Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[De Resistentia Solidorum Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis] De Resistentia Solidorvm Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis, fol. 50

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: 0.91.

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

The machine reads it as

  1. 10
  2. DE RESISTENTIA
  3. Ex Conoide Parabolica.
  4. ABC, cuius diameter ba-
  5. AS AC, aris veroFB, se
  6. CCFUT POrtIODBE, cuius
  7. diaeter basIS DR, aXIS
  8. aucem GB. Aio resisten-
  9. tiam Colidi ABC ad res-
  10. stentiam solidi DBF in
  11. cadem esse ratione, in qua
  12. diameter AC ad diame-
  13. EPLIM DF.
  14. Resistentiam solidi ABC aequet FI, resistentiam vero solidi DBF X-
  15. gnet I. Duoniam momentum ponderis HI ad m omentum ponde-
  16. ris E, hoc est momentum resistentia Colidi ABC. ad momentum
  17. relistentia solidi DBF, Cubus ScilicCE ex AC ad C LbUM ExDF,
  18. proporcionem habet compositam ex rationibus ponderis HI ad
  19. Dondus I, e longicudinis FB ad longitudinem BCr, hoc est Oua-
  20. drati ex AC ad Ouadratum ex DF, ergo, re pondus II ad pon-
  21. dus P, resistentia videlicet solidi ABC ad resistentiam solidi DBB,
  22. ita diameter AC ad diametrum DF. Ouoderat, eC.
  23. COROL L. I.
  24. .Inc Facile colligitur resistentias Conoidis Parabolicae, _ ex ea
  25. L abscisse portionis esse incer se in subdup la racione batis ad b4.
  26. sim, vel axis ad axim.
  27. COROLL. II.
  28. J. Licitur quoque Conoidis Parabolicae, et ex ea abscitte porcio
  29. Lismomenta ponderum in sextupla esse ratione resictentiarum,
  30. P RO P. L X VII.
  31. Onoideos Parabolicarum ponderibus illis proportionalium,
  32. Ls quorum momenta, simul cum momentis. ponderum Colido-
  33. rum, ecc. eaindem inter se habent rationem, quam momenta
  34. resctentiarum, momenta ponderum sune momentis resiltentia.
  35. rum proportionalia.
  36. Deducitur hOC ex PrOP. 12. huius.
  37. ERO

Cite

[De Resistentia Solidorum Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis] De Resistentia Solidorvm Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis, fol. 50. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/168608546X:0068?run=74