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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 89r

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: 0.80.

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. 88v); this page is its right half.

The machine reads it as

  1. Aequatio
  2. Si in aeq. paginae primae 4, destruamus
  3. s, faciendo. P 20. 30 = 10. 40, in aeg. 4 aberunt
  4. quia ad sespjus vepama
  5. y et gydy. ita 40- 20
  6. data dende multiplicetr per 51, et at eg. 5 destruttatur demini ubi 50
  7. Mitim loco 51 adhiberi bi ita omnes in cognitae habert potam simstram parem
  8. 61 = d41 + dex 4 - d31 22 - 31 d22 = 10 41 + 12. 90-21,. 31 = 22. 40 = . 1a 41 + 11. 40 - (410 0 ) 40. 31 - 21. 30
  9. 11. 304 + 1230, 40 (= 41. 30.3 = 22. 30. 30 = 10. 31, A1 F 11. 31. 40- 18 31. 31. 40 (,21. 30.31
  10. Hine commodissime habetur 22, et fiel 11. 30. 30. g1 = 10. 31. 4. 40 - 10. 30 31. 41 : 303 = 22
  11. compendio 22 = 30. 130 _ + 10. 31. 21. 40,:303 et d32 f d(5B. 120) 41 + (D. 1120 d41 + ( d (18. 431) qd + 18. 313) d40
  12. Et fiet 48 12. 36 d 41 + 38 d1 2. 41 - 30. 1130 31, p. 31 31 4u d31 = 30 210. 12 H1 + 30. 1 8. 4u - 1 1.30. 131 - 1. 25. 21
  13. Cams aequationis ope habetur 21 quo vaslore substituta in valore posteriorenasius 61. habetur 61
  14. 303.31. 47 8) 41 - 30113al4 S 4 (o. 31. 31) 4 40 - 10. 31. 31 31. d40
  15. per 40 et 41, uti jam habentur 22 et 2I. His jam valoribus substitutis in Temmnis yus ex etgax
  16. Habebuntim aqu in qua 404.. qu +. 41 f. de40 +. 441 =o et rursus. 40 t. . 41+.. d r. d21 = 0
  17. t in valore sdo ipsus 61 ponatur H(1 - 1021) 40 = 2. 4D At d sccundo
  18. sed video per d21 descendi ad d41 quia
  19. valorem 3tio aequando fit 10. 31. 41 A 7. 31. 40 (= 30. 31. 21) = 11. 30. 41 F 12. 30. 40(2V. ∞1= 30. 38. 22
  20. et conpendiose fiat 22 = 8.40 +9. 91 et d22= 18,40 +8d40 + dg. 41+9d41,i quem valorm
  21. sstatuendo in aquatione nimqualeris ipsiuis si cum ultimo fiet dat 3do
  22. fiet 10. 12. 41 + 7. 12.40- 12) 4070 = +12. 3od41 + 50. d12. 41 . 3ol31. 840 g - 20d 31. 94
  23. -30 3148.90. 30. 31 9440 = 30 31 d9. 41 - 20. 319d41
  24. His jam ex ydos agi pt porro hanc ex pra ex valore 3 explicato 2, Aet
  25. Unde compendid fiet 21 = 6. 40 +7. + 1L 4140 +5141
  26. fiet 61 = 5041 + Z40 f21. Hic ob yen fit 10. 41+2 40 - 21 = 407 1 41 + 2 apo t di 4g0 a 190 20 -9 dv. H
  27. 3
  28. B +30. 4840 f50. 8140 43049. 41 130. 9d41
  29. A- d3121 - 31 d2
  30. tot d rrto fit L. M+ Z, g0 - 2 = 44, d5. 3. qu a ta r. 4 901 540 - o , 2. 1g0 2t - 30 d21 .
  31. ila lrabemus tres segai sud 40, 41, 21, quas compendiosies esserr licet quaula sunt 40, 440, 4, 4
  32. 21, d21, sublato 2) habebimus duas ubi q et 41 descendunt ad dd go, da 41, ubi siquid judico, non
  33. potest tolli 4I, nisc descendatur ad d d140, nam tollo potsst dd4I, restunt d441, d 41, differentiando
  34. habetur ihuc senel dd41, et d40. ubi nusu unde tolli poss potest etiam da, restat 41, cum 40, 440, dqu
  35. Ergo idme sendi dsferentiando descendetur ad d. 40, et tolletur 41
  36. d2L ex aeq. 16, d21 + 4sset 4. X() 21 + XX2(2 - - 2. 4 1XX + 41 - 2 s21 + 41 - si Aad per ta set +. EF sat = L XF L a1X + a - 2( it + 41, et differtulando fer.
  37. x
  38. s
  39. vyarex
  40. A 8- V Bo sia d log f ag L hg bts v et a V- vB s = do b + dtotr b + de dso. lul epupuirbid qu nus sen foe tile prio sim letepes ater

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 89r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0175?run=74