# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0489 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0489?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 455, page id 1041163592:0489 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=489 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000489.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 recognised, mean confidence 0.84 # 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. PRINCIPTA MATHEMATICA. 455 codine MP; in FB capiatur punctum b, LIBER ea leges uc A L A, FC muruo secuerine in P, sic distantia YB YenTIVS. ad dictanciam PB, in ractone compolita ex ratione MP ad M N et ratione subduplicata SB ad sb. Et eadem methodo inven- endum erit punctum celctam B. si modo operationem tertio repe- cere luber. Sed hac uethodo operationes dux ut plurimum sut- Fccerint. Nam si diltateia Bb perexisua obvenerit; postquam inventa sunc puncta P, fel 6, 5. acta rectae fif et C8 secabunt Exemplum. EroxOnatur CometA aani 1680. Ftujus mocum a Flamstedio ObTerratum Tabula sequens exhibet. 24 26 29 Tem. apPar. Temp. rerum) L 0nB. Solis j LOnE. COMELX, Lat. CometX) 4. 46 6. 322 6. 12 5. 14 5) 30 8. 2 1d 6. 20 4. 46. 0 v T. 5F. 23 v5 6. 31. 21 8. 25. 0 6. 36. 59) TT. 6. 44 6, T7. 52 5. 2C, 44 8. 3. 2 8, 20, 26 6, X. 38 7. 0. 53 6. 6. 20 7. 8. 55 7. 58. 42 8. 2T. 5. 6. 34. 5+ no 5. 7. 38 2T. 45. 30 14. 9, 26 16. 9, 22 18. 49, 10 25, 23, 24 28. 24. 6 27. 0, 5 29, 29, 43 de 13. TF. 45 28, T0. 5 20, 2F. 9 17.39. 5 28, FF, 12 26, 22, 18 Y 8. 49. 20 26, 25, 26 no O. 29. 2 18.43. 18 24. T2. 42 T. 27. 43 4. 33,20 20. 40. 57 23.44. 0 25. 59. 3422, 27.36 26. 45. 36 8 9. 35. 46 27. 56. 54 2L. 49. 58 24. 46. 59 6.50 3. 4. 4c 27. 49. 5r 13, 19, 36 16.40. 57 25. 23. 46 26. 2. 16. 59. 52125, 27, 23 FIis adde Obserrationes quasdam c nostris. Temp. apPaT. ) Cometx Longit. Com. L at. Febr. 25, 8n. 30 8268., 18. 17 7285. 465 27 Mari. 8. 15 TF. O 8. 0 IF . 30 27. 4. 24 T2. 363 27. 53. 6 28, 12, 27 12. 247 12 , 20 29, 20, 5I 12. 32 ol 8. 30 H0. 43. 4 12. 458 Hx Obserrationes Letclopio sepcupedalis de Mlicromerro Alis- ue in foco Telescopii latis Peractae sunt: quibus instrumentis inventa insuper lon LA d rC i Punecto quaesitis X et L. 1680 Dec. 12 21 2681 suo S ssi 6049 5. 54 Ic 6. SC 7. 4 Feb. 2