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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 35

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: 0.91.

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

The machine reads it as

  1. I B C F. IV
  2. terrallum LR minuS IpSORL; seu generalius efferendo, libere sum.
  3. peis ipsis M N, NO erit IR. RL = QMN. N O. hoc vero non
  4. aliter, opinor, elesantius quam ex adjunctis uno, vel alrero Theore fii8. 43.
  5. mate constabit.
  6. XVI. In primOCatu; SIE (uE antehaC) ZB. AB: : L. R; super
  7. que diametro Z B constiruatur semicirculus; cui a puncto B adapte-
  8. tur BD = BA; e per puncta L, D ducta recta retringenti occur-
  9. ratIn Y; cum ad semiaxes BZ, BY (centronempe B, vertice L) de
  10. Tcribatur Hyperbole HIZC; in hac aurem sumpro quolibet punctoS
  11. ducantur S N ad A B, _ SR ad P F parallelx. Denique ducancur F18. 44.
  12. AN, KNa; eriE R M a incidentis A N refractus.
  13. Nam ex yperbolae natura est RB9 = ZBg. BNG:: BZ9.
  14. BYg:: ZD g. BD9 (hoc est):: ZB9 - ABg. ABg. quare
  15. componenco HB9 -L B g BNg. BNg:: Z B9. ABq hOc
  16. eAtRN9 -ZB9. BNg:: ZBg. ABg. permutandôque R H9
  17. Z B9. ZB9:: BNg. A B g rursulque componendo RI9.
  18. ZBg:: ANg. ABg. denuoque permutando RN9. AN9::
  19. ZB9. AB9:: Ig. Rg. quarEKN. AN:: l. R. ergO RN ip.
  20. siuS A N retractus exic: . F. D.
  21. ZVII. Elinc retractorum cum axe ConcursuS (puTa L, R, L) à sC
  22. distant incerrallis ordinatim applicatarum ad Pyperbolam, puta recta-
  23. rUI, BZ, MR, NS, OT; vel iplaruM O, ZI, ZR, ZL. IIX re-
  24. ro (ceupaltim notum, ex a nobis aliquando generatim circa cunctas
  25. hujusmodi curras ostensum est) in majori ratione crescune, quam ip (x
  26. BM, BN, BO; nempCZL. QRL LI. RS. _EQR. ZIE RS.
  27. PR. quare Paris liquet propolitum. Fnimrero prope verricem L.
  28. ordinatarum difterentix perquam exisux sunt; ue bene multorum
  29. perpendiculari A B adjacentium radiorum retracti relur e puncto
  30. Lmanare videantur; utcunque circa ipsum praecipue constipantur.
  31. XVIII. Flaud absimiliter, in secundo casu, super ipsa AB describa.
  32. tur semicirculus; _ huic accommodetur BD = BZ; _ COnneKA
  33. procractaque AD retringenti occurrat ad Y; tum centro B semiaxi-
  34. bus BZ, BT describatur ellipsISHIZ C3; Cc in hac accepto quocunque P18. 45.
  35. puncto S ducantur S AI ad Z B, _S R ad FF parallela; connectan-
  36. tur denique rectae ANI, KN; eric R N incidentis A N retractus.
  37. Frenim ex ellipsis natura eAtRS9. Z B4--SNg:: BYg. BZ9
  38. i: BF9. BDg::B A9. ADG:: BAG. BAg- B29. _ per COn
  39. vexsam

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 35. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0063?run=74