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Machine transcription of the Leibniz Nachlass

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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 63

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: 0.90.

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

The machine reads it as

  1. PRINOIPTA MATHEMATICA.
  2. 63
  3. 2 sh aleopsq aescateo, cclansula 5vh, spg erune similian es PFOP. PuIMVS.
  4. cerea vh erie ad pq uc eAt sh ad 59, id est (ob similia criansula
  5. 2d 59, quaeque constituat ansulum v sp ansulo hsq ee angulum LIven
  6. VSF, B59) uc est VS ad SF seu ab ad pg: AE quanEuE ergO
  7. vB e ab. Porro ob similia criangula VSFF. VsB, CA VII 2d
  8. SFF ut Vh ad sh, id est, axis Conieae sectionis jam descripex ad
  9. illius umbilicorum interrallum, ut axis ab ad umbilicorum inter-
  10. vallum sh; e propterea Figura jam deseripea similis eA Pigurx
  11. apb. Transit aurem haec Figura per punctum P, eo quod trian-
  12. culum PSFI simile sic criangulo p sB; ec quia V FI aequatur ipsius
  13. axi ex VS bisecatur perpendiculariter a recta FR, tangit eadem
  14. rectam TR. 9. F. F.
  15. L F MM A ZVI.
  16. a datis tribus punctis ad quartum non datum inftectere tres rectas
  17. quarum differentiae vel dantur vel nullae sunt.
  18. Cas. L. Sunco puncta illa data A, B, C ee punctum quartum Z.
  19. quod invenire oportet; Ob daram differentiam lincarum AZ, BZ
  20. locabitur punctum Z in Elyperbola cujus umbilici sunE A ec B, ec
  21. Crincipalis axis differentin illa data. Sit axis ille M LVI. C apC P M.
  22. ac

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 63. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0097?run=74