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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 114

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. e1B. 272.
  2. E. F C T. ZII.
  3. ur in circumf. AM B sumpto utcunque puncto M, de per hoctrajecta
  4. recta BMZ, ductaque rectA MEZ, gux curram AL Z secet in L,
  5. SIEMZ = AS) in recta vero a 6 sumatur apo xequalis arcui AN, 8
  6. ad ap applicentur rectae perpendiculares p E ae quales arcuune AM sina
  7. bus vOrsIs AF; erie sparium crilineum M A L sparii a u E duplum.
  8. PTamm CumatuE arous ML NI indefinice parrus, _ ei aequalis per; du
  9. Caturque recta NV R ad A B parallela, connectaturque recta C. M. FR-
  10. que jam AS. A B (2 CM):: (F M. FB::) AF. FM. ∞ 2 C M.
  11. 2 MA N:: C M. MHI::) FM. NR. quaprOPTeE erit ex aequO AS.
  12. 2MHI:: AF. NR; _ ideo NIR X AS = 2M HYX A F. hoc est
  13. N RRXMZ = 2 HVX pE. unde spatium MI A Z duplo spatio a p E X-
  14. quatur.
  15. Hinc cum spatii a p E dimensio rulgo nOta SC, _ C supra posiris
  16. etiam Facile deducatur; habetur spatii cissoidalis M A Z dimensio. Cai-
  17. culum ineat qui rolet.
  18. Icta claudet hoc Conscctariolum:
  19. ZV. Sic circuli quadrans A C B, circulumque tansane A. II, BC;
  20. (InEQUe CUEVa RZZ, L. F O hyperbola exdem quae (a) superius. ar-
  21. cus vero sumprus AM in parres dirisus concipiatur indetinite multas
  22. punctis N; per quae crajiciantur radii C H; e his occurrant rectae
  23. AX ad puncta X; summa rectarum IVX (in radiis) aequatur spacio
  24. AFZ R
  25. Rad. _ summa rectarum NVX (in parallelis ad A5) equatur spatio
  26. PLOO
  27. 3 Llac.
  28. Nlam eriangulum Z M N triangulo S A C simile cAt; d inde X N.
  29. MN:: AS. C A. _ XN. MH:: C S. C A. unde XM =
  30. M N X AS
  31. CA 5d XN=
  32. MNXCS
  33. CA
  34. Prolitum, Cx 2, ec 7 harum.
  35. .e itu in reliquis; unde liquet
  36. E18. 172.
  37. F18. 1730
  38. 2)1 a.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 114. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0348?run=74