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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 433

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: 0.88.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. 11
  2. LFBBA
  3. crum B D demittanEUE sInUS FP. EE Cumma quadTAEOTUM EK YERXIOS
  4. +33
  5. PRINCIPIA MALHEMATICA.
  6. rum ex rocidem semidiameto et.
  7. Partes innumeras aequales, ec a parribus singulis sad diame.
  8. Tinibus omnibus PY aequalis crie summae quadratorum ex sinibus
  9. omnibus CT, et summa utraque aequalis erie summae quadrato
  10. rum ex toridem lemidiameeris CP; adeoque summa quadrato.
  11. rum ex omnibus FP, erie duplo minor quam summa quadrATO
  12. Jam diridatur perimeter circuli AF in particulas eotidem x
  13. quales, ex ab earum unaquaque sad planum e R demittatur
  14. Derpendiculum FCr, uc de a puncto perpendiculum AH. EL
  15. vis qua particula lrecedit a plano _ R, erit ut perpendiculum
  16. illud FC per hypochesin, de haec vis ducta in dictantiam CC1)
  17. erit efficacia particulae Fad Terram circum centrum ejus con-
  18. vertendam. Adeoque efficacia parriculxe in loco F erit ad CAi-
  19. caciam particula in loco A, uE FC ZGC 2d ATTXFTC, hOC
  20. eAt, uE FCg ad ACg; et propterca efficacia cora particularum
  21. omnium in locis luis F, erit ad efficaciam parricularum eotidem in
  22. loco A, ut summa omnium FC g ad summam eoridem AC. 9, hoc
  23. est, (per jam demonstrata) ut unum ad duo. 9. F. D.
  24. EF quoniam particulae agunt recedendo perpendicularicer a
  25. plano e R, idque aequaliter ab ueraque parte hujus plani: caedem
  26. converrent circumterentiam circuli sEquatoris, cique intaerentem
  27. Terram, circum axem tam in plano illo _ R quam in plano Ai qua-
  28. toris jacentem.
  29. KKK
  30. L. F. HI.
  31. WIIMIHHIHIIHIHMMIMHIIEMIIIIIMBAHIHIIBIHBMI HIHIIN

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 433. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0467?run=74