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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 67

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: 0.87.

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

The machine reads it as

  1. E F CT. VTII.
  2. Nam asymptoris E R, A B Per F descripra concipiatur hyperbola
  3. OF O; cui occurrat à D projecta guxepiam DO, lineas expolitas (a) Convers. 9
  4. secans, uti cernis. FAque QO (a) = DP; (b) quareMOC D P Lect. VI.
  5. (0dE, DEI (b) =M NI. ergo hyperbola O FO CUrram YF N Lan- (6) Hyp.
  6. BIt
  7. (5) Fiter.
  8. Verim (d) recta L. Shyperbolam O FO tansit; BXCItAQUC CUEVAM (d) 9. Buju.
  9. YF N quoquetanzet.
  10. NoL. Si X F M ponatur linea recta (vel ipsi P. R coincidar) erit
  11. YF N Conchois prima vulsaris, Peu Nicomedea; hujus ipitur tangens
  12. e generali ratione quidam habetur determinata.
  13. ZIII. Sic recta L A, curraque quaepiam B F I; cum alia CuEVA
  14. DF Ctalis, ut dueta libere recta P FF ad pelitione datam quandam
  15. parallela, postic recta P E quadratum ex P P una cum quadrato ex da- Fis. 87.
  16. Ea Z; item curram B C I tangac recta F T; tum Hac PF g. PF9::
  17. P Z. P S; connexa SF curram D FC tanget.
  18. NIAM CONCIPIAEUE CUEVA V F EI calis, ut libere ducta O R ad P Li
  19. parallela (quae lincas expolitas secet ut vides) (IE DErPeTUO OR9 =
  20. OHg. L9; unde quoniam est QR (a) C Gl; exit OK9
  21. Ca) Hyp.
  22. L4c OI9 - Z q3hoc eAt OHgL GG9; ergO CUrra V FH (B) 22. Lett. 6.
  23. curram D FCcanset ad F; (b) est aurem curra V FHI hyperbola, quam (C) Cor. 22.
  24. (5) cansit recta SF. hxec itaque curram D FC quoque conrin- Lcct. L.
  25. BCI.
  26. ZIV. Cxrera ponantne eadem; at jam P P una cum quadrato ex
  27. daTA Z POSSIE QuadIEaTUIM Ex P F; RarquE P F g. P F G:: PT. PS; FI∞. 88.
  28. e connectatrur FS; haec rurtus iplam C F C continger.
  29. Similis est demonstrario; sed adhibe 23am prime Lectionis.
  30. ZV. Sint CUrVx duIX AE B, CCD, communem habenteS AXeM
  31. A D, ac ita versus se relatxe, ut duetâ quacunque recta F F. C ad AD
  32. perpendiculari (quae rectas expoticas secer nie vides) sic summa qua-
  33. dratorum ex ipsis F F, P C. aequalis quadraro ex decerminata recta L; Fig. 89.
  34. tansar autem recta F R ex his curris unam AFB; _ HaC F F 9.
  35. FGq:: F R. FT; COnnexa C. T CurraM C GD quoque tanget.
  36. Concipiatur enim curra OCO calis, ut ducta rectâ R QO (qua
  37. rectas FR, PR secet punctiS R, C cueram OCO in O) (IIO K9
  38. 20 == 29; erit ideo OKg - + 209 = O19. -OL9;
  39. _E Cu SEOK9 (4)C OI9, erir ideo OOg3 OL 9. itaque (a) Hy.
  40. curra O GO curram C G D (inerortum) cansic. (b) Es auem (ex (6) 24. Loct.
  41. E
  42. Ostenlis)

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 67. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0291?run=74