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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 1

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: 0.87.

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

The machine reads it as

  1. L La
  2. surandi quantitates curvas
  3. tra
  4. PROD. I THEOREMA.
  5. Ic curra quae cunque KB Simplex d non l.
  6. nuola, hoc est a K ad B, rectam quandam
  7. politione datam M P semper appropinquas
  8. vel lemperab illa recedens. Sic (in prima
  9. sigura) punctum in curraRB recteMP ma-
  10. xime propinquu, KL. ex duobus quibus.
  11. cunque punctis curre HB, nempc C, B, de-
  12. mictaltur perpencularis CO BP, in rectam M P, e a pun-
  13. etocurra repore puncoR proximiore ducatur recta C A
  14. curram tangens in C, et PB producte occurrens in A. dico
  15. rectam CA majorem ene curra C B. curram tangens in B, e
  16. reCtECA OCCUTreNS in R, d OC producte in D, dUCAEUF FC.
  17. Eta BRB. quoniam in prooreltu a AE ad B, curra IEB Tempet
  18. ndeiselongatur arecta PM, igitur recta BD currum can-
  19. Bens in puncto B, de vergens versus R C contra rendic ac
  20. concurlum cum recta PM, d idco angulus ABR eAt obcusus,
  21. Luperans nempe rectum MPB illo an guto; in quo cum PM
  22. producta concurrie, ckisitur angulus ABR major ansulo
  23. RAB, e lacus AR maius lacere BR, et commune addendo,
  24. recta AC maior eA rectis BRRC. sed BR, RC, curram FaM-
  25. sences in punctis B, C, luncmaiores arcu BC; _ ideo AC TC
  26. eta eodem arcu C B est mulro maior, quod demonstrare op.
  27. DOrEHIE
  28. ransmutanas ex
  29. 3e

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 1. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0017?run=74