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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 262

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: 0.92.

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The machine reads it as

  1. HIIIIIII
  2. 262
  3. PTITLOSODMT MATDRALIS
  4. Corol. Inde nec motus partium Auidi incer se, per prestionem.
  5. copponon Ruido ubiris in externa superticie illatam, mutari portune, nil qua-
  6. tenuS aut fgura Superticiei alicubi mutatur, aut omnes Auidi parres
  7. incensius vel remissius selc premendo difficilius vel facilius labun-
  8. tur inter sc.
  9. PROPOSITIO XX. THFOREMA XV.
  10. Si Fluidi Sphaerici, e in aequalibus a centro distantiis homogenei,
  11. fundo Sphaerico concentrico incumbentis partes singulae versus
  12. centrum totius cravitent; sustinet fundum pondus Cylindri, cu-
  13. jus basis aequalis est supersiciei fundi, e altitudo eadem qua
  14. Fluidi incumbentis.
  15. Sit D HM superticies Fundis et A F. L
  16. Superticies superior Auidi. Superticiebus
  17. Sphaericis innumeris BF R, CCL distin-
  18. suatur Ruidum in Orbes concentricos ae
  19. qualicer cracos; ec concipe vim grarita
  20. eis agere Colummodo in Cuperticiem supe
  21. riorem Orbis cujusque, et aequales esse a
  22. ctiones in aequales partes superticierum om
  23. nium. Premitur ergo superticies suprema
  24. AF. vi simplici graritatis proprix, qua ee
  25. omnes Orbis supremi partes de superticies
  26. secunda BfR (DeT PrOP. XIX.) pro mentura sua equaliter pre-
  27. unEuT. Premitur praeterea superticies secunda B S R vi proprix
  28. Graritatis, quae addica vi priori facie prectionem duplam. FIac
  29. prestione, pro mentura lua, ec insuper vi propriae gravitacis, id cAt
  30. prectione cripla, ursetur superticies cerria C. EL. lc similirer prel.
  31. sione quadrupla ursetur superficies quarta, quincupla quinta, et
  32. sic deinceps. Prestio isitur qua superticies unaquaeque urgetuE,
  33. non est ut quantitas solida Auidi incumbentis, (e d uc numerus Or-
  34. bium ad usque summitarem Auidi; ec aequatur gravitari Orbis insi-
  35. mi mulciplicacae per numerum Orbium: hoc est, graritati solidi cu-
  36. jus ultima racio ad Cplindrum praetinitum, (si modo Orbium au-
  37. reatur numerus ec minuatur crasitudo in intinicum, sic ue actio
  38. graritatis a superticie intima ad supremam continua reddatur) fict
  39. ratio aequalitatis. Sustinet ergo superticies intima pondus Cylindri
  40. Praet
  41. 1II
  42. DE MOTD

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 262. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0296?run=74