Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 390

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: 0.84.

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

The machine reads it as

  1. 390
  2. A P P F N D I X.
  3. rel proportionis horum. Acqui principium rectis praebet lequentes
  4. xquationes
  5. E. A. AB = L. L. B + AL. MB F N. NB + O. OB + P. PB.
  6. 2. A. TATB = L. IITB + MI. IMFB +N. ENTB + O. TOTB +P. EPFB.
  7. 3. A. 2A2B = L. 2T2B FMI. 2MI2B + N, 2N2BFO. 2O2BF P. 2P2B.
  8. 4. A. 3A3B = L. 3C3B + MI. 3N3BF II. 3I3B + O. 3O3B + P. ZPZB.
  9. 5. A. 4. A4. B = L. 4 I. 4.B + M. 4. M 4. P +. IV. 4. L I4. B. + O. 4.DAB + P. 4. P 4B.
  10. 6. A. 5A5B = L. 5L5B + Ad. 5M5B + L. 5A5B. +O. 5OSB F P. 5P5B.
  11. FIx aequationes continus à se inricem subductxe, seilicet secunda d
  12. Prima, tertia a secunda, quarta a tertia e Sic deinceps, atque re-
  13. sidux dirisae per respectiras disterentias ordinatarum AB, LATB;
  14. TATB, 2A2B; 2A2B, 3A3B, ScC, habebuntur quinque aequatio-
  15. nes, in quibus lingulis A erit ex una parte Cola, ex li in reliquis mem-
  16. bris, pro singulis BL =TBTL; BM = IBTM; BN =+BEN, ex SIC
  17. deinceps, dirisis per AB = +AFB, SCrIbanEuE (, R, S, Y, V.
  18. in quinque residuis aequationibus, ex ex eodem modo tractentur ac
  19. sex primae, sequentes scilicet ab antecedentibus subducendo, relin-
  20. quentur quatuor novx, quae per respectiras =OT, I =2,
  21. 22 =23.
  22. 2-
  23. 13
  24. I.
  25. 24 dirictantur et pro R - RF: O =OI; S =S1:
  26. =OT; V = VF: O =OT; FCTIDANEUE Y, 5, L, I1;
  27. Item pEO RF = R2: F -92; 5F-52: OF =92, eEC. YF, SF, FF, UT.
  28. PrO R2 = R3: 9293; 82 -53:92 = 13, eC. Y2, 52, 12, 1123
  29. et sic porro codem ordine, et hxe lubductiones ac dirisiones conti-
  30. nuentur usque dum unicatantum super sit aequatio, Poterunt in quan-
  31. titatibus datis omnes A, L, MI, N, O, P, _C. exhiberi, aut Pal-
  32. tem omnes excepta ultima P, quae arbitrariae magnitudinis est, nam
  33. Factis debiris reductionibus invenietur
  34. D
  35. Le
  36. NI = = Or = P
  37. M = -- 170 -0 - 10
  38. L. = - NIr = NV5 - Ot = PI
  39. A =LO LMIR LNS LOT + PV. In his aequationibus eAt aLB:
  40. aAB = Q; aMB: aAB =R; aNB: aAB = S, aOB: aAB = T; aPB:
  41. aAB = V. SicdLL TB: a+AIB = OF; aTMTB: dLATB = RLL; aENFB:
  42. dAIB = ST, _C. Nec non d2L2B: d2A2B = 92; d2N2B: d2A2B
  43. =92; ec. Obi notandum liceram d cuilibet ordinatae praepositam
  44. significare differentiam, inter hanc ordinatam ipsique proximam ver-
  45. si

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 390. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0418?run=74