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[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 81

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: 0.86.

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

The machine reads it as

  1. 2
  2. L AP. I.
  3. Analysis Infinitorum.
  4. tanoentem TD insiper recta BH, Curram ADE cangenti
  5. in E, cum TC ipE BE perpendiculari, eriejuxra lemma-
  6. tapraemista triangulum BTC paricer ex insiniresimis com-
  7. Posicum; quin de Fis. XXII. ductis DR 2C ES, tangen-
  8. ribus TD ac BF normalibus, crichisintercepca axis por-
  9. EiO RS, alixeque quam pluTiMA HTA, AE, RC. ex infini-
  10. relimarum penere; quarum consideracionem, cum tangen-
  11. tium doctrinam mulcum promoreae, quin _ currarum
  12. mixcilineorumque mensuras imtmane quantum adaugcac,
  13. his annectere mectiodique hujus unirersalicatem, ac majo
  14. remlonge, quam prima tronce promitrere videtur, exten-
  15. tionem demonstraste Forlan non infructuorum fuerie; insi-
  16. mulque non ubique obrium cheoremarum Foncemtocrivo
  17. Scacurientem ostendiste; modo, quod hocinlabyrinchos-
  18. um est Ariadnes, incer InAniTesIMZS, 2C guantitaresreje.
  19. ctaneas ex le ribus lemm. r0. XC. exacte dictinsuaeur.
  20. 78. SINEFIT. XXII. Ut CuPEa, FQ: t, Ad: x,
  21. eD: Y; InsinitesIma D HI: C, HF: a, D F: W, DR
  22. tangenti D Z normalis; BE sic ea linca; qua
  23. Tansac curram in E. puncto ipsi D proximo, _
  24. huic perpendicularis F S. CrHnE, Iuxta Lemm.
  25. 18, BT: I. LUM R S: O, PaTITEF INANITCLIMIE.
  26. DCtE jam CurrA OMLL ejus natUEX, uE ductis
  27. D M; F L, _C. ipsi AO parallelis, Sit continuo
  28. M agnalis Z 9, _ G L aequalis B P; Crit, Fact2
  29. XMiPECF aequali de aequidistanti, lineola XL;
  30. seu disferentia linearum 6C ec YML aqualis
  31. 56 P seveF I; _ M X = a. Sic insuper alia
  32. CuEVA ZKV illius proprietatis, ut ejus applicata
  33. DK iplam gR (cuL, ec Pr iptam PS ICUI = e +0
  34. Contanter adXGuCF; CrIE X N ParaHlela O P: e;
  35. ec NY semper aqualis RS =O P SCU,0 = e, tan-
  36. Sat autem MZ CurVaM O ML L, CICque LY: h. GUx=
  37. ritur C.K, LANGENECM CUEVA ZKV determinaNS.
  38. Hinc
  39. 81

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 81. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0103?run=74