Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 85v

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: 0.83.

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. 86r); this page is its left half.

The machine reads it as

  1. pla
  2. cos et darys socionos
  3. coratae quantitatos,
  4. augontz y duminuanth tangue
  5. . 2 et ppoluy meromontu N docro
  6. de puncus lornis sic nolat V, X ij, Z et hery
  7. Lua 2aV d fluxro quantitatis V et i fluoeco ipsius
  8. denontos practd Y sardae, flusciones dary sue notat.
  9. Eu veronos F y. _ et V aa = 3e X et hary fluaiones st 5 X et
  10. 6 = 3
  11. Jere ( doepositis mothodus sua in pepositione ha Problomatita bundat
  12. 20b. 1.
  13. Tatâ aequaliond fluontos quotrunque quantitaros mverent invoniro feuacionos.
  14. Solutio.
  15. MultooltoB quilbot aequationit oru soparati q induos singulos dignitatus, quantitatus ocysfluentiu
  16. quae in 1ro 1lo glmontz et m singnes multiplicaorbus mulol3 Calus unys dignitatis in op fluociond, et aggrogali
  17. phodutoru oeu sub propris signis componet aequationo nora, quae rolavom fluscionus involvot.
  18. Explcatio
  19. Sput abE. d. ve quantitates dolratae ot un matabilos; et proponats aequatio quaevis quantitatas
  20. flnontos Z, y, X De involvons puta X - X 44 + a a 2 - 6 =0 Maltiphoent lori prnno por
  21. induos dignitatus ipsis X in iposis contontarus rospoctive, et in qualibot multipliao pro une Caloro d
  22. dignitatis (hoc D ero X unes dimonsconis) soubalz X et summa productorus dut 3 Xex ieua.
  23. fiat in i et producolh = 2X 41. Gdo fiat in 2, et produrob3 + aa 2 Summa productorys oiu
  24. aequolu nihilo et Rabobiths aequao 3 X X = X 44-X gy + aa 2 =0. 8100 qd haer ont aequa rolacom
  25. fluoeronus invoevens.
  26. Domonstratio.
  27. Sit e quantitas infincte parva et sint o2, Oi, oX, synchrona momonta sou meromonta
  28. momontanda quantitatus fenontus Z Y B X: et quantitatos prosenno compouis momonto por accosdam
  29. meomontoy momontandon ouadont 2 + 02, y + oi, X + oe quce n aequad grma pro 2 4 et
  30. Xe scrypce, dant lanc aequadoin X =3X x 0X + 3 X 00 s X = 3 X 03 = X 44 - X 0yu = 2X oiu
  31. =2X ooiy + X00y i + x 0 ii + aa Z + aa02 - 6 =0. Subduc aequaoom pruna et 26suduy divisus p
  32. 0 dut 3X 2 = 3X X OX + X 00 - yy - 2∞yi - 2 X oyi + Xoiu + è ooyi + aa 2 =0. Soros
  33. mueliplicalos por e tangue insimo parvos doeo, et manobit aequao 3X - X un - 2 X 41 + aa Z = 0. g. 3. d
  34. Punali mothodo aequao X = X 4n + aa rax - qu - 6 = 0. oradit 3 X e nu - 2 Xe qu + aa YaX
  35. 1 =0. Ubi si fluxionem rax= un demumaro rotis pone rak - in = =. et p consoquons ax-yu
  36. = 2 et Proposctio dabit a - 244 = 222, id d a - 24n = Z sou 21 a X - 4y = rax - yy et
  37. indo aequalio pramo moonta fit 3X X - XyY = 2 Xyy + ad X - 2 avy
  38. a X - 2yy
  39. et dado mothodo pergere lirot ad fluocionos. 2dut ac tortias. P on al3 aequalio 2 1 = 2 + at = 0 et
  40. == 0.
  41. varyu
  42. Propositio undo dabit Z qd + 3Z 147 - 4Z2 = 0, et haes aequa por oporaom roporita dradotZ yd
  43. + 62i y2 +3299 +62412 4223 -12 22 22-0 et su doncops.
  44. ut appliots haec mothodus ad quad ratura Curvarus. nontones pro flurciono absriso umforim
  45. posita, unitato assuunt, et ordmata ponit pro peuocond arvae; domdorotaom unor alheise a aequat
  46. ne quavis assumplâ definit, et indo colligondo oavrys fluxciones oennet aequadom nova qua rola inter
  47. abscissam

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 85v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0170?run=73