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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 77

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. L E C T. X.
  2. LER Pele contingunt. (C) QUaRE CUrVXDTF, R F R se quoque con (1) 2. Led
  3. rins ent. (∞) ergo denique recta F S curram DIF continget.
  4. VIII. Ouod ( rectae D F quamvis aliam constanter candem ad ar-
  5. cus A Fi racionem obrinuerine, itidem delignari porest recta curram
  6. DIFransenS, exhac, e seprima octara Lectionis; erit urique tan-
  7. sens ilta huic L.S Parallela.
  8. IX. Tlinc nedum spiralis circularis, act innumerabilium simili ratione
  9. prosenitarum aliarum currarum. Fangentes deterinantur.
  10. VHL.
  11. Ho SinE Curra GuX PIAMI A EHI, reCta A D (in qua determinatum F18. 108.
  12. punctum D.) rectâ DH politione daca; sic item curra AO B calis,
  13. ut in hac assumpro quocunque puncto (, e per hoc ac D projecti
  14. recta DC F (quae curram A E II secet in F) ductaque G F ad DHI
  15. Paratlela habeant A F, A P altignatam rationem X ad Y; tangat au-
  16. tem recta E Icurram A E. HI; recta desisnetur oportet, qux curram
  17. ACB ad O tangaL.
  18. Fiat recta P V aequalis arcui P A; e concipiatur curra OCO ta
  19. lis, uc projecta quacunque recta DOL (qua curram OGO secet
  20. punctoO, rectam F T in L.) ductaque O ad GF parallela, (IF
  21. VL. A. Q:: X. Y; estque curra CO (e supra monstraris) Hy-
  22. perbola; hanc tansat recta 6S; etiam recta CS curram A G B
  23. continget.
  24. Nam concipiatur altera curra. N O N talis, ut cum hane secer recta:
  25. arbitraria D L IN N, CUrVaM A F HIIn K, rectam TF in L; ductaq.
  26. sic NH ad C. F parallela, (IEVL =) LI. AR:: Z. X; manise.
  27. cum est. curram NC N utramque curram AC B, _ O C7O tanse.
  28. re. Isecet enim recta. DL curram A F B in L, ducaturque lP ad:
  29. CF parallela; quum ergo sIE V L -)- L. R. AR:: X. Y:: AR.
  30. AP, _C SIE VL. ). LR L AR; CrIEARC. APS vel DR -3
  31. DP: adeoque D N- = DI; unde punctum N intra curvam ACB.
  32. Temper cadet; ac proinde curra NGN Curram ACB Tan.
  33. set; limilique plane discursu curra NONI curram OC.O concin-
  34. BCF. ). Itaque currX AG B, OOO Pele (xequipollenter) tangunt.
  35. Duare cum recta C,S curram OC Oransar; eadem curram A. G. B
  36. quoque continget: Q. F. F.
  37. Sicurra A P. HI sic circuli quadrans, cujus centrum D; erit curra
  38. A C B Ouadratrix communis. Ejus isicur Tangens (una cum omni-
  39. um simili racione genicarum cans ertibus) hoc pacto delixnatur,
  40. Fhujusmodi.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 77. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0301?run=74