Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 60

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.

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The machine reads it as

  1. de
  2. niam in e ae eA cenerum gravicatis lacerum op
  3. polcorum; cumq; ipla trenci superticies consetur ex omni
  4. bus iltis laceribus oppolicis basi cxlindrici perpendiculari
  5. bus idcircoeronsibit etiam recta FR percentrum grauieatis
  6. Superhiciei ipliuscrunci, hoc supponatur 3: codem modo de-
  7. monstratur in HIS esse centrum gravicaris superticiei trunci
  8. YZMLK2; cum ersox medium punctum rectae OP licceneru
  9. Erauicaris corius superticici cxlindricis ha3 per X produca-
  10. currecta 3X4 donec rectam HISincerlecet in4, erir 4 cencru
  11. Pravicaris superficiei trunci YZMLK2: & quiatriangula XR
  12. 3, XII4, Cunc similia propcer paraIlelIaSRL, HIS, CAVFX4 ad
  13. 5 ita XHI ad X R, hoc cA IO ad OS; sed veX 4adX3 ica (1r
  14. perticiestrunci ABDZY2 ad superEciem rruncI YZ MLK2; et
  15. proinde, ve superticies rrunci ABDZT2 ad superkiciem erun-
  16. cirZMLKZ, ica reciproce IO ad05quod demonstrandum
  17. eTac.
  18. CONSEOTARIWM.
  19. Tcomponendorora superticies cxlindrici ABDMLK
  20. eA 2d superticiem erunci inferioris YZM LK2 veradius
  21. Locacionis ISad incercepcam incer cenerum gravicaris peri.
  22. merritigurae et axem rocacionis cinsdemnempeOS.
  23. Demonctrantur quoque haec eodem modoin eruncis insi.
  24. Rentibus linexe vel lineis quibuscunque figuram non com
  25. prehendencibus, si modosintad aZCm.
  26. Dux praecedences propoliciones lunc eriam vere in omni
  27. Cylindricos sedincricara es constructio generali demonstro.
  28. cieniinteruiens, ec ideonoarum incencum alio modoenim
  29. CemUS.
  30. eROP, 3T. XH EORE M A.
  31. Si sint ana M quaecunque circa axes, qua sic rotentur ut axesro
  32. tationis sint feurae oniuscuius que axi normales; ratio unius so-
  33. lidi orsi ex tali retatione ad aliud solidum ex eadem genitum
  34. C07.

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 60. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0076?run=74