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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 105

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: 0.89.

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

The machine reads it as

  1. LECT. ZII.
  2. N suscepto nesorio progredimur; quod uc (quarenus licer) decurre. Praparatie
  3. mus, verbilque parcamus; obserretur, in sequentitus ubique line. Communis.
  4. am A B curuam esse (quales rractamus) quampiam; cujus Axis AD.
  5. huic applicatas omnes rectas BD, C A, M F, HYO perpendiculares;
  6. SE ML, NS, CB parallelas esse; punctum M libere sumi; arcum
  7. MN indetinire parrum esse, rectam a 6 CUEVX V B, a H CUrYX A M,
  8. HrarCNi M HI aequales esse; ad rectam a C applicaras ci perpendicu-
  9. lares esse. His praectratis,
  10. Y. SitM P currX A B perpendicularis, _ lincx RZL, aes Fa- Fig, 156,
  11. les, ut F Z. ipLIM P, _C i P ipSIM P aequentur; erit spatium abs ipsi
  12. AD L K aequale.
  13. NaM TrEanCHLAMI R NI, P F M similia Tunt, adeoque MH. N R
  14. S5P M. MF. unde MI BI X NI E = NTR XP M, hoc est (substituris
  15. aequalibus) TV XB P = FG X FZ; Peu rectang. HD = rectang. PH;
  16. spatium vero ac s minime differe abs indetinire multis rectangulis,
  17. qualia ud, ec sparium AD L R coridem rectangulis, qualia PLI, X-
  18. quiraler. unde liquet Provositum.
  19. II. HinC, (ICUEVa A M B circaaXeM A D rOretuT, habebit le pro-
  20. 157.
  21. ducta superficies ad spatium AD LK, ut C ircum ferentia circuli ad ra- Fig. 256.
  22. dium; unde noro spario A D L K cognolcerur dicta superficies. C OR.
  23. sequenrix racionem jam arcea pridem altignarimus.
  24. TIT. Fxhinc Sphaerae, Spharoidis urriusque, Conoidumque superficies
  25. dimensionem accipiunt; nam (I A D Cu conicae lectionis, a qua iltae
  26. tioure oriuntur, axis; linea R Z I semper aliqua conicarum existet,
  27. haud difficili nesorio dererminabilis. Hoc supsero cantum, quoniam
  28. nunc crulgatum habeEUF.
  29. a ta atcut

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 105. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0339?run=74