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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 71

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: 0.89.

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

The machine reads it as

  1. Ru B. C F. IL
  2. M:: PZ. P Y iconneCtatErque rectA FY; AXC CUrraM FBP continget.
  3. Nam per P duCaEHE recta C F ad AB (vel V D) parallela: conci-
  4. piaturque per P cransiens curra H F H calis, ut ducta quapiam OL.
  5. ad D F: Parallela (CurraS F BP, H F H in L, _ H; rect asque CF.
  6. V P in Lac O secanre) Cir semper OH inter Y, L. eodem ordine
  7. edia, quo P Li InteF P C, PB; e praecedente jam constat rectam
  8. connexam FY curram II EH contingere; verum curra HEH (a)
  9. analo82. eA curra F B F; (b) ergo recta F Y. curvamI F B F quoque 4 7. L ect. 7.
  10. ContinsCF.
  11. IV. AdnOtetuE, Polito lineam F. B P rectam esse, quod linea FBF
  12. b 5. L.bCl. 68
  13. parabolarum seu parabolitormium aliqua lic. Quare quod de his pas-
  14. lim obserratum habetur (ex calculo deduclum, e inductione quadam
  15. comprobarum, nelcio camen an uspiam Geometrice osten sum) ex im
  16. mensum aberiore Fonre manat, ad innumeras aliorum generum curras
  17. se dittundente.
  18. V. TIInC APerTE ConseCtAtE; (I. TD CIE recta, sintque dux qua
  19. dOM CUTPX P P E, F F F ita ad se reluta, ut ductis recIsP F F ad F,9. 96
  20. politione datam B D parallelis, sint ordinata P F. semper uE guadrata
  21. ex ordinatis PF: RCCLX VerO FS, FT (ex ejusdem communis ordis
  22. natae terminaris ductx) currashasce contingane; erit TP = 2 SP
  23. Ouod si ordinaEx PF se habeant uc iplarum P’F cubi, erit TP = 3SP
  24. si P F line ne quadraro quadrata iplarum P F, erit TP = 4 SP; ac
  25. Sc eodem ad iNfINILUM CONLIMLLO FenOIE.
  26. VI. Sic Porro Circulus AB C, cujus Cenrum D, radius D B,
  27. item linex F B F, F B F per B transeuntes, ac ita relatx, ut ducta fis. 97
  28. per D rectâ guapiam DO, sic semper D ii eodem ordine media Aricti-
  29. metice inter DCI, DF; tangat aurem rect a B O CUrVAIM P BP in B;
  30. ODOTFEL CUEVX F B F cansentem (ad B) delignare.
  31. HOC (CerEE (a) generatim quadantenus praesticum) e re Fueric hic
  32. speciatim apertiis arque plenius exequi: Duortum sic DO ad D B a 8. Lect. 8.
  33. perpendicularis, quam secer B O in S; HaE VerON. M :: DS. DT;
  34. connestacurque recta TB; MXC CUEVaM F B F tanSCE.
  35. Tansatenim recta P B circulum ABC; secenturque rectae DS f. 8. (97.
  36. in 22, _c BS in Y, ita ut SIEDS. DX:: M. N:: BS. BY; perque
  37. puncta Z, Yducantur XZ ad BS, ex EV ad DS Parallela, concur-
  38. rentes in C; cum asimptoris Y C Z per B craducta concipiatur hyper-
  39. bola L. B L; porro ex D projicintur. nreunque recta D P dictas lineas
  40. InFeF

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 71. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0295?run=74