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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 129

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. V
  2. E E CF. ZII
  3. in puncto M, ductisque rectis M P Z ad BD, _MO Y ad AD
  4. parallelis, Politoque rectam M T tansere CurVaM AMB, CIETP.
  5. EM:: OY. PX; CrUNE fIGUTX ADR E, DBLO Sibimet aequa- F18. 201.
  6. leso
  7. Valet hoc converlum. NNempC (I fBuTK ADR F, DBL C X
  8. quentur, _ MT CUTTaI A M B tanSAE, Crit YP. PM:: X.
  9. PX.
  10. Noc. Omnium hactenus Propolitorum Faecundissimum est hoc
  11. Theorema; Peaecedentium quippe complura vel in eo continentur, gue
  12. ab eo facile consectantur. Nlam posito lineam A M B indeterminatam
  13. esse natura, Si ipCarum F Z R, C: Z L allerutra pro tuo arbitratu de-
  14. terminetur, exinde resultabit Theorema quoddam ejusmodi, qualia
  15. superius exhibentur aliquammulta. Si c. e. linea Ca Y L ponatur recta
  16. cum ixCa B D Temi- rectum constitmens angulum (quo casu concipiun-
  17. tur puneta D, C coincidere) proveniet inde prima Lectionis XI. Si
  18. OFI sic recta ad D B Parallela, emerset Lectionis ejusdem. RUr- Fi8. 202.
  19. suS(I F MI = P X (vel lincx AM B, F XK snt exdem) conseque-
  20. turhine decima ejuldem. Fxhrinc porro liquet adsumpro cuilibet spa-
  21. cioinfinita; genere diversa spatia aequalia Facile designariveluri ( spa-
  22. rium D C: L. B Ponatur circuli quadrans, cujus centrum D; e curra
  23. AM B Cic parabola, Cujus axis AD, CMErCE CUEVA F XR HXC PrO-
  24. prietas, ut (BI dicatuE DB = Y; AP = = X; P X = y; _ k (vel
  25. DB.
  26. 2AD Cit parabolae semiparameter) (it - = ke k x J. x yy. Sin
  27. AM B Bonatur hyperbola, procreabitur alterius generis curra PXR.
  28. hisautemm expenlis a Bncliar meam inculo, qui non hoc Fheorema ((I-
  29. cut ex ea quae subsequuntur, quorum fere ratio consimilis est, _ sup.
  30. par uuS) primo loco poluerim, e ex eo (nec non e reliquis mOX
  31. subjiciendis) quod fieri posse video, reliqua deduxerim. Veruncamen
  32. hujusmodi Phrysiam sapientiam juxta mecum plerisque Familiarem au-
  33. cumo, liceras has cractantibus.
  34. Lheot. V
  35. Fi
  36. comprenemu) i scet eusra LLLI CL caCtuca, ic Cuera L16. 203.
  37. A MB libere sumatur punCtuM MI, dUCALUFD M Z, SIE DO =-DN,
  38. ducatur Y ad D B perdendicularis, sit D I ad D M perpendicula-
  39. ris, recta M T curram A M B contingat; (I, his inquam suppositIS, (IC
  40. TD. DM:: DMX GY. DX G, eriT spatIUM DCL. B spatiI ED R
  41. duplu
  42. Theor.
  43. Sic spatium quodxiam A D B (rectis D A, DB, _ curra A MB

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 129. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0371?run=74