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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 208v

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: 0.93.

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. 211r); this page is its left half.

The machine reads it as

  1. Deoportiones curvitineorum ad Rectilinea investipare GeOmetra
  2. L semper tunt conati, ee tamen nunc quogre, otiam post Algebram
  3. adtribiram, nondum ea res sacis in porestate est, secundum methodos
  4. quidem hactenus publicatas; neqre enim haec problemata ad aequa-
  5. tiones Algebraicasrerocari postunt: _ ulum tamen pulcherrimum
  6. habene, inprimis in Mcchanica ad purae Geometrix terminos reducen-
  7. da, quod norune, qui calia protundius inspexère, pauci quidem, sed
  8. maxime eximii Machemaricorum. Primmus Archimedes, quancum
  9. constac, invenic, quae sic racio incer conum, Ephaeram e cxlindrum
  10. ejusdem alcicudinis de basis, nempe gralis est HUIM CFORUM L,Z, Z, ita DE
  11. exlinder sic criplus coni, d selgrialcer sphaera; unde sphaeram de cylin-
  12. drum etiam sepulero suo insculpi jussit: Idem invenie gradracuram
  13. Parabola. Nostro seculo repertus eAt modus meriendi ApUTAS CUE-
  14. vilineas inmunerabiles, inprimis qrando ordinacae BC, in Schemater,
  15. tunc in ratione nccungre mulciplicaca aut lubmulcipticaca, directa aue
  16. reciproca, abseictarum AB vel DC; eric enim figura ABC A ad rectan
  17. sulum circumseripeum ABCD, ucunitas ad numerum rationis mul.
  18. riplicacionem exprimencem, unitare auctum. Eexempli gracia, quia in
  19. Parabola absciltis AB sive DC, existentibus uc numeris nacuralibus,
  20. 22, 3, _c. Ordinacae BC, Tunc uc eorum quadrata 1, 4, 9, _C. Ceu in du-
  21. plicaca ratione numerorum, cunc numerus rationis mulciplicationem
  22. exprimens eris 2: ergo eric sigura ABC A ad rectangulum circum feri-
  23. Deum ABCD, uc1 2d 2.F. 1, Seu uc 1 ad 3: Sire, figura eric tertia pars rectan-
  24. suli. Si AB vel CD mancane numeri naturales, e BC hant cubi, 1,8,
  25. 27, _c. (nempe in Paraboloide cubica) Foret ratio ordinaeorum eripli-
  26. cara rationis abscictarum: Ergo figura ad rectangulum, uE + ad Z FL
  27. sre 4: PeU PArS graTTA. Sin DC sint gradrata, BC cubi, sive racioipso
  28. rum BC, racionis iplarum DC criplicata sub duplicata, erie Egura (para-
  29. boloides cubico subquachratica) ABC A ad rectangutum ABCD, uE 1 2d
  30. AEs scu duas quintas rectanguli constituet. In reciprocis, numero
  31. rationis mulciplicacionem exprimenti praetisitur signum =, sive
  32. minus.
  33. Sed circulus nondum hactenus eosipotuit sub hujusmodileres,
  34. qramvis ab omnirecro memoria à Geometris exercitus. Nondum
  35. enim inveniri poruie Numerus exprimens rationem Circuli A, ad qua-
  36. deatum circum (eripium BC Fieur. 2, qrod est qradratum diamerri
  37. DE. Necinreniri pornit ratio circumterensix ad diametrum, qua
  38. et

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 208v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0418?run=44