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LBr. 56 · Bernoulli, Jac., fol. 3v

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 2r); this page is its left half.

The machine reads it as

  1. portiones ABCD, BCF ad circumseripla rectangula MD, NF eandem
  2. ubique rationem habere, quam vocabo ; simulque 1G. LH longitudinibus
  3. DC, FC proportionales esse. Etenim posito AD =a, DC - b,
  4. BF-y, FC=X, manifertum,
  5. AD9. BF9:: Tril. ABCD in DC. Tril: DCF in FC.
  6. aa. yy:
  7. abb.
  8. Q
  9. id est: ea yy:: abb. xxy; adeoque bby=x; e propterea curvam
  10. ABC esse Parabolicam: sicut etiam si desuderaretur, ut trilinea
  11. ista ducta in distantias controrum gravitatis se haberent, ut
  12. (ubi vel Biquadrata ordinatarum, ADC foret linea recta, vel
  13. paraboloidica ejus generis, cujus natura exprimitur per is.
  14. ax. At in altero casu, ubi praeter trabis pondus etiam an
  15. nexi oneris D habenda ratio est, non apparet, quo pacto ex-
  16. resolutione proportionis hujus aa yy:: abb 1.
  17. e
  18. natura quaesitae curvae elici possit; quia nunc litera 2, quae e
  19. ipsa incognita est, non utr antea evanescit: quin imo ex hoc
  20. ipso non obscune consiao, quaesitam figuram talem non esse
  21. qualis supponitur, id est, cujus portiones ad circumscripta
  22. rectangula ubique eandem rationem habeant. Quare
  23. suspicor, Amplissime Vir, latere huc sublimioris cujurdam

Cite

LBr. 56 · Bernoulli, Jac., fol. 3v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 144). https://leibnizlegible.com/page/DE-611-HS-958800:0006?run=144