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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 174

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.82.

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The machine reads it as

  1. 174
  2. PHITLOSOPMILLE NATDRALIS
  3. DEMod aqualitatis. Aecractiones igitur, in contrarias partes aequalicer fac-
  4. CORPORDM EX. Se mutuo destruune. EE Simili argumenco, actractiones omnes
  5. per tocam Sphaericam superticiem a contrariis attractionibus de-
  6. Aruuntur. Proinde corpus P nullam in partem his actractionibus
  7. impellitur. Q. F. D.
  8. PROPOSITIO LXXI.
  9. THEOREMA XXXI.
  10. Ti(dem positis, dico quod corpusculum extra Sphaericam superficiem
  11. constitutum attrabitur ad centrum Sphaerae, vi reciproce propor-
  12. tionali quadrato distantiae suae ab eodem centro.
  13. dint laB. aded aguales ce iapelcles spuaenica, centis
  14. Si s, diametris AB, ab descripeae, ec P, p corpuscula sita exerin-
  15. ecus in diametris illis productis.
  16. Aganeur a corpusculis linex
  17. PFTK, FTL. phB pE aCuS a Crcuns maximis AIIB,
  18. miciantur perpenencula 5, 5a: da, se c1 13 guorcu
  19. ahb, aequales arcus XTK, BK e YL, it: EF 2d cas de-
  20. SD, Sa (CCenE F L p III L _ Y. DCMEICAMCO CCaM a Came.
  21. rros perpendicula I9, ig. Pranelcane anguli D PF, dpe: &
  22. (0b aequales DS _ a5, L8 a 153) a TF, FF _ pes p)
  23. tio ulemuas angulis illis D L ap limul crancicentibus, est x
  24. ec lincolae DF, af pro aguandud abeatur; quippe quarum ra-
  25. qualitaris. Flis itaque constitutis, crit P Y ad P F ut RI ad D F.
  26. _ pf ad p2 ut as ret L aur a esHOL LRPfad F FiXp
  27. aicum ant Curtus P 12c10l2a add a ps aa pr ut s0
  28. ve) dF 2di9; ex ex aequo F (Xp 5 ad FSX pi uE L dl 19. L
  29. AE R Y ad r i, hoc est (per Corol. 3. LCm. VTE) uE areuS YH ac
  30. conjuncti racebus L L gumnks x aquad. X P F X
  31. d
  32. uc lLLXLd ad ihXig; hoc elt, ut lup elculatio quam
  33. icu

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 174. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0208?run=74