Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 43

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: 0.89.

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

The machine reads it as

  1. DEDIC A
  2. Eeracur (quipre jam in ca sola rerlamur aequatione quae lux
  3. Ponic D deorlum Doni) 3 d, habeneur cocidem redices g.
  4. 3d = DD. vuca, A Sincradices r, uc in exemploprimo,
  5. + = d N 105 = = d, + 28, un =d V 103 =d: erune cocidem
  6. radiceo g, F = dV 105 32d, i 2d, m 3d Y1O3 = 3 =d.
  7. A similirer in reliquis. Elbi incerim nocandum est, quod hac
  8. lubductione heri poreA, ut quae fverac radix afFTMIAEIrA Cran-
  9. seae in nesariram. Puca, quocies punctum D, cA intra 67, Ced
  10. lupra D.)
  11. Adeoque hujulee aquationis casus omnes Colvimus. Acque
  12. eadem opere, hujumodi currae ope, mechodum omendimus a
  13. quaciones cubicas, hujulce FORE OMeA r L MY = L.n.
  14. Ceomerrice Colvendi. empe Cumpra diemerro d= AP
  15. Y.m (cui ordinarim. applicaca siE Pa; accoque, Cumpra.
  16. PF = = 3P A = V Em, Fa CaNSCNS,) _ AC = M
  17. (deortum quidem A sie = n, TaETum verO A = R3) ducaIUE
  18. per C recta, tangenti Pa parallela, occurrens curvae in pun-
  19. ato (uno, aut pluribus, prour concigerit,) O; dueta ordinarim.
  20. applicaca OD, decerminabit aequacionis radicem CD -= r; de
  21. quidem, hiocemlus puncta: O plura sine, cocidem erune de pon-
  22. cta D, adeoque Aquacionis coridem radices pollibiles; attirma-
  23. cirae qua deorlum, negacirae quae lursum, cendunt.
  24. Tandem, uc eorum aliquando absolramus negocium; Muo
  25. niam jam facta cA mencio puncti B, aliorumque similium, in
  26. curra Ba, cciam Curtum concinuanda; adeoque _ punctorum
  27. diameeri quae his relpondeant: Libet _ eam rem aliguatenus
  28. ineueri. Diximus jam Capra; s P a dexerortum (IC L P ejusmo-
  29. di recta sinisteorlum erit = P; adeoque urilIus cubus t p. sC
  30. hujus - P; e proprerea, E diametri sicus deortum, puca A P
  31. dicatur T d Curlum eric d: adeo9; licet EiC d. d:: p. P ?. nOn
  32. tamen (Cumpeis ordinacim applicaris in concrariam DATLEM)
  33. d. d: : + p . = P3. Sca F d. - d: : +. p 2. = p. HOC eA, IICCESIE
  34. ouond a inferius) AP. AA:: PRC. AaC, non camen (quoDd
  35. Suvcrius) AP. AA:: PaC. ABC. Sed AP. i AA:: P aC.
  36. A BC.
  37. His autem consideraris; eadem methodo qua vE Sumus (mu-
  38. cacis mucandis) ad proP. 47. Con. Sect. rem ad aequacionem
  39. perdu-

Cite

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 43. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0489?run=74