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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 134

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: 0.95.

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The machine reads it as

  1. 134
  2. DHTILOSOPHILLE NATDRALIS
  3. Moro aequalibus, rel describene FIipses in plano illo circa centrum C.
  4. Conxonvn vel periodos morendi ulero cieroque in lineis rectis per centrum C
  5. in plano illo ductis, complcbunt. 8. F. D.
  6. Scholium.
  7. FIis attines Cune ascensus ac descensus corporum in superfciebus
  8. curvis. Concipe lineas curras in plano delcribi, dein circa dres
  9. quolris dacos per centrum Virium transcuntes revolvi, ec ca revo-
  10. lutione superficies curras describere; tum corpora ita moveri ut
  11. eorum centra in his superAciebus PerPCTUO rEPCRiIaNEUr. Si COr-
  12. pora illa oblique ascendendo ec descendendo currant ulero cirroque
  13. peragentur corum motus in planis per axem transcuntibus, atque
  14. adeo in lineis curvis quarum revolutione curre illae supertcies sc-
  15. nIEx TUnE. Ictis igicur in casibus sufficit motum in his lineis cur-
  16. vis considerare.
  17. PROPOSITIO ZIVIII TMEOREMA XVI
  18. Si Rota Globo extrinsecus ad anculos rectos insistat, e more ro-
  19. tarum revolvendo proerediatur in circulo maximo; loncitudo
  20. Trineris curvilinei, quod punctum quodvis in Rotae perimetro da
  21. tum, ex quo Clobum tetioit, confecit, (quodque Cycloidem vel
  22. Fpicycloidem nominare licet) erit ad duplicatum sinum versum
  23. arcus dimidii qui Clobum ex eo tempore inter eundum tetioit,
  24. ut summa diametrorum Clobi e Rotae ad semidiametrum Clobi.
  25. PROPOSITIOZIIZ. TTIEOREMA XVII
  26. Si Rota Clobo concavo ad rectos angulos intrinsecus insistat es re-
  27. volvendo proerediatur in circulo maximo: loncitudo Ttineris
  28. curvilinei quod punctum quodvis in Rotae perimetro datum, ex
  29. quo Globum retieit, confecit, erit ad duplicatum sinum versum
  30. arcus dimidii qui Clobum 1oto hoc tempore inter eundum reti-
  31. sit, ut differentia diametrorum Clobi e Rotae ad semidiame-
  32. trum Clobi.

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 134. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0168?run=74