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Leibniz-Handschriften zur Mathematik LH 35, 6, 11, fol. 17v

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: 0.79.

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. 18r); this page is its left half.

The machine reads it as

  1. Aduussa interum hac hypothesi, quod eit infiunta vis uppensa
  2. adhuc in Ahoy, minus ponderis caterae deducat, quam ipsa latena sola sequem utique
  3. B esse centrumgr. calenae, adeoque posse semper dari data ejus magnitudine
  4. hinc jam facimnus calculum. sit AB v, et BC, y. fiet Aex
  5. curva AC = (Fartdu = C A et fiet BA = S75 Tar rdy-y
  6. et BRF.
  7. R BR.. sed BR in C2 est momentum curvae AC ex basi CB
  8. bis
  9. et fiet SA +di in V Stavtau -yr = mom. AC ex CB
  10. Juim momeatum AC ex CB habetur, si ab AB in AC, detrahas
  11. mom ex vertice seu (v idverdu
  12. ergo fre
  13. +(Sdv+ dii in FF5 Sdr + dus -yt = (Sdo + du in V-
  14. Sdv + au vocetur ( deo et fiet : co sco -y = ved - (vdco
  15. 2s
  16. c0 - yt deo +d 1odco - ydy: Sco - y = (v d e0) + co dv ( v de
  17. fiet L co deo = L y deo + = cd deo - 2cydco = eo sio -y deo
  18. unde
  19. seu
  20. vel L co Scor- yt = (eo dv se Edidutem vel 1 co+ co-y = (co deodus re
  21. ort : tco- est deo + LCo codco - ydy: sco - y = co Sdes - dus =co av = (0 dg. 1)
  22. seu co-y deo + L Co co des +i lis - 2coydeodus: co - ist + Codes -y deo dus
  23. seu vemus.
  24. H
  25. codeo - Co dysq
  26. 4C04 y deo (- = cos deo + L Cot de + Co y des-( ydodus
  27. e
  28. (+ L co dco = = Co y d co di - 1 c0 5 did; + = co dco dis
  29. 2
  30. =(Cot deo) - cot dus (= co ist deo) Co is dy
  31. H
  32. seu y deo - 4 cohy deo dy + 2 co 1 deo dys = - 4 co dus +3co y dys
  33. y dud + 4 co dus f 4co y dydio = +4W0 y dys dio f 3co 9 du + 4 c y dcodus - 2Coy todus
  34. doB deo: dy = 4 fiob y9 - 4 coy 9 + 2c05 9 = - 4c + 3c0 yt
  35. seu qel . 100:y19 = - +c0:
  36. + 36:y2
  37. sit co:y = r fiet
  38. +r6-+r 4r= aY + 3Y = 4r - dr + 45
  39. qE - qnq = - 4r. seu 9 - arr 9 + 1br 2161 , 1Y - (4Y 4Y et (4Y + 3r ni gr
  40. 2
  41. +26: y5
  42. + 2Y
  43. seu 4- rrer = _ 2rSi -Y seu g- 2r tar 4 rr, posilo q- dev: dus et r= C0: y
  44. +372
  45. + 2Y..
  46. unde ces est reducibilis ad quadraturas sed seu q- errtr = 2r24 2Y. adeoque
  47. q = f2Y +2rr 42 -1 Y posito g= aco: dy et r = co: y
  48. unde haberi pt saltem per vadraturas curva, inqua cosco-y = 2 sed do
  49. posito esse cd= se foro Sidv + dy

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 11, fol. 17v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068056:0034?run=73