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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 42

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: 0.90.

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

The machine reads it as

  1. F18. 3Y
  2. E18. 32.
  3. l. B C F. V
  4. Ducatur enim quavis HO; haec tangenti prius occurret, pura ad
  5. R. liguet H R majorem esse quam HM; multoq; magis ese HO
  6. C HIM,
  7. ZI. Etinc Circulus Centro H per M deseriptus curvam concin-
  8. Set.
  9. ZII. Eriam inverse, si HI M minima sic omnium qua ab LI 2d
  10. curram duci pollune, exit H M curra perpendicularis.
  11. Nam quoniam HI M minima ponitur, circulus cenero II, incerrallo
  12. quoris HIS, majori quam HIM, curram secabit, de proinde rangentem
  13. MT, hanc pnca in K. ergo quum (ITH RC HIM, non erie angu-
  14. lus HRM rectus. iden de punctis omnibus in recta T M evidens est.
  15. erso tangenei perpendicularis non alibi quam in punctum M cadit.
  16. XIII. Ouineriam si recta HIM minima sic omnium quae ab HI
  17. duci possunt, eiq; perpendicularis sic recta TM; haC Curram can-
  18. BCt.
  19. Nam tangat alia, (Si fieri Porest) ZM; erit ipitur X MI ad EX M
  20. perpendicularis. Ondepares erunt anguliHM X, HMF, torum
  21. e ParS O: F. A.
  22. ZIV. Dico porro minimX HIMI propiorem HI N remotiore HO
  23. minorem este.
  24. Nam ducatur subtensa M HI; haec producta curram tran(gredietur,
  25. ex iplam IIO secabit, pata in R. _ quoriam AnguluS AIM R obeu-
  26. sus est (major illonempe, quem tansens cum HM constiruit ad M)
  27. eric LI. VR masis obtulus, adeoq; recta HIRL HIHIOCmaSISHIOL HHI.
  28. ZV. Hinc perspicuum est Circulum quemvis Centro H deseri-
  29. prum, uno rancum ad ea Idem puncti M partes puncto curra occurrere;
  30. nec omnino pluries isitur, quam in duobus punctis.
  31. ZVI. Perpendiculari H M parallelae, sint rectae IN, RO; Ha-
  32. rum propior INremotiore R O rectins incidet.
  33. Nam per NI, O ducantur ipli currae perpendiculares R NI, FO, H∞
  34. cum ipsa AM intra curram conrenient, puta ad R, Sc P; sibi vero
  35. iplis in.
  36. Liguet jam elle ang. FOR = anS, FP HE anS. PRO = an
  37. NREI = anS E N J. Cimm ers o sic ans. F. O R raajor aveulo F.N)
  38. liguet propolicm.
  39. XLXXVII

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 42. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0254?run=74