Search the Nachlass

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 38

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: 0.82.

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

The machine reads it as

  1. Analysis Insinitorum.
  2. C M P. L
  3. nocetur hoc in catu, qui2 = = 22, lineas
  4. 6
  5. 8, ec _F, AD S dC N F SInE respectivis
  6. currisnormales, in uteaque ese aequales.
  7. 27. Sic ex data currarum relatione rectansu-
  8. Jum D e N aequale quadeato lincaer, Ccu y Z
  9. rr. quae aequatio per intnicesimrs exprecta da-
  10. Bicy Z F y 0 F aZ + a0= Yr, HOC CH peF S. 6, _E7.
  11. 0
  12. a
  13. i +1za
  14. y IUxta 8. 25, CCu K = = F. CX
  15. quo signo negatiro apparet k ec + ad dirersis ap-
  16. plicatae N o Partibus Carui oportere, e cui-
  17. vam AN KC invertendam. Ouod hic, ne f-
  18. Suras mulciplicaremus, nos negleximus; Ec
  19. quiris, ubi cilus hoc requirie, in sequeneibus
  20. ex calculo Cacile supplebic.
  21. Locetur, Si y ponatur ad quamlibee parabo.
  22. Laim, UEliE pP = rP 1X 4, Focc Z ad quamlibce
  23. lxperbolam, cujus aguatio Z P X I E rP + 9.
  24. 28. Detur rurlus currarum relatioy 3 = p p-921
  25. crit aequatione ad infinicelimas redueta deleril-
  26. que delendis 5. 6, e7, p a yp- 1 = gr P 4Z 4- 10
  27. quae ducta in y Z dabune p a y PZ = 9rP - 42 1 y0
  28. e dirisis DeF y P = r P. 4Z4, CeiE:
  29. juxta 5. 25, adcoque k = 2
  30. omnt
  31. a 0 mut a
  32. 23. Flinc, si omnis generis CiRoidalium tan-
  33. sentes quis desideret, hat currarum relatio,

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 38. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0060?run=74