. 8. 2. 12. 2. et 2b C, 16. 24 etC quod est absurdum fieret enim Y2F) quantitas infinite parva, similiter fieret . seu 2F.) aeqF 64. 256. 576 et c. V 64. 1. 64. 4. 64.9. etc. Itaque itaque d potius s exprimendum est, ss ad C) continue appro- pinquari per hos valores, 3.3 vel 3. 3.4. 2. 4 2. 4. 4. C vel 3. 3. 5. 5. 8. 7 ve (3. 3. 53. 47, 9. 9 2. 4, 4. 6. 6. 8 2.44. b. 6. 8. 8. 10 seu 2I.) p 3 vel 3.5 vel 3. 5. 2 vel 3. 5. 7.9 vel 3. 5. 7. 9. 11 vel 3. 1. 7. 9. 1. 12 Y4. 4. 13 4. 6. 54 4. 6. 8 (5 4.6. 8. 1015 4. b. 8. 10. 12. X vel 2 (() 3 vel 3.5- vel 3Z vel 3. 7.9 vel 7. 9. 11 vel Z. 9. 11. 13 12 4 13 vel 9. 11, 13. 15 81b. 24. 78 8.16. 24. 1619 vel 13. 15. 17. 19. 22. 23 11 8. 16. 24. 32. 40Y12 Et dam. Ex issit Appropinu fit Circ. 8. V4 8. 8Y5 8. 16. Yb 8. 16. 1217 vel 11. 13. 15. 17.19. vel 11. 13. 15.17. 19. 21 8. 16. 24. 32 s10 8. 16. 24. 32. 20 si e ita porro. Et proinde series Wallisiana est proprie appellanda finita indefinita seu quae alicubi f 225] 1225 Adiam ad circul. 225 - 192 11025 - 9216 893025- - 737290 19845 192 1024 16354 vel cn nun 10o 109056025- 88473600 minoubus Ratio A dat quolienses 1. 8,B, 15, P 4 2, 1) C, 15,10, 1, 2, 1, 21 14, 1, 2 + 9u 14 finienda concipi pote, lice debet, licet non exprimatur ubi. 8 95 E, 129 ly 113r1045 81)