Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 49

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. U
  2. et
  3. Blat
  4. Ad
  5. rectaKP, e planum AB in recta MN: ee a puncto quolibce
  6. recte IKnempeL, ducatur eidem I_ perpendiculare planci
  7. OLP, Tecans plana IKMN, DF C normalirer inrectis OL, L
  8. P; licque perpendicularis in L. P recta OP. Supponimus hic H
  9. Lesc axemrocacionis; de rectam P L. illinormalem, appella-
  10. musradium rocarionis. dicotruncum cxlindrici RDDC eNC
  11. ad Colidum rocundum oreum exrocatione AgurEDF FC ciri
  12. ca IR axemrocarionis, reoP alcicudo cxlindrici ad circum.
  13. Ferenciam circuli, cuius Cemidiamerer es radius rocarionis
  14. L. P. perbalem DE FC ducacur rbiliber recta P L, a ba lcos
  15. circumterencia verinque terminata in L ex F, quae produccas
  16. axi rocacionis normalicer incidat in punceo V: 2 punccis F, F,
  17. excirentur perpendiculares ba(eos plano F: HI3 F.Cr, d plano
  18. fecante terminacae in HI de C, qua necessario (une in superA-
  19. Cic crunci ob erlindricum recrum, du-acurque VHrectar
  20. qua necessario exictie in IK MN plano sccance: manifectum
  21. CA eriangula OLP, TTEV, recrangula ad P _ F (cum habe +F
  22. ansulosOLP, HIEV, aequales inclinacioni plani secancis lR
  23. MN) esse similia; de ducca recra CV, ob eandem racionem
  24. Similia sune eriangula HIF V, GFV, cumque C F SC paraIleIIA
  25. recta HIE, de FF in direcrum F. V: Coincidenerecrx CIV, FIV
  26. in rnam receam plani IKMN, cricque CII F. F communis in-
  27. tertectio ploni CiFV, plano OP L parallellis cum cruncocy.
  28. lindriciRDDC: pacec ergo OP ad PL. ese, VrHIF ad FV; de
  29. ideoreOP ad circumferenciam circuli cuius lemidiamerer P
  30. Lica LTF ad circumferentiam circuli cuius CemidiamererF
  31. V; de re OP ad circumterenciam circuli cuius lemidiamerer
  32. P L ica (reliquos rerminos in eandem alcicudinem, nempe
  33. lemissem rectae FV, ducendo) criansulum HI F. V ad circu-
  34. lum cuius lemidiameter P V: eodem modo demonctracur
  35. ese, re OP ad circumferenciam circuli, cuius semidiameter
  36. DL, ita criangulum CFV ad circulum, cuius lemidiamerer L
  37. V: est igicur eocum criangulum G FV ad torum circulum
  38. cujus lemidiamecer I V, ica ablacum eriansulum HF. V ad
  39. abla-

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 49. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0065?run=74