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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 68

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: 0.88.

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

The machine reads it as

  1. L. E C F. VIIK
  2. Octensis) curra OOO Ellipsis, quam recta C P tangit. ergo recta
  3. C T curram C. C, D quoque TanSCF.
  4. ZVI Sit curra guxepiam A F B (cujus axis AD, _ ad hunc ap.
  5. plicata D B) sic etiam alia curra VC C ad iltam lic relara, ut a desig.
  6. nato quodam in axe AD punito Z ad curram A F B utcunque ducta
  7. recta LF, _ per F ducta recta F F C ad DBC parallela, sIE LC7
  8. aequalis ip(I Z F; SIF autem P O perpendicularis CurVX A FB. SU
  9. maturque R aequalis ipsi Y F; connexa recta C, R ipli currXVGC
  10. perpendicularis crit.
  11. Nam ducatur F T ad ipsam FO perpendicularis, Peu curram AEB
  12. tangens; _ concipiatur curra OC: Ocalis, ut dueti quicunq; rectâ
  13. HIRO ad E FC parallela (gux rectas T F, T F, _ curram OG
  14. secet punctis H, K, O) connexaque Z K, SEHIO -=ZK; tum du-
  15. (6)25 Fec. VF Cta Z. I, quoniam HK (a) = HI, CFIEZ RE Z I, velHOC HL.
  16. quare curra OC O curram V C,C cansit. (b) F.st aurem OC
  17. (ex oltensis) Hyperbola cui perpendicularis cst recta GR; eadem
  18. itaque CR CUrYX V C C quoque perpendicularis erir: Quod E. D.
  19. ZVII. Sint recta DO. duxque CUEVX D R S, D Y X ita relatX.
  20. ne ductâ urcunque rect a R P Z ad positione datam D B parallela (quae
  21. dictas lineas secet, ut perspicis) connexaque recta D Y, sit Cemper
  22. RX. DY:: DY. PY; tangat autem recta R F CUrraM D R S ad R;
  23. OPOrTCE CUTVX D P X cansentem ad P rectam delignare.
  24. Concipiatur linea D Y Ocalis, ut duetâ urcunque CO ad DB pa-
  25. rallela (guxe lineas F R, PP, DY O secet punctis C, P, O) connexd
  26. que DO s semperCiO. DO:: DO. PO; tanset Curra DYO
  27. curram D Y Z ad Y; Nam secet recta C1O CurVAS DR Si, D Y X
  28. punctisS, X; _ connectantur recta DC, DS, DZ; patet (e cur-
  29. varum nacura) angulos XDP, DSP; nec non angulosODP, DCP
  30. requari; quare rum angulusD S P major siransuloD CP; exit an-
  31. sulus X D P angulo ODP major, adeoque PX major erit quam P O.
  32. hinC CUrVa D YO CUrraM D Y X tanget ad Y. eAt autem curra DYO
  33. hyperbola (a) superius determinata; Hanc cansat XS; taec igitur
  34. suxram B Y X quoquetanget.
  35. NoF. Si Curra D R S sit circulus, et angulus 2 D Brectus, erit cur-
  36. ra D Y Xcissois vulgario, hujus icaque (cum innumeris aliis limilirer
  37. peniris) cansens hic detinirmr.
  38. AVdal. L. aa Clalai husC xect D L B3 uqe C aD L A
  39. talis:
  40. F18. 90.
  41. (a) Hyp.
  42. B
  43. 4) XZ Lec
  44. NiB. 920

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 68. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0292?run=74